Wavelength selection member and wavelength selection unit
Patent Information
- Application Number
- JP2025541098
- Authority / Receiving Office
- JP · JP
- Patent Type
- Patents
- Current Assignee / Owner
- Priority Date
- 2024-03-07
- Filing Date
- 2025-03-06
- Publication Date
- 2026-02-10
- Estimated Expiration
- 2045-03-06
AI Technical Summary
Existing automotive radar systems using millimeter waves above 76 GHz and below 77 GHz struggle to accurately detect obstacles due to insufficient reception strength and S/N ratio, necessitating improved wavelength-selectivity and reflection intensity of millimeter waves.
A wavelength-selective member comprising square-shaped units with a resin and a metal foil of specific shape and dimensions, arranged in a 21×21 matrix, optimized through machine learning and electromagnetic field analysis to reflect millimeter waves with frequencies between 76 GHz and 77 GHz with a desired intensity.
The proposed solution enables radio waves in a specific wavelength band to be reflected with a desired intensity, enhancing the radar's ability to detect obstacles accurately.
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Abstract
Description
[Technical Field]
[0001] The present disclosure relates to a wavelength-selective member and a wavelength-selective unit. [Background technology]
[0002] Japanese Patent Application Laid-Open Publication No. 2017-5578 discloses a metamaterial structure in which a plurality of cells are arranged periodically, the cells including a first layer having a ring-shaped first peripheral portion, a first central portion arranged inside the first peripheral portion, and a first connecting portion connecting the first peripheral portion and the first central portion.
[0003] Japanese Patent Application Laid-Open Publication No. 2016-92503 discloses a laminated metamaterial substrate in which two layers are stacked, wherein one of the layers has resonant elements of the same shape formed on the substrate, which are regularly arranged in the vertical and horizontal directions of the substrate, and the other layer is formed on the one layer or on a different substrate, separated from the one layer by an inter-layer distance, and has resonant elements of the same shape as the resonant elements of the one layer, which are regularly arranged in the vertical and horizontal directions of the substrate, and wherein the transmittance of electromagnetic waves incident on the laminated metamaterial substrate exhibits minimum values at a number of resonant frequencies equal to the number of resonant modes obtained by mode coupling between the resonant elements of the one layer and the resonant elements of the other layer.
[0004] International Publication No. 2019 / 208515 discloses a steel plate-fiber-reinforced resin composite comprising: a steel plate member made of a steel plate or a molded product of the steel plate; a first resin layer located on at least a portion of the surface of the steel plate member and composed primarily of a resin composition made of two different materials; and a second resin layer located on at least a portion of the surface of the first resin layer and composed of a fiber-reinforced resin containing reinforcing fibers in a matrix resin, wherein the resin composition of the first resin layer contains phenoxy resin and polyester elastomer in a mass ratio (phenoxy resin:polyester elastomer) ranging from 20:80 to 80:20, and the resin composition is observed with an atomic force microscope (AFM) equipped with a probe with a tip radius of 10 nm in an atmosphere at 25°C. In this image, the area ratio of the areas where a phase-separated structure due to the phenoxy resin and the polyester elastomer forms is 1 area% or less of the total observed area. Summary of the Invention [Problem to be solved by the invention]
[0005] In recent years, driver assistance systems that assist vehicle operation and autonomous driving systems that automate driving have attracted attention. In particular, automotive radars using millimeter waves above 76 GHz and below 77 GHz have been attracting attention as the primary sensors for automotive sensing. For such sensors to accurately detect obstacles, it is essential to improve the radar's reception strength and S / N ratio. To achieve this, millimeter waves emitted from the automotive radar must be reflected from obstacles with high intensity and wavelength-selectivity. To meet this requirement, metamaterials, materials composed of patterns of unit structures significantly smaller than the wavelength of the electromagnetic waves to be controlled, have attracted attention. Metamaterials are a technology that can exhibit various electromagnetic properties depending on the material and the shape of the unit structures. Representative properties of metamaterials include a negative refractive index and wavelength selectivity. However, to meet these requirements, the design of the material and unit structures must be optimized.
[0006] The present disclosure has been made in consideration of the above circumstances and provides a wavelength-selective member and a wavelength-selective unit that can reflect radio waves in a specific wavelength band with a desired intensity, in other words, a wavelength-selective member and a wavelength-selective unit that can transmit and attenuate radio waves in a specific wavelength band with a desired intensity. [Means for solving the problem]
[0007] A wavelength-selecting member according to a first aspect of the disclosure is a wavelength-selecting member in which a plurality of square wavelength-selecting units, each having a resin and a metal foil of a specific shape arranged on the resin, are arranged adjacent to each other, wherein the thickness of the resin is 0.5 μm or more and 100 μm or less, the relative dielectric constant of the resin is 2 or more and 5 or less, and the conductivity of the metal foil is 1.1×10 7 S / m or more and 6.3 x 10 7 S / m or less, the length of one side of the wavelength selection unit is 1.44 mm or more and 1.98 mm or less, and the specific shape of the metal foil is a shape that is asymmetrical left and right or asymmetrical up and down.
[0008] A wavelength-selecting member according to a second aspect of the disclosure is a square-shaped wavelength-selecting unit having a resin and a metal foil of a specific shape arranged on the resin, wherein the thickness of the resin is 0.5 μm or more and 100 μm or less, the relative dielectric constant of the resin is 2 or more and 5 or less, and the conductivity of the metal foil is 1.1×10 7 S / m or more and 6.3 x 10 7 The length of one side of the unit is 1.44 mm or more and 1.98 mm or less, and the specific shape of the metal foil is a shape that is asymmetrical left to right or top to bottom. [Effects of the Invention]
[0009] According to the present disclosure, radio waves in a specific wavelength band can be reflected with a desired intensity. [Brief explanation of the drawings]
[0010] [Figure 1A] FIG. 2 is a perspective view of a wavelength selection member. [Figure 1B] FIG. 2 is a perspective view of a wavelength selection unit. [Figure 2] FIG. 10 is a diagram showing the flow of a calculation process for a specific shape of a metal foil. [Figure 3A] FIG. 10 is a diagram illustrating a product shape and a sum shape. [Figure 3B] FIG. 10 is a diagram illustrating a product shape and a sum shape. [Figure 4] FIG. 10 is a diagram showing a wavelength-selective member divided into a plurality of cells. [Figure 5] FIG. 1 is a perspective view of a calculation model. [Figure 6] 1 is a graph showing transmission characteristics for each relative dielectric constant of resin. [Figure 7] 10 is a graph showing transmission characteristics for each resin thickness. [Figure 8A] 10 is a graph showing transmission characteristics when the metal foil is aluminum or copper. [Figure 8B] 10 is a graph showing transmission characteristics when the metal foil is iron or silver. [Figure 9] 10 is a graph showing transmission characteristics for each length of one side of a wavelength selection unit. [Figure 10] FIG. 1 is a diagram showing an example of a range of a specific shape of a metal foil. [Figure 11] FIG. 1 is a diagram showing an example of a range of a specific shape of a metal foil. [Figure 12] FIG. 1 is a diagram showing an example of a range of a specific shape of a metal foil. [Figure 13] FIG. 1 is a diagram showing an example of a range of a specific shape of a metal foil. [Figure 14] FIG. 1 is a diagram showing an example of a range of a specific shape of a metal foil. [Figure 15] FIG. 1 is a diagram showing an example of a range of a specific shape of a metal foil. [Figure 16] FIG. 1 is a diagram showing an example of a range of a specific shape of a metal foil. [Figure 17] FIG. 1 is a diagram showing an example of a range of a specific shape of a metal foil. [Figure 18] FIG. 1 is a diagram showing an example of a range of a specific shape of a metal foil. [Figure 19]FIG. 1 is a diagram showing an example of a range of a specific shape of a metal foil. [Figure 20] FIG. 1 is a diagram showing an example of a range of a specific shape of a metal foil. [Figure 21] FIG. 1 is a diagram showing an example of a range of a specific shape of a metal foil. [Figure 22] FIG. 1 is a diagram showing an example of a range of a specific shape of a metal foil. [Figure 23] FIG. 1 is a diagram showing an example of a range of a specific shape of a metal foil. [Figure 24] FIG. 1 is a diagram showing an example of a range of a specific shape of a metal foil. [Figure 25] FIG. 1 is a diagram showing an example of a range of a specific shape of a metal foil. [Figure 26] FIG. 2 illustrates an example of a wavelength selection unit. [Figure 27] 10 is a graph showing an example of transmission characteristics. [Figure 28] FIG. 2 illustrates an example of a wavelength selection unit. [Figure 29] 10 is a graph showing an example of transmission characteristics. [Figure 30] FIG. 2 illustrates an example of a wavelength selection unit. [Figure 31] 10 is a graph showing an example of transmission characteristics. [Figure 32] FIG. 2 illustrates an example of a wavelength selection unit. [Figure 33] 10 is a graph showing an example of transmission characteristics. [Figure 34] FIG. 1 is a diagram illustrating a conventional example of a wavelength selection unit. [Figure 35] 10 is a graph showing an example of transmission characteristics. [Figure 36] FIG. 2 illustrates an example of a wavelength selection unit. [Figure 37] 10 is a graph showing an example of transmission characteristics. [Figure 38] FIG. 2 illustrates an example of a wavelength selection unit. [Figure 39] 10 is a graph showing an example of transmission characteristics. DETAILED DESCRIPTION OF THE INVENTION
[0011] Hereinafter, embodiments of the present disclosure will be described with reference to the drawings.
[0012] FIG. 1A shows a perspective view of a wavelength selecting member 10 according to this embodiment.
[0013] 1A, the wavelength-selecting member 10 has a configuration in which a plurality of square-shaped wavelength-selecting units 12 are arranged. For simplicity, in FIG. 1A, the wavelength-selecting member 10 is shown as having a total of nine wavelength-selecting units 16 arranged in a 3×3 matrix.
[0014] As shown in FIG. 1B, the wavelength selection unit 12 includes a resin 14 and a metal foil 16 of a specific shape disposed on the resin 14.
[0015] The wavelength-selective units 12 are arranged in, for example, orthogonal vertical and horizontal directions. The number of wavelength-selective units 12 is not limited as long as they are arranged in a 21×21 matrix, i.e., 441 or more. This is because, when dealing with transmission lines, a length of 10 times or more the wavelength can generally be approximated to infinity. The wavelength-selective member 10 according to this embodiment is intended to selectively reflect millimeter waves with frequencies of 76 GHz or higher and 77 GHz or lower, which are used in, for example, automotive radar. The wavelength of millimeter waves with frequencies of 76 GHz or higher and 77 GHz or lower is, for example, in the range of 3.896 mm or higher and 3.947 mm or lower. For this reason, the wavelength-selective units 12 are arranged in an area of approximately 40×40 mm, with each side being approximately 40 mm, which is approximately 10 times the wavelength of the millimeter wave. As described below, the maximum length of one side of the wavelength-selective unit 12 is 1.98 mm. Therefore, the number of wavelength selection units 12 arranged on one side is 21 (≈40÷1.98), and it is necessary to arrange 21×21 wavelength selection units 12, or more, that is, 441 or more wavelength selection units 12.
[0016] 1B, the wavelength-selecting unit 12 exhibits a wavelength-selecting function when an electromagnetic wave having a magnetic field oscillation in the x-axis direction and an electric field oscillation in the y-axis direction perpendicular to the x-axis direction is incident thereon. Therefore, the wavelength-selecting unit 12 exhibits the same wavelength-selecting function even when rotated by 180°. In addition, the wavelength-selecting unit 12 exhibits the same wavelength-selecting function even when it is mirror-symmetric.
[0017] The thickness of the resin 14 is, for example, 0.5 μm or more and 100 μm or less (first condition).
[0018] The relative dielectric constant of the resin 14 is, for example, 2 or more and 5 or less (second condition).
[0019] The conductivity of the metal foil 16 is, for example, 1.1×10 7 S / m or more and 6.3 x 10 7 The conductivity of the metal foil 16 is preferably 4.3×10 7 S / m or more and 6.3 x 10 7 S / m or less.
[0020] The length of one side of the square-shaped wavelength selection unit 12 is, for example, 1.44 mm or more and 1.98 mm or less (fourth condition). Note that a square shape refers to a quadrilateral shape in which the aspect ratio of length to width is, for example, 1:0.98 or more and 1:1.02 or less. In other words, a square shape refers to a quadrilateral shape in which, when the length of a first side of the quadrilateral is 1, the length of a second side perpendicular to the first side is 0.98 or more and 1.02 or less.
[0021] The measurement method will be explained below.
[0022] The thickness of the resin 14, which is the first condition, is measured according to the method specified in the section "Measurement of dry film thickness / optical method" in the JIS standard (JIS K 5600-1-7).
[0023] The second condition, the relative permittivity of the resin 14, is measured by the open resonator method (JIS R 1660-2) using a vector network analyzer. Note that the second condition applies to the relative permittivity for electromagnetic waves of 76.5 GHz in an environment of 20°C.
[0024] The third condition, the conductivity of the metal foil 16, is measured by the four-probe method described in the JIS standard (JIS H 7194-1994). However, the thickness required to calculate the cross-sectional area of the metal foil 16 is The measurement is performed using a scanning electron microscope (SEM). First, a cross section is formed on the metal foil 16 using a cross-section polisher method, and the formed cross section is observed with the SEM to measure the thickness. Note that the third condition applies to the conductivity in an environment of 20°C.
[0025] The fourth condition, the length of one side of the square-shaped wavelength selection unit 12, is measured using a scanning electron microscope. An image of the wavelength selection unit 12 is captured at a magnification of 100x or more and 200x or less. Next, a first reference point is arbitrarily set on the rightmost edge of the metal foil 16 in the wavelength selection unit 12. Then, a second reference point is set at a location corresponding to the first reference point on the metal foil 16 in the wavelength selection unit 12 adjacent to the left in the image. The distance between the first and second reference points is then measured. This same operation is repeated 10 times, and the average of the obtained measurements is taken as the width of the wavelength selection unit 12. Similarly, for the height, an image of the wavelength selection unit 12 is captured at a magnification of 100x or more and 200x or less. Next, one arbitrary reference point is set on the metal foil 16 in the wavelength selection unit 12. Then, a second reference point is set at a location corresponding to the first reference point on the metal foil 16 in the wavelength selection unit 12 adjacent to the left in the image. The distance between the first and second reference points is then measured. The same operation is repeated 10 times, and the average value of the obtained measurements is taken as the height of the wavelength selection unit 12.
[0026] The specific shape of the metal foil 16 is a left-right asymmetric or top-bottom asymmetric shape. The specific shape of the metal foil 16 is, for example, a shape that satisfies a transmission attenuation condition in which the transmission characteristic for electromagnetic waves with frequencies of 60 GHz or higher and 90 GHz is -40 dB or lower. The specific shape of the metal foil 16 may also be a shape having grooves whose width gradually narrows. The specific shape is a left-right asymmetric or top-bottom asymmetric shape.
[0027] A method for calculating the specific shape will be described below.
[0028] FIG. 2 shows an outline of the flow of the specific shape calculation process.
[0029] First, the shape of the metal foil 16 is reproduced from 32 shape parameters 18 representing the shape, and the reproduced shape is loaded into simulation software for an electromagnetic field analysis method using the finite element method, thereby performing an electromagnetic field analysis 20 of the wavelength selecting member 10. In this embodiment, COMSOL Multiphysics is used as an example of such simulation software. Details of the electromagnetic field analysis will be described later.
[0030] By executing the electromagnetic field analysis 20, the S21-parameter (dB) is acquired as the transmission characteristic (reflection characteristic) 22 described later. The S21-parameter indicates the ratio of the intensity of the transmitted signal that has passed through the wavelength selecting member 10 to the intensity of the millimeter-wave input signal that is incident on the wavelength selecting member 10. In other words, a transmission characteristic of −40 dB or less means that the intensity of the transmitted signal is 0.01% or less of the intensity of the input signal.
[0031] Next, a response variable is obtained from the obtained S21-parameter. The response variable is, for example, the minimum intensity of the transmitted signal and the peak position that indicates the frequency at which the transmission characteristics are minimum (the reflection characteristics are maximum).
[0032] Then, using the 32 shape parameters 18 as explanatory variables, candidate shape parameters 24 are calculated by a Bayesian search process 26 using machine learning with Bayesian estimation, such that the objective variable obtained from the transmission characteristics 22 approximates the desired transmission attenuation condition. Here, the desired transmission attenuation condition is a transmission characteristic of −40 dB or less for electromagnetic waves with frequencies of 60 GHz or higher and 90 GHz or lower. In the frequency band of 60 GHz or higher and 90 GHz or lower, the frequency at which the transmission characteristics are minimized can be adjusted to 76.5 GHz by manipulating factors other than the shape of the metal foil 16 within the range of the first to fourth conditions.
[0033] Before executing the Bayesian search process 26, a data set of various specific shapes and transmission characteristics of known metal foils 16 is prepared in advance as training data, and the Bayesian search process 26 is executed using this training data.
[0034] Thereafter, the candidate shape parameters 24 are loaded into COMSOL Multiphysics again to execute the electromagnetic field analysis 20, and the Bayesian search process 26 is executed repeatedly.
[0035] Then, from among the plurality of candidate shape parameters 24 obtained by the Bayesian search process 26, candidate shape parameters 24 that satisfy the transmission attenuation condition described above are selected.
[0036] Next, a cross section shape is calculated which is represented by the intersection of the shapes represented by the selected candidate shape parameters 24. A union shape is also calculated which is represented by the union of the shapes represented by the selected candidate shape parameters 24. A shape that includes the calculated cross section shape and whose outline is either an outline that is outside the cross section shape and inside the union shape, the outline of the cross section shape itself, or the outline of the union shape itself is determined to be the specific shape of the metal foil 16.
[0037] For example, if the shapes represented by the selected candidate shape parameters 24 are three shapes A, B, and C as shown in Figure 3A, the intersection shape represented by the intersection set of these shapes is the outer shape of the shape obtained by superimposing all of the shapes A, B, and C shown in Figure 3A, that is, the intersection shape 30 shown in Figure 3B. Also, the union shape represented by the union set of the shapes A, B, and C is The shape of the outline of the shape where all the Cs overlap is the sum shape 32 as shown in FIG. 3B.
[0038] The specific shape of the metal foil 16 is a shape that includes the multilayer shape 30, and the outer periphery is one of the following: an outer periphery that is outside the outer periphery of the multilayer shape 30 and inside the outer periphery of the sum shape 32; the outer periphery of the multilayer shape 30 itself; and the outer periphery of the sum shape 32 itself. In other words, the specific shape of the metal foil 16 is a shape that has an outer periphery in the region 34 from the outer periphery of the multilayer shape 30 to the outer periphery of the sum shape 32. This makes the specific shape of the metal foil 16 a shape that satisfies the transmission attenuation condition.
[0039] The shape of the resin 14 and the specific shape of the metal foil 16 are represented by a set of cells when the wavelength selection unit 12 is divided into a plurality of cells. For example, as shown in Fig. 4, the wavelength selection unit 12 is divided into a total of 900 cells 36, 30 cells vertically and 30 cells horizontally, and the attribute of each cell 36 is set to resin or metal foil. If the length of one side of the wavelength selection unit 12 is 1.44 mm, the length of one side of one cell is 0.048 mm (= 1.44 / 30).
[0040] In the example of Fig. 4, the hatched cells 36A inside the wavelength selection unit 12 are cells that make up a stacked shape and are cells of the metal foil 16. Furthermore, the white cells 36B outside the stacked shape are summed shapes and are cells of the metal foil 16. Furthermore, the hatched cells 36C outside the summed shapes are cells of the resin 14. Note that in the example of Fig. 4, the cells present on the four outer periphery sides of the wavelength selection unit 12 are cells with a side length of 1 / 2.
[0041] In this embodiment, the specific shape of the metal foil 16 is calculated using machine learning, but the candidate shape parameters 24 may be calculated using a method other than machine learning.
[0042] Next, a method for calculating the electromagnetic characteristics of the wavelength selecting member 10 by electromagnetic field analysis 20 will be described.
[0043] In this embodiment, the electromagnetic characteristics of the wavelength selecting member 10 are calculated using simulation software for an electromagnetic field analysis method using, for example, the finite element method as the electromagnetic field analysis 20. Examples of such simulation software include, but are not limited to, COMSOL Multiphysics.
[0044] To construct a calculation model for calculating the electromagnetic properties of the wavelength selective member 10, the RF module in the application library of COMSOL Multiphysics is used.
[0045] The construction of the calculation model will be explained below.
[0046] (1) Geometry
[0047] The calculation model is constructed using the RF module. Fig. 5 shows an example of a calculation model 40 constructed using the RF module. As shown in Fig. 5, the calculation model 40 includes an air layer 42, a resin 14, a metal foil 16, an input port 48, and an output port 50.
[0048] The air layer 42 and the resin 14 are composed of block elements, and the metal foil 16 is composed of shell elements. The specific shape of the metal foil 16 is depicted by inputting the coordinates of each cell. The air layer 42 and the resin 14 have the same length in the width direction (x-axis direction) and the same length in the depth direction (y-axis direction).
[0049] (2) Material
[0050] The values of relative permittivity, relative permeability, and conductivity are applied as physical property values to each of the air layer 42, the resin 14, and the metal foil 16. In addition, the value of the dielectric loss tangent is also applied to the resin 14.
[0051] (3) Boundary conditions
[0052] Scattering boundary conditions are applied to the top surface 54 and bottom surface 56 of the calculation model 40 shown in Fig. 5. In addition, a plane wave having a magnetic field component in the y-axis direction and an electric field component in the x-axis direction is set to be incident perpendicularly from the input port 48 toward the wavelength selection unit 12. The frequency of the plane wave is set to be equal to or higher than 60 GHz and equal to or lower than 100 GHz, and the input power is set to 1 W.
[0053] Then, the transmission characteristics at the output port 50 are calculated, and the reflection characteristics at the input port 48 are calculated. A periodic boundary condition is applied to the side surface 52 of the calculation model 40. A transition boundary condition is applied to the metal foil 16.
[0054] (4) Mesh
[0055] Mesh conditions for subdividing the calculation model 40 are set. For the resin 14, the maximum element size is set to 0.2 mm, the minimum element size to 0.036 mm, the maximum element growth rate to 2, the curvature factor to 1, and the narrow area resolution to 0.1. Of the air layers 42, the element sizes of the air layer 42 arranged directly above the resin 14 are set to the maximum element size to 0.2 mm, the minimum element size to 0.036 mm, the maximum element growth rate to 1.5, the curvature factor to 0.6, and the narrow area resolution to 0.5. For the other air layers 42, the maximum element size is set to 1 mm, the minimum element size to 0.14 mm, the maximum element growth rate to 2, the curvature factor to 1, and the narrow area resolution to 0.1.
[0056] For the metal foil 16, the maximum element size is set to 3.75 μm, the minimum element size is set to 0.4 μm, the maximum element growth rate is set to 1.3, the curvature factor is set to 0.2, and the narrow area resolution is set to 1.
[0057] An electromagnetic field analysis is performed under the above conditions to calculate the transmission characteristics of the wavelength selective member 10.
[0058] Next, a method for adjusting the relative dielectric constant and thickness of the resin 14 to obtain desired electromagnetic characteristics will be described.
[0059] As described above, the range of the relative dielectric constant of the resin 14 is not less than 2 and not more than 5. The range of the thickness of the resin 14 is not less than 0.5 μm and not more than 100 μm.
[0060] The wavelength selection unit 12 functions as a so-called LC resonant circuit, and the resonant frequency f can be calculated by the following equation (1).
[0061] JPEG0007765723000001.jpg1736 ···(1)
[0062] Here, L represents inductance and C represents capacitance. When the metal foil 16 is regarded as a coil, L is proportional to the cross-sectional area and relative permeability of the coil, and inversely proportional to the length of the coil. When the gap portion GP of the metal foil 16 is regarded as a capacitor as shown in FIG. 1B, C varies depending on the average width of the gap portion GP, the area of the capacitor, and the dielectric constant of the resin 14.
[0063] The wavelength selecting member 10 exhibits significantly reduced transmission characteristics when an electromagnetic wave of a resonant frequency f is incident thereon. In order to make the wavelength selecting member 10 exhibit desired transmission characteristics for electromagnetic waves of a desired frequency, it is necessary to adjust the capacitance C of the resin 14. Here, when the wavelength selecting member 10 is regarded as a circuit, the capacitance C can be calculated by the following equation (2).
[0064] JPEG0007765723000002.jpg1947 ···(2)
[0065] where ε0 is the dielectric constant of a vacuum. ris the relative dielectric constant of the resin 14. Furthermore, S is the area of the capacitor when the metal foil 16 is regarded as a capacitor, and d is the distance between the conductors that make up the capacitor.
[0066] Figure 6 shows the relative dielectric constant ε of resin 14. r 6 shows the transmission characteristics when the frequency of the electromagnetic wave irradiated to the wavelength selecting member 10 is 2.0, 2.5, 3.0, 3.5, 4.0, 4.5, and 5.0. The horizontal axis of Fig. 6 shows the frequency of the electromagnetic wave irradiated to the wavelength selecting member 10, and the vertical axis shows the S21-parameter as the transmission characteristic. In other words, the S21-parameter represents the ratio of the intensity of the electromagnetic wave received at the output port 50 to the intensity of the electromagnetic wave input to the input port 48 and irradiated to the wavelength selecting member 10, that is, the transmission characteristic indicating how much of the electromagnetic wave irradiated to the wavelength selecting member 10 is transmitted.
[0067] 7 shows the S21-parameter when the thickness of the resin 14 is 5 μm, 25 μm, 50 μm, 75 μm, 100 μm, 125 μm, and 150 μm. The horizontal and vertical axes in FIG. 7 are the same as those in FIG.
[0068] 6 and 7, it can be seen that the peak position of the S21-parameter can be controlled by adjusting the relative dielectric constant and thickness of resin 14. More specifically, as shown in Fig. 6, as the relative dielectric constant of resin 14 increases, the peak position shifts to the lower frequency side, and as the relative dielectric constant of resin 14 decreases, the peak position shifts to the higher frequency side.
[0069] Furthermore, as shown in FIG. 7, as the thickness of resin 14 decreases, the peak position shifts to the higher frequency side, and as the thickness of resin 14 increases, the peak position shifts to the lower frequency side.
[0070] Thus, the peak position depends on the relative dielectric constant and thickness of resin 14. For this reason, there are no limitations on the type of resin 14 as long as it can be thermally cured after being molded or applied into a film. Examples of types of resin 14 include glass epoxy resin, glass fiber mixed polyimide resin, glass fiber (40%) mixed PPS resin, polyacetal resin, polymethyl methacrylate (PMMA) resin, polyamide (PA) resin, urea resin, aniline resin, acrylonitrile resin, glass-silicon laminate, silicone resin, polymethyl acrylate resin, polyimide resin, fluororesin, and epoxy resin.
[0071] Next, the type of metal used in the metal foil 16 will be described.
[0072] The metal foil 16 is made of a metal that can be processed into a foil. Here, "foil-like" means that the thickness is, for example, 0.2 mm or less. As mentioned above, the conductivity of the metal foil 16 is, for example, 1.1 × 10 7 S / m or more and 6.3 x 10 7 S / m or less, and more preferably 4.3×10 7 S / m or more and 6.3 x 10 7 The metal foil 16 having such a thickness and conductivity is not more than S / m. Examples of the metal foil 16 that can be used include silver and copper, but are not limited to these.
[0073] 8A shows the results of calculating the S21-parameter when the type of metal foil 16 is aluminum and copper, while the shape of the metal foil 16, the relative permittivity of the resin 14, the thickness of the resin 14, and the size of the wavelength-selecting unit 12 are the same. Also, FIG. 8B shows the results of calculating the S21-parameter when the type of metal foil 16 is iron and silver, while the shape of the metal foil 16, the relative permittivity of the resin 14, the thickness of the resin 14, and the size of the wavelength-selecting unit 12 are the same. As shown in FIGS. 8A and 8B, the frequency at which the S21-parameter takes a minimum value, i.e., the peak position, does not change depending on the type of metal, but it can be seen that metals with lower conductivity have smaller S21-parameters.
[0074] As described above, the length of one side of the wavelength-selective unit 12 is 1.44 mm or more and 1.98 mm or less. When the shape of the metal foil 16 is the same, the shorter the length of one side of the wavelength-selective unit 12, the more the peak position of the S21-parameter shifts to the high-frequency side.
[0075] 9 shows the S21-parameter when the metal foil 16 has the same shape and the wavelength-selective unit 12 has a side length of 1.44 mm, 1.50 mm, 1.56 mm, 1.62 mm, 1.68 mm, 1.74 mm, 1.80 mm, 1.86 mm, 1.92 mm, and 1.98 mm. As shown in Fig. 9, the shorter the side length of the wavelength-selective unit 12, the more the peak position of the S21-parameter shifts to the high-frequency side, and the longer the side length of the wavelength-selective unit 12, the more the peak position of the S21-parameter shifts to the low-frequency side.
[0076] FIG. 10 shows an example of a range of shapes of the metal foil 16 that satisfy the first to fourth conditions and have a transmission characteristic of −40 dB or less for electromagnetic waves with frequencies between 72 GHz and 81 GHz. As shown in FIG. 10, the range of shapes of the metal foil 16 that satisfy the first to fourth conditions and also satisfy the transmission attenuation condition is a range of shapes that have an outer boundary outside the outer boundary of the first shape 60 and inside the outer boundary of the second shape 62. The first shape 60 is a shape that includes an intersection shape represented by the intersection set of multiple shapes that satisfy the first to fourth conditions and also satisfy the transmission attenuation condition, and has an outer boundary that is located outside the outer boundary of the intersection shape or a shape whose outer boundary is the outer boundary of the intersection shape itself. Furthermore, the second shape 62 is a shape that satisfies the first to fourth conditions and also has an outer boundary that is located inside the outer boundary of a union shape represented by the union of multiple shapes that satisfy the transmission attenuation condition or a shape whose outer boundary is the union shape itself.
[0077] 10, the wavelength selection unit 12 is divided into 31 × 31 square cells, and the cell numbers are assigned as 1, 2, 3, ..., 31 from the left cell in the first row, 32, 33, 34, ..., 62, ... from the left cell in the second row, and 931, 932, ..., 961 from the left cell in the 31st row. The same applies to FIGS. 11 to 15.
[0078] In this case, the first shape 60 shown in FIG. 10 is a shape made up of cells with the following cell numbers: 257, 287, 318, 319, 336-338, 349, 366-369, 380, 396, 397, 411, 427-429, 442-445, 458, 75, 476, 479, 481, 486-488, 506-511, 517-519, 537-542, 548, 54 9, 563-566, 569-574, 578-580, 594-597, 600-605, 610, 625, 627, 628, 630-636, 640, 641, 660-667, 671, 672, 691-704, 722-736, 754-756, 758, 764-769
[0079] Moreover, the second shape 62 shown in FIG. 10 is a shape made up of cells with the following cell numbers. 105, 106, 133-138, 163-170, 192-202, 207, 213, 214, 222-233, 238-245, 253-265, 269-276, 283-296, 299-307, 314-327, 330-338, 344-359, 362-369, 375 -390, 393-400, 405-431, 436-462, 467-493, 498-524, 529-555, 560-586, 591-617, 622-648, 653-679, 684-710, 716-741, 750-772, 782-802, 814-832, 852
[0080] 10, it has been found that the lower half of the wavelength selection unit 12 (the region where the gap portion GP shown in FIG. 1B does not exist) has less effect on the transmission characteristics than the upper half of the wavelength selection unit 12 (the region where the gap portion GP shown in FIG. 1B exists). For this reason, as shown in FIG. 11, the lower half of the first shape 60 may be omitted, and the lower half of the second shape 62 may have a simplified shape.
[0081] The first shape 60 shown in FIG. 11 is a shape made up of cells with the following cell numbers: 257, 287, 318, 319, 336-338, 349, 366-369, 380, 396, 397, 411, 427-429, 442-445, 458
[0082] The second shape 62 shown in FIG. 11 is a shape made up of cells with the following cell numbers: 105, 106, 133-138, 163-170, 192-202, 207, 213, 214, 222-233, 238-245, 253-265, 269-276, 283-296, 299-307, 314-327, 330-338, 344-359, 362-369, 375-390, 3 93-400, 405-431, 436-462, 467-493, 498-524, 529-555, 560-586, 591-617, 622-648, 653-679, 684-710, 715-741, 746-772, 778-803, 808-834, 839-865, 870-896
[0083] FIG. 12 shows another example of the range of shapes of the metal foil 16 that satisfies the first to fourth conditions and has a transmission characteristic of −40 dB or less for electromagnetic waves with frequencies of 72 GHz or higher and 81 GHz or lower.
[0084] The first shape 60 shown in FIG. 12 is a shape made up of cells with the following cell numbers: 197, 198, 227-229, 257-260, 274-276, 286-291, 304-307, 318-322, 335-338, 349-352, 366-369, 379-383, 396, 397, 411-414, 427-429, 442-445, 458, 459, 473-476, 479-481 , 486-489, 504-512, 516-520, 535-543, 547-550, 561-574, 578-580, 592-597, 599-605, 610, 623-625, 627, 628, 630-641, 660-672, 691-704, 722-736, 753-756, 758, 762-769
[0085] The second shape 62 shown in FIG. 12 is a shape made up of cells with the following cell numbers: 134-138, 165-170, 192-201, 222-232, 243, 245, 253-263, 269-276, 283-294, 299-307, 314-326, 330-338, 344-358, 362-369, 375-389, 393-400, 405 -431, 436-462, 467-493, 498-524, 529-555, 560-586, 591-614, 616, 617, 622-646, 648, 653-677, 684-709, 718-740, 750-771, 782-802, 816-830, 832
[0086] FIG. 13 shows the first shape 60 of FIG. 12 with the lower half thereof omitted.
[0087] The first shape 60 shown in FIG. 13 is a shape made up of cells with the following cell numbers: 197, 198, 227-229, 257-260, 274-276, 286-291, 304-307, 318-322, 335-338, 349-352, 366-369, 379-383, 396, 397, 411-414, 427-429, 442-445, 458, 459
[0088] The second shape 62 shown in FIG. 13 is a shape made up of cells with the following cell numbers: 134-138, 165-170, 192-201, 222-232, 243, 245, 253-263, 269-276, 283-294, 299-307, 314-326, 330-338, 344-358, 362-369, 375-389, 393-400, 405 -431, 436-462, 467-493, 498-524, 529-555, 560-586, 591-617, 622-648, 653-679, 684-710, 715-741, 746-772, 777-803, 808-834, 839-865, 870-896
[0089] FIG. 14 shows an example of the range of shapes of the metal foil 16 that satisfies the first to fourth conditions and has a transmission characteristic of −40 dB or less for electromagnetic waves with a frequency of 76.5 GHz.
[0090] The first shape 60 shown in FIG. 14 is a shape made up of cells with the following cell numbers: 196-199, 226-230, 255-261, 274-276, 286-292, 303-307, 317-323, 334-338, 348-355, 364-369, 379-387, 395-399, 410-418, 426-430, 441-450, 456-460, 472-482, 486-489, 503-514, 516-520 530-544, 547-550, 561-574, 578-580, 592-605, 610, 623-641, 659-672, 690-704, 721-737, 752-769
[0091] The second shape 62 shown in FIG. 14 is a shape made up of cells with the following cell numbers: 136, 137, 165-170, 195-201, 223-232, 253-263, 270-276, 284-294, 300-307, 315-326, 331-338, 345-358, 362-369, 376-389, 393-400, 407-421, 424-431, 437-462, 468-493, 499-524, 529-555, 560-582, 584-586, 591-613, 617, 622-646, 648, 653-677, 685-708, 719-739, 751-770, 782-801 15 shows a shape in which the lower half of the first shape 60 in FIG. 14 is omitted and the lower half of the second shape 62 is simplified.
[0092] The first shape 60 shown in FIG. 15 is a shape made up of cells with the following cell numbers: 196-199, 226-230, 255-261, 274-276, 286-292, 303-307, 317-323, 334-338, 348-355, 364-369, 379-387, 395-399, 410-418, 426-430, 441-450, 456-460
[0093] The second shape 62 shown in FIG. 15 is a shape made up of cells with the following cell numbers: 136, 137, 165-170, 195-201, 223-232, 253-263, 270-276, 284-294, 300-307, 315-326, 331-338, 345-358, 362-369, 376-389, 393-400, 407-421, 424 -431, 437-462, 468-493, 499-524, 529-555, 560-586, 591-617, 622-648, 653-679, 684-710, 715-741, 746-772, 777-803, 808-834, 839-865, 870-896
[0094] Furthermore, if the transmission characteristics for electromagnetic waves with a frequency of 76.5 GHz are greater than −40 dB while satisfying the first to fourth conditions described above, it is desirable to adjust the shape of the metal foil 16 to one of the shapes shown in Figures 16 to 25 according to the length of one side of the wavelength selection unit 12.
[0095] FIG. 16 shows an example of the range of shapes of the metal foil 16 that satisfies the first to fourth conditions described above and has a transmission characteristic of −40 dB or less for electromagnetic waves with a frequency of 76.5 GHz when the length of one side of the wavelength selection unit 12 is 1.44 mm.
[0096] FIG. 17 shows an example of the range of shapes of the metal foil 16 that satisfies the first to fourth conditions described above and has a transmission characteristic of −40 dB or less for electromagnetic waves with a frequency of 76.5 GHz when the length of one side of the wavelength selection unit 12 is 1.50 mm.
[0097] FIG. 18 shows an example of the range of shapes of the metal foil 16 that satisfies the first to fourth conditions described above and has a transmission characteristic of −40 dB or less for electromagnetic waves with a frequency of 76.5 GHz when the length of one side of the wavelength selection unit 12 is 1.56 mm.
[0098] FIG. 19 shows an example of the range of shapes of the metal foil 16 that satisfies the first to fourth conditions described above and has a transmission characteristic of −40 dB or less for electromagnetic waves with a frequency of 76.5 GHz when the length of one side of the wavelength selection unit 12 is 1.62 mm.
[0099] FIG. 20 shows an example of the range of shapes of the metal foil 16 that satisfies the first to fourth conditions described above and has a transmission characteristic of −40 dB or less for electromagnetic waves with a frequency of 76.5 GHz when the length of one side of the wavelength selection unit 12 is 1.68 mm.
[0100] FIG. 21 shows an example of the range of shapes of the metal foil 16 that satisfies the first to fourth conditions described above and has a transmission characteristic of −40 dB or less for electromagnetic waves with a frequency of 76.5 GHz when the length of one side of the wavelength selection unit 12 is 1.74 mm.
[0101] FIG. 22 shows an example of the range of shapes of the metal foil 16 that satisfies the first to fourth conditions described above and has a transmission characteristic of −40 dB or less for electromagnetic waves with a frequency of 76.5 GHz when the length of one side of the wavelength selection unit 12 is 1.80 mm.
[0102] FIG. 23 shows an example of the range of shapes of the metal foil 16 that satisfies the first to fourth conditions described above and has a transmission characteristic of −40 dB or less for electromagnetic waves with a frequency of 76.5 GHz when the length of one side of the wavelength selection unit 12 is 1.86 mm.
[0103] Figure 24 shows an example of the range of shapes of the metal foil 16 that satisfies the first to fourth conditions described above and has a transmission characteristic of -40 dB or less for electromagnetic waves with a frequency of 76.5 GHz when the length of one side of the wavelength selection unit 12 is 1.92 mm.
[0104] Figure 25 shows an example of the range of shapes of the metal foil 16 that satisfies the first to fourth conditions described above and has a transmission characteristic of -40 dB or less for electromagnetic waves with a frequency of 76.5 GHz when the length of one side of the wavelength selection unit 12 is 1.98 mm.
[0105] Next, examples of the shape of the metal foil 16 will be shown.
[0106] Fig. 26 shows an example of the wavelength selection unit 12. The wavelength selection unit 12 shown in Fig. 26 is a square with sides of 1.62 mm. The metal foil 16 has a shape that satisfies the range of the shape of the metal foil 16 shown in Fig. 19. The thickness of the metal foil 16 is 12 µm, and the thickness of the resin 14 is 25 µm.
[0107] Fig. 27 shows the S21-parameter of the wavelength-selective member 10 in which 21 x 21 or more wavelength-selective units 12 shown in Fig. 26 are arranged vertically and horizontally. As shown in Fig. 27, it can be seen that the transmission characteristic is -40 dB or less at a frequency around 76.5 GHz.
[0108] Fig. 28 shows an example of the wavelength selection unit 12. The wavelength selection unit 12 shown in Fig. 28 is a square with one side measuring 1.62 mm. The metal foil 16 has a shape that satisfies the range of the shape of the metal foil 16 shown in Fig. 19. The thickness of the metal foil 16 is 12 µm, and the thickness of the resin 14 is 25 µm.
[0109] Fig. 29 shows the S21-parameter of the wavelength-selective member 10 in which 21 x 21 or more wavelength-selective units 12 shown in Fig. 28 are arranged vertically and horizontally. As shown in Fig. 29, it can be seen that the transmission characteristic is -40 dB or less at a frequency around 76.5 GHz.
[0110] Fig. 30 shows an example of the wavelength selection unit 12. The wavelength selection unit 12 shown in Fig. 30 is a square with one side measuring 1.56 mm. The thickness of the metal foil 16 is 12 µm, and the thickness of the resin 14 is 100 µm.
[0111] Fig. 31 shows the S21-parameter of the wavelength-selective member 10 in which 21 x 21 or more wavelength-selective units 12 shown in Fig. 30 are arranged vertically and horizontally. As shown in Fig. 31, it can be seen that the transmission characteristic is -40 dB or less at a frequency around 76.5 GHz.
[0112] Fig. 32 shows an example of the wavelength selection unit 12. The wavelength selection unit 12 shown in Fig. 32 is a square with one side measuring 1.56 mm. The thickness of the metal foil 16 is 12 µm, and the thickness of the resin 14 is 100 µm.
[0113] Fig. 33 shows the S21-parameter of the wavelength-selective member 10 in which 21 x 21 or more wavelength-selective units 12 shown in Fig. 32 are arranged vertically and horizontally. As shown in Fig. 32, it can be seen that the transmission characteristic is -40 dB or less at a frequency around 76.5 GHz.
[0114] Fig. 34 shows an example of a wavelength-selecting unit 12 having a commonly known SRR (split ring) structure. The wavelength-selecting unit 12 shown in Fig. 34 is a square with each side measuring 0.9 mm. The thickness of the metal foil 16 is 12 µm, and the thickness of the resin 14 is 25 µm.
[0115] Fig. 35 shows the S21-parameter of the wavelength-selective member 10 in which 21 x 21 or more wavelength-selective units 12 shown in Fig. 34 are arranged vertically and horizontally. As shown in Fig. 35, it can be seen that the transmission intensity is greater than -40 dB at a frequency around 76.5 GHz.
[0116] Fig. 36 shows an example of the wavelength selection unit 12. The wavelength selection unit 12 shown in Fig. 36 is a square with one side measuring 1.92 mm. The thickness of the metal foil 16 is 12 µm, and the thickness of the resin 14 is 25 µm.
[0117] Fig. 37 shows the S21-parameter of the wavelength-selective member 10 in which 21 x 21 or more wavelength-selective units 12 shown in Fig. 36 are arranged vertically and horizontally. As shown in Fig. 37, it can be seen that the transmission intensity is greater than -40 dB at a frequency around 76.5 GHz.
[0118] As described above, even if the first to fourth conditions are satisfied, the shape of the metal foil 16 includes the multilayer shape 60, and the contour of the shape of the metal foil 16 is any one of the contours that are outside the multilayer shape 60 and inside the sum shape 62, the contour of the multilayer shape 60 itself, and the contour of the sum shape 62 itself, the transmission characteristic may not be −40 dB or less. In such cases, the shape of the metal foil 16 may be adjusted according to the length of one side of the wavelength selection unit 12.
[0119] Fig. 38 shows an example of the wavelength-selective unit 12 after adjusting the shape of the metal foil 16 so that the transmission characteristic is -40 dB or less. Fig. 39 shows the S21-parameter of the wavelength-selective member 10 in which the wavelength-selective units 12 are arranged in a 3 × 3 or more array. As shown in Fig. 39, it can be seen that the transmission characteristic is -40 dB or less at a frequency around 76.5 GHz.
[0120] As described above, the RF module in the application library of COMSOL Multiphysics was used for the electromagnetic field analysis. Below, a more specific procedure for the electromagnetic field analysis used in this embodiment will be described.
[0121] I. Module Selection
[0122] 1. After launching COMSOL Multiphysics, select the RF module in the Application Library.
[0123] 2. Select "frequency_selective_surface_csrr" in the RF module and open it.
[0124] II. Geometry
[0125] 1. Click Component1 (comp1) in the Model Builder window, then right-click each of the initial items (Block, Work Plane, etc.) in the Geometry1 tab and select Delete. Then right-click Geometry1 and add three new block elements (call them Block1, 2, and 3).
[0126] 2. Click Block1 in Geometry1, then enter the size and coordinates of the block element in the settings window. In the "Size and Shape" tab, enter values for the width and depth that are approximately the same as the length and width of the square unit, and enter 1 mm for the height. Next, in the "Position" tab, select the center as the base term, and enter 0 for all x, y, and z coordinates.
[0127] 3. Click Block2 in Geometry1, then enter the size and coordinates of the block element in the settings window. In the "Size and Shape" tab, enter values for the width and depth that are approximately the same as the length and width of the square unit, and enter 2 mm for the height. Next, in the "Position" tab, select the center as the base term, and enter 0 for all x, y, and z coordinates.
[0128] 4. Click Block3 in Geometry1, then enter the size and coordinates of the block element in the settings window. In the "Size and Shape" tab, enter values for width and depth that are the same as the length and width of the approximately square unit, and for height, enter a value that is the same as the thickness (= d) of resin 14. Next, in the "Position" tab, select the center as the base term, enter 0 for the x and y coordinates, and enter a value that is -d / 2 for the z coordinate.
[0129] 5. Right-click Geometry1 in the Model Builder window and create a new Work Add a Plane.
[0130] 6. Right-click Plane Geometry in the Work Plane tab and select and add "Square", "Rectangle", "Boolean and Split", etc. to create the shape of metal foil 16. Click "Boolean and Split" and when performing Boolean operations, uncheck the "Preserve internal boundaries" item in the settings window.
[0131] III. Material
[0132] 1. Click the Material tab in Component1 (comp1), right-click the initially entered "Dielectric" item, and select Delete (leave the "Air" item as is). Then, right-click the Material tab and add two blank materials (rename them "Resin" and "Metal" respectively).
[0133] 2. Click the "Air" item in the material tab and select the domain corresponding to the air layer 42 in the geometry selection in the setting window.
[0134] 3. Click the "Resin" item in the Material tab, and select the domain corresponding to resin 14 in the Geometry Selection in the Settings window.
[0135] 4. Click Basic in the "Resin" tab and add the relative permittivity, relative permeability, and conductivity to the output characteristics in the setting window. Then, enter the relative permittivity of the resin 14 in the wavelength selection unit 12 as the relative permittivity. Enter 1 for the relative permeability and 0 S / m for the conductivity.
[0136] 5. Click on the "Metal" item in the Material tab, and select the boundary corresponding to the metal foil 16 in the Geometry Selection in the Settings window.
[0137] 6. Click Basic in the "Metal" tab and add the relative permittivity, relative permeability, and conductivity to the output characteristics in the setting window. Then, enter the conductivity of the metal foil 16 of the wavelength selection unit 12 in the conductivity field. Enter 1 for the relative permittivity and relative permeability field.
[0138] IV.Electromagnetic Waves,Frequency Domain (emw)
[0139] 1. Click the Electromagnetic Waves, Frequency Domain (emw) tab in Component 1 (comp1) and select Wave Equation, Electric 1. In the domain selection in the settings window, select all domains.
[0140] 2. Click Initial Values1 in the Electromagnetic Waves, Frequency Domain (emw) tab, and select all domains in the domain selection in the settings window.
[0141] 3. Click Periodic Condition 1 in the Electromagnetic Waves, Frequency Domain (emw) tab, and in the boundary selection in the setting window, select all boundaries parallel to the yz plane among the boundaries of the air layer 42 and the resin 14. Select Floquet periodicity as the periodic type.
[0142] 4. Click Periodic Condition 2 in the Electromagnetic Waves, Frequency Domain (emw) tab, and in the boundary selection in the setting window, select all boundaries of the air layer 42 and the resin 14 that are parallel to the zx plane. Select Floquet periodicity as the periodic type.
[0143] 5. Click Port 1 in the Electromagnetic Waves, Frequency Domain (emw) tab, and in the boundary selection in the settings window, select the boundary corresponding to input port 48. Click the Port Characteristics tab in the settings window, set the port type to Periodic, Wave Excitation to On, the port input power to 1 W, and check "Enable slits at internal boundaries." Click the Port Mode Settings tab, set the input quantity to Magnetic Field, and enter the magnetic mode amplitude as x=0, y=1, z=0.
[0144] 6. Click Port 2 in the Electromagnetic Waves, Frequency Domain (emw) tab, and in the boundary selection in the settings window, select the boundary corresponding to output port 50. Click the Port Characteristics tab in the settings window, set the port type to Periodic, set Wave Excitation to Off, and check "Enable slits at internal boundaries." Click the Port Mode Settings tab, set the input quantity to Magnetic Field, and enter the magnetic mode amplitude as x=0, y=1, z=0.
[0145] 7. Right-click Electromagnetic Waves, Frequency Domain (emw) and add a scattering boundary condition to the tab. Then click Scattering Boundary Condition and select the top and bottom boundaries of the model in the boundary selection in the setting window.
[0146] V.Mesh
[0147] 1. Click Mesh1 in Component1 (comp1) and select User-controlled mesh for the sequence type in the Settings window. Then, right-click Identical Mesh1, Identical Mesh2, and Free Tetrahedral1 in the Mesh1 tab and delete them.
[0148] 2. Click Size in the Mesh1 tab, and in the Settings window, set the maximum element size to 1 mm, the minimum element size to 0.14 mm, the maximum element growth rate to 2, the curvature factor to 1, and the confined area resolution to 0.1.
[0149] 3. Click Size1 in the Mesh1 tab, and in the Geometry Selection in the Settings window, select the domain corresponding to Resin 14. Then, in the Element Size section, set the maximum element size to 0.2 mm, the minimum element size to 0.036 mm, the maximum element growth rate to 1.5, the curvature factor to 0.6, and the narrow area resolution to 0.5.
[0150] 4. Click Size2 in the Mesh1 tab, and in the geometry selection in the settings window, select all of the boundaries that correspond to the outer walls of the air layer 42 that is above the input port 48 and below the resin 14. Then, in the element size section, set the maximum element size to 1 mm, the minimum element size to 0.14 mm, the maximum element growth rate to 2, the curvature factor to 1, and the narrow area resolution to 0.1.
[0151] 5. Click Size3 in the Mesh1 tab, and in the geometry selection in the settings window, select all boundaries that correspond to the outer walls of the air layer 42 placed directly above the resin 14. Then, in the element size section, set the maximum element size to 0.2 mm, the minimum element size to 0.036 mm, the maximum element growth rate to 1.5, the curvature factor to 0.6, and the narrow area resolution to 0.5.
[0152] 6. Click Size4 in the Mesh1 tab, and in the Geometry Selection section of the Settings window, select the boundaries corresponding to input port 48 and output port 50. Then, in the Element Size section, set the maximum element size to 0.2 mm, the minimum element size to 0.036 mm, the maximum element growth rate to 1.5, the curvature factor to 0.6, and the narrow area resolution to 0.5.
[0153] 7. Right-click on the Mesh1 item in Component1 (comp1) and add Size5. Click on the Size5 added in the Mesh1 tab, and in the Geometry Selection section of the Settings window, select all of the edges that correspond to the outer periphery of the metal foil 16. Then, in the Element Size section, set the maximum element size to 3.75 μm, the minimum element size to 0.4 μm, the maximum element growth rate to 1.3, the curvature factor to 0.2, and the narrow area resolution to 1.
[0154] 8. Right-click on the Mesh1 item in Component1 (comp1) and select "Distribution" to add it. Click on the "Distribution" added to the Mesh1 tab, and in the geometry selection in the settings window, select all domain edges perpendicular to the xy plane, excluding resin 14 and the air layer located directly above resin 14. Then, select Default as the distribution type, enter 8 divisions, an element ratio of 1, and select Linear as the growth rate.
[0155] 9. Right-click on Mesh1 in Component1 (comp1) and select and add "Free Mesh Triangle". Click on the "Free Mesh Triangle 1" added in the Mesh1 tab, and in the boundary selection in the settings window, select one of the outer walls parallel to the yz plane for each of Resin 14 and the air layer directly above Resin 14.
[0156] 10. Right-click on Mesh1 in Component1 (comp1), select and add "Mapped". Click on "Mapped 1" added to the Mesh1 tab, and in the boundary selection in the settings window, select one of the outer walls parallel to the yz plane for each air layer other than the one directly above Resin 14.
[0157] 11. Right-click on the Mesh1 item in Component1 (comp1), select "Copy" and add. Click on "Copy 1" added in the Mesh1 tab, and in the source entity settings window, select the resin 14 selected in step 9 above and the outer wall of the air layer directly above resin 14. Next, in the destination entity, select the outer wall of resin 14 parallel to the yz plane and the outer wall of the air layer directly above resin 14 that was not selected in step 9 above.
[0158] 12. Right-click on the Mesh1 item in Component1 (comp1), select "Copy" and add. Click on "Copy 2" added in the Mesh1 tab, and in the source entity of the settings window, select the outer wall of the air layer other than the one directly above the resin 14 selected in step 10 above. Next, in the destination entity, select the outer wall of the air layer other than the one directly above the resin 14 that is parallel to the yz plane and that was not selected in step 10 above.
[0159] 13. Right-click on Mesh1 in Component1 (comp1) and select and add "Free Mesh Triangle". Click on "Free Mesh Triangle 2" added in the Mesh1 tab, and in the boundary selection in the settings window, select one of the outer walls parallel to the zx plane for each of Resin 14 and the air layer directly above Resin 14.
[0160] 14. Right-click on Mesh1 in Component1 (comp1), select and add "Mapped". Click on "Mapped 2" added in the Mesh1 tab, and in the boundary selection in the settings window, select one of the outer walls parallel to the zx plane for each air layer other than the one directly above Resin 14.
[0161] 15. Right-click on Mesh1 in Component1 (comp1), select "Copy" and add. Click on "Copy 3" added in the Mesh1 tab, and in the source entity settings window, select Resin 14 selected in step 13 above and the outer wall of the air layer directly above Resin 14. Next, in the destination entity, select the outer wall of Resin 14 and the outer wall of the air layer directly above Resin 14 that is parallel to the zx plane and that was not selected in step 13 above.
[0162] 16. Right-click on Mesh1 in Component1 (comp1), select "Copy" and add. Click on "Copy 4" added in the Mesh1 tab, and in the source entity of the settings window, select the outer wall of the air layer other than the one directly above resin 14 selected in step 14 above. Next, in the destination entity, select the outer wall of the air layer other than the one directly above resin 14 that is parallel to the zx plane and was not selected in step 14 above.
[0163] 17. Right-click on the Mesh1 item in Component1 (comp1) and select and add "Free Mesh Tetrahedron". Click on the "Free Mesh Tetrahedron 1" added to the Mesh1 tab, and in the settings window, select Resin 14, the air layer 42 directly above Resin 14, and the air layer directly below Resin 14 in the domain selection.
[0164] 18. Right-click on Mesh1 in Component1 (comp1) and select "Sweep". Click on "Sweep 1" added in the Mesh1 tab and select the air layers at the top and bottom of the model using domain selection.
[0165] 19. Right-click "Sweep 1" in the Mesh1 tab and select "Distribution" to add it. Click "Distribution 1" added to the "Sweep 1" tab, and select the air layers at the top and bottom of the model in the domain selection in the settings window. Next, set the distribution type to fixed number of elements and the number of divisions to 8 in the distribution section.
[0166] VI. Study
[0167] 1. Click the Study 1 tab in the Model Builder window, then click "Step 1: Frequency Domain" in the Study 1 tab. In the Settings window, enter GHz for the frequency unit and range (60 [GHz], 0.1 [GHz], 100 [GHz]) for the frequency term, then click "Calculate."
[0168] Although the present embodiment has been described above, the present disclosure is not limited to the above-described embodiments, and various modifications and applications are possible within the scope of the gist of the present disclosure.
[0169] The following notes are provided regarding the technology of the present disclosure.
[0170] <Additional Notes> (Appendix 1) A wavelength-selective member in which a plurality of square wavelength-selective units, each having a resin and a metal foil of a specific shape disposed on the resin, are arranged adjacent to each other, The thickness of the resin is 0.5 μm or more and 100 μm or less, The resin has a relative dielectric constant of 2 or more and 5 or less, The conductivity of the metal foil is 1.1×10 7 S / m or more and 6.3 x 10 7 S / m or less, The length of one side of the wavelength selection unit is 1.44 mm or more and 1.98 mm or less, The specific shape of the metal foil is a left-right asymmetric or a top-bottom asymmetric shape. Wavelength selective element. (Appendix 2) The specific shape of the metal foil is a shape that satisfies a transmission attenuation condition in which the transmission characteristic for electromagnetic waves having a frequency of 60 GHz or more and 90 GHz or less is −40 dB or less. 2. The wavelength-selective member of claim 1. (Appendix 3) The specific shape of the metal foil is a shape including an intersection shape represented by a product set of a plurality of shapes that satisfy the transmission attenuation condition, and the contour of the specific shape is any one of an outline that is outside the outline of the intersection shape and inside the outline of a union shape represented by the union set of the plurality of shapes, the outline of the intersection shape itself, and the outline of the union shape itself. 3. The wavelength-selective member of claim 2. (Appendix 4) The outer periphery of the specific shape of the metal foil is either an outer periphery that is outside the outer periphery of the first shape 60 and inside the outer periphery of the second shape 62 shown in FIG. 11, the outer periphery of the stacked shape itself, or the outer periphery of the sum shape itself. 4. The wavelength-selective member according to claim 2 or 3. (Appendix 5) The outer periphery of the specific shape of the metal foil is either an outer periphery that is outside the outer periphery of the first shape 60 and inside the outer periphery of the second shape 62 shown in FIG. 10, the outer periphery of the stacked shape itself, or the outer periphery of the sum shape itself. 5. The wavelength-selecting member according to any one of claims 2 to 4. (Appendix 6) The outer periphery of the specific shape of the metal foil is either an outer periphery that is outside the outer periphery of the first shape 60 and inside the outer periphery of the second shape 62 shown in FIG. 13, the outer periphery of the stacked shape itself, or the outer periphery of the sum shape itself. 4. The wavelength-selective member according to claim 2 or 3. (Appendix 7) The outer periphery of the specific shape of the metal foil is either an outer periphery that is outside the outer periphery of the first shape 60 and inside the outer periphery of the second shape 62 shown in FIG. 12, the outer periphery of the stacked shape itself, or the outer periphery of the sum shape itself. 10. The wavelength-selective member according to claim 2, 3, or 6. (Appendix 8) The outer periphery of the specific shape of the metal foil is either an outer periphery that is outside the outer periphery of the first shape 60 and inside the outer periphery of the second shape 62 shown in FIG. 15, the outer periphery of the stacked shape itself, or the outer periphery of the sum shape itself. 4. The wavelength-selective member according to claim 2 or 3. (Appendix 9) The outer periphery of the specific shape of the metal foil is either an outer periphery that is outside the outer periphery of the first shape 60 and inside the outer periphery of the second shape 62 shown in FIG. 14, the outer periphery of the stacked shape itself, or the outer periphery of the sum shape itself. 10. The wavelength-selective member according to claim 2, 3, or 8. (Appendix 10) The aspect ratio of the wavelength selection unit is 1:0.98 or more and 1:1.02 or less. 10. The wavelength-selecting member according to any one of claims 2 to 9. (Appendix 11) The specific shape of the metal foil is a shape that satisfies a transmission attenuation condition in which the transmission characteristic for electromagnetic waves having a frequency of 72 GHz or more and 81 GHz or less is −40 dB or less. 11. The wavelength-selecting member according to any one of claims 1 to 10. (Appendix 12) The specific shape of the metal foil is a shape that satisfies the transmission attenuation condition that the transmission characteristic for electromagnetic waves with a frequency of 76.5 GHz is −40 dB or less. 12. The wavelength-selective member of claim 11. (Appendix 13) A square-shaped wavelength-selective unit having a resin and a metal foil of a specific shape disposed on the resin, The thickness of the resin is 0.5 μm or more and 100 μm or less, The resin has a relative dielectric constant of 2 or more and 5 or less, The conductivity of the metal foil is 1.1×10 7 S / m or more and 6.3 x 10 7 S / m or less, The length of one side of the wavelength selection unit is 1.44 mm or more and 1.98 mm or less, The specific shape of the metal foil is a left-right asymmetric or a top-bottom asymmetric shape. Wavelength selection unit.
[0171] The disclosure of Japanese Patent Application No. 2024-035190 is incorporated herein by reference in its entirety. In addition, all documents, patent applications, and technical standards described herein are incorporated herein by reference to the same extent as if each individual document, patent application, and technical standard were specifically and individually indicated to be incorporated by reference.
Claims
1. A wavelength-selective member in which a plurality of square wavelength-selective units, each having a resin and a metal foil of a specific shape disposed on the resin, are arranged adjacent to each other, The thickness of the resin is 0.5 μm or more and 100 μm or less, The resin has a relative dielectric constant of 2 or more and 5 or less, The conductivity of the metal foil is 1.1×10 7 S / m or more and 6.3 × 10 7 S / m or less, the length of one side of the wavelength selection unit is 1.44 mm or more and 1.98 mm or less; The specific shape of the metal foil is a left-right asymmetric or a top-bottom asymmetric shape. Wavelength selective element.
2. The specific shape of the metal foil is a shape that satisfies a transmission attenuation condition in which the transmission characteristic for electromagnetic waves having a frequency of 60 GHz or more and 90 GHz or less is −40 dB or less. The wavelength-selective member according to claim 1 .
3. the specific shape of the metal foil is a shape including a product shape represented by a product set of a plurality of shapes that satisfy the transmission attenuation condition, The boundary of the specific shape is any one of a boundary that exists outside the boundary of the multi-shape and inside the boundary of a union shape represented by the union of the plurality of shapes, the boundary of the multi-shape itself, and the boundary of the union shape itself. The wavelength-selective member according to claim 2 .
4. The outer periphery of the specific shape of the metal foil is either an outer periphery that is outside the outer periphery of the first shape 60 and inside the outer periphery of the second shape 62 shown in FIG. 11, the outer periphery of the first shape 60 itself, or the outer periphery of the second shape 62 itself. The wavelength-selective member according to claim 2 .
5. The outer periphery of the specific shape of the metal foil is either an outer periphery that is outside the outer periphery of the first shape 60 and inside the outer periphery of the second shape 62 shown in FIG. 10, the outer periphery of the first shape 60 itself, or the outer periphery of the second shape 62 itself. The wavelength-selective member according to claim 2 .
6. The outer periphery of the specific shape of the metal foil is either an outer periphery that is outside the outer periphery of the first shape 60 and inside the outer periphery of the second shape 62 shown in FIG. 13, the outer periphery of the first shape 60 itself, or the outer periphery of the second shape 62 itself. The wavelength-selective member according to claim 2 .
7. The outer periphery of the specific shape of the metal foil is either an outer periphery that is outside the outer periphery of the first shape 60 and inside the outer periphery of the second shape 62 shown in FIG. 12, the outer periphery of the first shape 60 itself, or the outer periphery of the second shape 62 itself. The wavelength-selective member according to claim 2 .
8. The outer periphery of the specific shape of the metal foil is either an outer periphery that is outside the outer periphery of the first shape 60 and inside the outer periphery of the second shape 62 shown in FIG. 15, the outer periphery of the first shape 60 itself, or the outer periphery of the second shape 62 itself. The wavelength-selective member according to claim 2 .
9. The outer periphery of the specific shape of the metal foil is either an outer periphery that is outside the outer periphery of the first shape 60 and inside the outer periphery of the second shape 62 shown in FIG. 14, the outer periphery of the first shape 60 itself, or the outer periphery of the second shape 62 itself. The wavelength-selective member according to claim 2 .
10. The aspect ratio of the wavelength selection unit is 1:0.98 or more and 1:1.02 or less. The wavelength-selective member according to claim 2 .
11. The specific shape of the metal foil is a shape that satisfies a transmission attenuation condition in which the transmission characteristic for electromagnetic waves having a frequency of 72 GHz or more and 81 GHz or less is −40 dB or less. The wavelength-selective member according to any one of claims 1 to 10.
12. The specific shape of the metal foil is a shape that satisfies a transmission attenuation condition in which the transmission characteristic for electromagnetic waves with a frequency of 76.5 GHz is −40 dB or less. The wavelength-selective member according to claim 11.
13. A square-shaped wavelength-selective unit having a resin and a metal foil of a specific shape disposed on the resin, The thickness of the resin is 0.5 μm or more and 100 μm or less, The resin has a relative dielectric constant of 2 or more and 5 or less, The conductivity of the metal foil is 1.1 × 10 7 S / m or more and 6.3 × 10 7 S / m or less, the length of one side of the wavelength selection unit is 1.44 mm or more and 1.98 mm or less; The specific shape of the metal foil is a left-right asymmetric or a top-bottom asymmetric shape. Wavelength selection unit.
14. The outer periphery of the specific shape of the metal foil is either an outer periphery that is outside the outer periphery of a first shape and inside the outer periphery of a second shape, the outer periphery of the first shape itself, or the outer periphery of the second shape itself; When the wavelength selection unit is divided into 31 x 31 square cells, and the cell numbers are assigned as 1, 2, 3, ..., 31 from the left cell of the first row, 32, 33, 34, ..., 62 from the left cell of the second row, and 931, 932, ..., 961 from the left cell of the 31st row, The first shape is 257、287、318、319、336-338、349、366-369、380、 396、397、411、427-429、442-445、458 The shape is composed of cells with cell numbers The second shape is 105、106、133-138、163-170、192-202、207、213、214、222-233、238-245、253-265、269-276、283-296、299-307、314-327、330-338、344-359、362-369、375-390、393-400、405-431、436-462、467-493、498-524、529-555、560-586、591-617、622-648、653-679、684-710、715-741、746-772、778-803、808-834、839-865、870-896 The shape is composed of cells with cell numbers The wavelength-selective member according to claim 2 .
15. The outer periphery of the specific shape of the metal foil is either an outer periphery that is outside the outer periphery of a first shape and inside the outer periphery of a second shape, the outer periphery of the first shape itself, or the outer periphery of the second shape itself; When the wavelength selection unit is divided into 31 x 31 square cells, and the cell numbers are assigned as 1, 2, 3, ..., 31 from the left cell of the first row, 32, 33, 34, ..., 62 from the left cell of the second row, and 931, 932, ..., 961 from the left cell of the 31st row, The first shape is 257、287、318、319、336-338、349、366-369、380、396、397、411、427-429、442-445、458、75、476、479、481、486-488、506-511、517-519、537-542、548、549、563-566、569-574、578-580、594-597、600-605、610、625、627、628、630-636、640、641、660-667、671、672、691-704、722-736、754-756、758、764-769 The shape is composed of cells with cell numbers The second shape is 105、106、133-138、163-170、192-202、207、213、214、222-233、238-245、253-265、269-276、283-296、299-307、314-327、330-338、344-359、362-369、375-390、393-400、405-431、436-462、467-493、498-524、529-555、560-586、591-617、622-648、653-679、684-710、716-741、750-772、782-802、814-832、852 The shape is composed of cells with cell numbers The wavelength-selective member according to claim 2 .
16. The outer periphery of the specific shape of the metal foil is either an outer periphery that is outside the outer periphery of a first shape and inside the outer periphery of a second shape, the outer periphery of the first shape itself, or the outer periphery of the second shape itself; When the wavelength selection unit is divided into 31 x 31 square cells, and the cell numbers are assigned as 1, 2, 3, ..., 31 from the left cell of the first row, 32, 33, 34, ..., 62 from the left cell of the second row, and 931, 932, ..., 961 from the left cell of the 31st row, The first shape is 197、198、227-229、257-260、274-276、286-291、304-307、318-322、335-338、349-352、366-369、379-383、396、397、411-414、427-429、442-445、458、459 The shape is composed of cells with cell numbers The second shape is 134-138、165-170、192-201、222-232、243、245、253-263、269-276、283-294、299-307、314-326、330-338、344-358、362-369、375-389、393-400、405-431、436-462、467-493、498-524、529-555、560-586、591-617、622-648、653-679、684-710、715-741、746-772、777-803、808-834、839-865、870-896 The shape is composed of cells with cell numbers The wavelength-selective member according to claim 2 .
17. The outer periphery of the specific shape of the metal foil is either an outer periphery that is outside the outer periphery of a first shape and inside the outer periphery of a second shape, the outer periphery of the first shape itself, or the outer periphery of the second shape itself; When the wavelength selection unit is divided into 31 x 31 square cells, and the cell numbers are assigned as 1, 2, 3, ..., 31 from the left cell of the first row, 32, 33, 34, ..., 62 from the left cell of the second row, and 931, 932, ..., 961 from the left cell of the 31st row, The first shape is 197、198、227-229、257-260、274-276、286-291、304-307、318-322、335-338、349-352、366-369、379-383、396、397、411-414、427-429、442-445、458、459、473-476、479-481、486-489、504-512、516-520、535-543、547-550、561-574、578-580、592-597、599-605、610、623-625、627、628、630-641、660-672、691-704、722-736、753-756、758、762-769 The shape is composed of cells with cell numbers The second shape is 134-138、165-170、192-201、222-232、243、245、253-263、269-276、283-294、299-307、314-326、330-338、344-358、362-369、375-389、393-400、405-431、436-462、467-493、498-524、529-555、560-586、591-614、616、617、622-646、648、653-677、684-709、718-740、750-771、782-802、816-830、832 The shape is composed of cells with cell numbers The wavelength-selective member according to claim 2 .
18. The outer periphery of the specific shape of the metal foil is either an outer periphery that is outside the outer periphery of a first shape and inside the outer periphery of a second shape, the outer periphery of the first shape itself, or the outer periphery of the second shape itself; When the wavelength selection unit is divided into 31 x 31 square cells, and the cell numbers are assigned as 1, 2, 3, ..., 31 from the left cell of the first row, 32, 33, 34, ..., 62 from the left cell of the second row, and 931, 932, ..., 961 from the left cell of the 31st row, The first shape is 196-199、226-230、255-261、274-276、286-292、303-307、317-323、334-338、348-355、364-369、379-387、395-399、410-418、426-430、441-450、456-460 The shape is composed of cells with cell numbers The second shape is 136、137、165-170、195-201、223-232、253-263、270-276、284-294、300-307、315-326、331-338、345-358、362-369、376-389、393-400、407-421、424-431、437-462、468-493、499-524、529-555、560-586、591-617、622-648、653-679、684-710、715-741、746-772、777-803、808-834、839-865、870-896 The shape is composed of cells with cell numbers The wavelength-selective member according to claim 2 .
19. The outer periphery of the specific shape of the metal foil is either an outer periphery that is outside the outer periphery of a first shape and inside the outer periphery of a second shape, the outer periphery of the first shape itself, or the outer periphery of the second shape itself; When the wavelength selection unit is divided into 31 x 31 square cells, and the cell numbers are assigned as 1, 2, 3, ..., 31 from the left cell of the first row, 32, 33, 34, ..., 62 from the left cell of the second row, and 931, 932, ..., 961 from the left cell of the 31st row, The first shape is 196-199、226-230、255-261、274-276、286-292、303-307、317-323、334-338、348-355、364-369、379-387、395-399、410-418、426-430、441-450、456-460、472-482、486-489、503-514、516-520 530-544、547-550、561-574、578-580、592-605、610、623-641、659-672、690-704、721-737、752-769 The shape is composed of cells with cell numbers The second shape is 136、137、165-170、195-201、223-232、253-263、270-276、284-294、300-307、315-326、331-338、345-358、362-369、376-389、393-400、407-421、424-431、437-462、468-493、499-524、529-555、560-582、584-586、591-613、617、622-646、648、653-677、685-708、719-739、751-770、782-801 The shape is composed of cells with cell numbers The wavelength-selective member according to claim 2 .