Regular hexagonal waveguide cut-off frequency calculation method, apparatus and device, and storage medium

Abstract

The invention discloses a regular hexagonal waveguide cut-off frequency calculation method and device, equipment and a storage medium, and relates to the technical field of communication, and the method comprises the steps: determining a first equivalent circular waveguide of a first regular hexagonal waveguide; calculating a first cut-off frequency of the first equivalent circular waveguide; determining a conversion coefficient between the first regular hexagonal waveguide and the first equivalent circular waveguide; and calculating a second cut-off frequency of the regular hexagonal waveguide according to the first cut-off frequency and the conversion coefficient. According to the method, the cut-off frequency of the equivalent circular waveguide is calculated firstly, then the conversion coefficients of the regular hexagonal waveguide and the equivalent circular waveguide are calculated, and the cut-off frequency of the regular hexagonal waveguide is calculated, so that calculation of the cut-off frequency of the regular hexagonal waveguide is realized.

Description

Technical Field

[0001] The present application relates to the field of communication technology, and in particular to a method, device, equipment and storage medium for calculating the cutoff frequency of a regular hexagonal waveguide. Background Art

[0002] Cutoff waveguides achieve frequency-selective control of electromagnetic wave propagation, signal transmission optimization, interference reduction, and propagation mode guidance through their specific structures and design parameters. When designing array holes, regular hexagonal holes (or hexagonal holes) are generally considered to be a more suitable choice. However, there is currently no calculation solution for the cutoff frequency of regular hexagonal waveguides. Summary of the invention

[0003] The main purpose of the embodiments of the present application is to propose a method, device, equipment and storage medium for calculating the cutoff frequency of a regular hexagonal waveguide, so as to calculate the cutoff frequency of the regular hexagonal waveguide.

[0004] To achieve the above purpose, an embodiment of the present application provides a method for calculating the cutoff frequency of a regular hexagonal waveguide, the method comprising the following steps:

[0005] determining a first equivalent circular waveguide of the first regular hexagonal waveguide;

[0006] Calculating a first cutoff frequency of the first equivalent circular waveguide;

[0007] Determining a conversion coefficient between the first regular hexagonal waveguide and the first equivalent circular waveguide;

[0008] A second cutoff frequency of the first regular hexagonal waveguide is calculated according to the first cutoff frequency and the conversion coefficient.

[0009] In some embodiments, determining a first equivalent circular waveguide of the first regular hexagonal waveguide comprises the following steps:

[0010] Determine the outer circumference radius or the inner circumference radius of the first regular hexagonal waveguide;

[0011] The first equivalent circular waveguide is determined according to the outer circumscribed circle radius or the inner circumscribed circle radius.

[0012] In some embodiments, calculating the first cutoff frequency of the first equivalent circular waveguide comprises the following steps:

[0013] Determine the TE of the first equivalent circular waveguide mn The boundary conditions of the model;

[0014] Determine the TE of the first equivalent circular waveguide according to the boundary conditions mn The cutoff wave number of the mode;

[0015] The first cutoff frequency of the first equivalent circular waveguide is determined according to the cutoff wave number.

[0016] In some embodiments, the determining of the TE of the first equivalent circular waveguide mn The boundary conditions of the model include the following steps:

[0017] The boundary condition expression is determined to include the following expression:

[0018]

[0019] E z =0;

[0020] Among them, the TE mn The TE wave of the mode z =0,H z ≠0; a is the radius of the first equivalent circular waveguide; μ is the magnetic permeability in the first equivalent circular waveguide; E z 、E ρ , H z , H ρ , are the components of the electric field and magnetic field in the first equivalent circular waveguide respectively; j is an imaginary unit; β is a phase constant; J m is the m-th order Bessel function of the first kind, H m Determined by the intensity of the excitation source; k c is the cutoff wave number; w is the angular frequency; k is the wave number, which is the inverse of the wavelength; TE is the transverse electric wave, which has no electric field component in the propagation direction, E z =0;TE 11 is the main mode of the first equivalent circular waveguide; m is the first-kind Bessel function of order m; ρ, are the units of the cylindrical coordinate system, representing radial distance and azimuth respectively.

[0021] In some embodiments, the TE of the first equivalent circular waveguide is determined according to the boundary condition. mn The cutoff wave number of the mode includes the following steps:

[0022] Determine the TE of the first equivalent circular waveguide according to the boundary conditions mn The cutoff wave number of the mode is:

[0023]

[0024] Among them, (k c ) mn For the TE mn The cutoff wave number of the mode, p' mn is the first-order derivative of the Bessel function J'm (k c a) = the root of 0;

[0025] Determining the first cutoff frequency of the first equivalent circular waveguide according to the cutoff wave number comprises the following steps:

[0026] The first cutoff frequency of the first equivalent circular waveguide is determined according to the cutoff wave number as follows:

[0027]

[0028] Among them, f c is the first cut-off frequency, and ε is the dielectric constant.

[0029] In some embodiments, determining the conversion coefficient between the first regular hexagonal waveguide and the first equivalent circular waveguide comprises the following steps:

[0030] Determine a plurality of different second regular hexagonal waveguides, and then use electromagnetic simulation software to respectively calculate the third cutoff frequency of each of the second regular hexagonal waveguides;

[0031] Determine a second equivalent circular waveguide corresponding to each of the second regular hexagonal waveguides, and then calculate a fourth cutoff frequency of each of the second equivalent circular waveguides;

[0032] Calculating the conversion coefficient according to each of the third cutoff frequencies and each of the fourth cutoff frequencies;

[0033] The calculation formula of the conversion coefficient is:

[0034]

[0035] Wherein, X represents the conversion coefficient, y represents the number of the second regular hexagonal waveguides, and f i-z1 represents the third cutoff frequency of the ith i-z2 represents the i-th fourth cutoff frequency.

[0036] In some embodiments, the step of calculating the second cutoff frequency of the first regular hexagonal waveguide according to the first cutoff frequency and the conversion coefficient comprises the following steps:

[0037] The first cutoff frequency is multiplied by the conversion coefficient to obtain the second cutoff frequency of the first regular hexagonal waveguide.

[0038] To achieve the above object, another aspect of the embodiment of the present application provides a device for calculating the cutoff frequency of a regular hexagonal waveguide, the device comprising:

[0039] A waveguide equivalent unit, used to determine a first equivalent circular waveguide of a first regular hexagonal waveguide;

[0040] A cut-off frequency calculation unit, used to calculate a first cut-off frequency of the first equivalent circular waveguide;

[0041] A conversion coefficient determining unit, used to determine a conversion coefficient between the first regular hexagonal waveguide and the first equivalent circular waveguide;

[0042] A waveguide calculation unit is used to calculate a second cutoff frequency of the first regular hexagonal waveguide according to the first cutoff frequency and the conversion coefficient.

[0043] To achieve the above objective, another aspect of an embodiment of the present application provides an electronic device, the electronic device comprising a memory and a processor, the memory storing a computer program, and the processor implementing the above method when executing the computer program.

[0044] To achieve the above objective, another aspect of an embodiment of the present application provides a computer-readable storage medium, wherein the computer-readable storage medium stores a computer program, and the computer program implements the above method when executed by a processor.

[0045] The embodiments of the present application include at least the following beneficial effects:

[0046] The present application can determine the first equivalent circular waveguide of the first regular hexagonal waveguide; calculate the first cutoff frequency of the first equivalent circular waveguide; determine the conversion coefficient between the first regular hexagonal waveguide and the first equivalent circular waveguide; and calculate the second cutoff frequency of the regular hexagonal waveguide according to the first cutoff frequency and the conversion coefficient. The present application calculates the cutoff frequency of the regular hexagonal waveguide by first calculating the cutoff frequency of the equivalent circular waveguide, then calculating the conversion coefficient between the regular hexagonal waveguide and the equivalent circular waveguide, and then calculating the cutoff frequency of the regular hexagonal waveguide. BRIEF DESCRIPTION OF THE DRAWINGS

[0047] In order to more clearly illustrate the technical solutions in the embodiments of the present application, the drawings required for use in the description of the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present application. For ordinary technicians in this field, other drawings can be obtained based on these drawings without creative work.

[0048] Figure 1 A schematic diagram of cutoff waveguide loss provided in an embodiment of the present application;

[0049] Figure 2 A schematic diagram of a flow chart of a method for calculating the cutoff frequency of a regular hexagonal waveguide provided in an embodiment of the present application;

[0050] Figure 3 An example structural diagram of a regular hexagonal waveguide provided in an embodiment of the present application;

[0051] Figure 4 An example comparison diagram of a regular hexagonal waveguide and an equivalent circular waveguide provided in an embodiment of the present application;

[0052] Figure 5 Equivalent example diagram of a regular hexagonal waveguide and a circular waveguide provided in an embodiment of the present application;

[0053] Figure 6 A schematic diagram of the structure of a regular hexagonal waveguide cutoff frequency calculation device provided in an embodiment of the present application;

[0054] Figure 7 A schematic diagram of the hardware structure of an electronic device provided in an embodiment of the present application. DETAILED DESCRIPTION

[0055] In order to make the purpose, technical solutions and advantages of the present application clearer, the present application is further described in detail below in conjunction with the accompanying drawings and examples. It should be understood that the specific embodiments described herein are only used to explain the present application and are not intended to limit the present application. When the following description refers to the drawings, unless otherwise indicated, the same numbers in different drawings represent the same or similar elements. The embodiments described in the following exemplary embodiments do not represent all embodiments consistent with the embodiments of the present application. They are only examples of devices and methods consistent with some aspects of the embodiments of the present application as detailed in the attached claims.

[0056] It is understood that the terms "first", "second", etc. used in this application can be used to describe various concepts in this article, but unless otherwise specified, these concepts are not limited by these terms. These terms are only used to distinguish one concept from another concept. For example, without departing from the scope of the embodiment of the present application, the first information may also be referred to as the second information, and similarly, the second information may also be referred to as the first information. Depending on the context, the words "if" and "if" as used herein can be interpreted as "at the time of" or "when" or "in response to determination".

[0057] The terms "at least one", "multiple", "each", "any", etc. used in this application, at least one includes one, two or more, multiple includes two or more, each refers to each of the corresponding multiple, and any refers to any one of the multiple.

[0058] Unless otherwise defined, all technical and scientific terms used herein have the same meaning as those commonly understood by those skilled in the art to which this application belongs. The terms used herein are only for the purpose of describing the embodiments of this application and are not intended to limit this application.

[0059] Before describing the embodiments of the present application in detail, some related technologies involved in the embodiments of the present application are first described as follows:

[0060] A cutoff waveguide is a key component used to control the propagation of electromagnetic waves. It is designed so that electromagnetic waves can only be transmitted within a specific frequency range. Its working principle is based on the fact that electromagnetic waves are limited by the geometric size and shape of the waveguide when propagating inside it. This structural design makes it so that electromagnetic waves can only propagate effectively when the frequency exceeds a certain frequency (i.e., the cutoff frequency), while waves below this frequency will be blocked. The above frequency selectivity makes the cutoff waveguide play an important role in high-frequency communication systems. A schematic diagram of the cutoff waveguide loss is shown in the figure below. Figure 1 shown.

[0061] Cutoff waveguides are used in a wide range of applications, including radar systems, satellite communications, microwave ovens, and wireless communication equipment. In these systems, cutoff waveguides can effectively isolate signals of different frequency bands, improve signal transmission efficiency, reduce interference, and optimize system performance. For example, in radar systems, cutoff waveguides help isolate radar signals from interference signals, thereby improving the accuracy of target detection.

[0062] When designing a cutoff waveguide, its geometric dimensions need to be precisely adjusted to set the appropriate cutoff frequency. Common waveguide types include rectangular waveguides and circular waveguides, each of which supports different propagation modes. By selecting a suitable waveguide structure, precise control of electromagnetic waves can be achieved to meet the needs of specific applications. Cutoff waveguides generally appear in the form of arrays. When designing array structures, regular hexagonal holes have significant advantages in terms of space utilization efficiency, mechanical properties, thermal diffusion, and aesthetics. Choosing hexagonal holes can achieve maximum hole density in a limited space while maintaining excellent structural performance and visual effects.

[0063] However, compared with rectangular waveguides and circular waveguides, regular hexagonal waveguides do not have an accurate calculation expression for the cutoff frequency. The present application provides a calculation scheme for the cutoff frequency of a regular hexagonal waveguide, so that the cutoff frequency can be predicted based on the geometric dimensions of the regular hexagonal waveguide in the early stage of design, thereby performing efficient design.

[0064] The embodiments of the present application provide a method, device, equipment and storage medium for calculating the cutoff frequency of a regular hexagonal waveguide. The technical solution of the present application includes: determining a first equivalent circular waveguide of a first regular hexagonal waveguide; calculating a first cutoff frequency of the first equivalent circular waveguide; determining a conversion coefficient between the first regular hexagonal waveguide and the first equivalent circular waveguide; and calculating a second cutoff frequency of the regular hexagonal waveguide according to the first cutoff frequency and the conversion coefficient. The present application calculates the cutoff frequency of a regular hexagonal waveguide by first calculating the cutoff frequency of the equivalent circular waveguide, then calculating the conversion coefficient between the regular hexagonal waveguide and the equivalent circular waveguide, and then calculating the cutoff frequency of the regular hexagonal waveguide.

[0065] The embodiments of the present application provide a method, device, equipment and storage medium for calculating the cutoff frequency of a regular hexagonal waveguide, and relate to the field of communication technology. The method, device, equipment and storage medium for calculating the cutoff frequency of a regular hexagonal waveguide provided in the embodiments of the present application can be applied to a terminal, can also be applied to a server, and can also be software running in a terminal or a server. In some embodiments, the terminal can be a smart phone, a tablet computer, a laptop computer, a desktop computer, a smart speaker, a smart watch, and a car terminal, etc., but are not limited to this; the server side can be configured as an independent physical server, or a server cluster or distributed system composed of multiple physical servers, and can also be configured to provide cloud services, cloud databases, cloud computing, cloud functions, cloud storage, network services, cloud communications, middleware services, domain name services, security services, CDN, and cloud servers for basic cloud computing services such as big data and artificial intelligence platforms. The server can also be a node server in a blockchain network; the software can be an application that implements a knowledge extraction method, etc., but is not limited to the above forms.

[0066] The present application can be used in many general or special computer system environments or configurations. For example: personal computers, server computers, handheld or portable devices, tablet devices, multiprocessor systems, microprocessor-based systems, set-top boxes, programmable consumer electronics, network PCs, minicomputers, mainframe computers, distributed computing environments including any of the above systems or devices, etc. The present application can be described in the general context of computer-executable instructions executed by a computer, such as program modules. Generally, program modules include routines, programs, objects, components, data structures, etc. that perform specific tasks or implement specific abstract data types. The present application can also be practiced in distributed computing environments, in which tasks are performed by remote processing devices connected through a communication network. In a distributed computing environment, program modules can be located in local and remote computer storage media including storage devices.

[0067] Reference Figure 2 , the embodiment of the present application provides a method for calculating the cutoff frequency of a regular hexagonal waveguide, the method may include but is not limited to including S200 to S230, specifically as follows:

[0068] S200: Determine a first equivalent circular waveguide of the first regular hexagonal waveguide.

[0069] Specifically, each waveguide of the present embodiment may be a cylindrical waveguide, and the cross-sections of the regular hexagonal waveguide and the equivalent circular waveguide are in the shape of a regular hexagon and a circle, respectively.

[0070] Further, S200 may include S201-S202:

[0071] S201: Determine the outer circumference radius or the inner circumference radius of the first regular hexagonal waveguide;

[0072] S202: Determine the first equivalent circular waveguide according to the circumscribed circle radius or the inscribed circle radius.

[0073] Optionally, in this embodiment, the circumscribed circle radius or the inscribed circle radius may be used as the cross-sectional circle radius of the first equivalent circular waveguide.

[0074] S210: Calculate a first cutoff frequency of the first equivalent circular waveguide.

[0075] Further, S210 may include S211 to S213:

[0076] S211: Determine the TE of the first equivalent circular waveguide mn The boundary conditions of the model;

[0077] S212: Determine the TE of the first equivalent circular waveguide according to the boundary condition mn The cutoff wave number of the mode;

[0078] S213: Determine the first cutoff frequency of the first equivalent circular waveguide according to the cutoff wave number.

[0079] As a further implementation, S211 may include the following steps:

[0080] The boundary condition expression is determined to include the following expression:

[0081]

[0082]

[0083] E z =0;

[0084] Among them, the TE mn The TE wave of the mode z =0,H z ≠0; a is the radius of the first equivalent circular waveguide; μ is the magnetic permeability in the first equivalent circular waveguide; E z 、E ρ , H z , H ρ , are the components of the electric field and magnetic field in the first equivalent circular waveguide respectively; j is an imaginary unit; β is a phase constant; J m is the m-th order Bessel function of the first kind, H m Determined by the intensity of the excitation source; k cis the cutoff wave number; w is the angular frequency; k is the wave number, which is the inverse of the wavelength; TE is the transverse electric wave, which has no electric field component in the propagation direction, E z =0;TE 11 is the main mode of the first equivalent circular waveguide; m is the first-kind Bessel function of order m; ρ, are the units of the cylindrical coordinate system, representing radial distance and azimuth respectively.

[0085] S212 may further include:

[0086] Determine the TE of the first equivalent circular waveguide according to the boundary conditions mn The cutoff wave number of the mode is:

[0087]

[0088] Among them, (k c ) mn For the TE mn The cutoff wave number of the mode, p' mn is the first-order derivative of the Bessel function J' m (k c a)=root of 0.

[0089] S213 may further include:

[0090] The first cutoff frequency of the first equivalent circular waveguide is determined according to the cutoff wave number as follows:

[0091]

[0092] Among them, f c is the first cut-off frequency, and ε is the dielectric constant.

[0093] S220: Determine a conversion coefficient between the first regular hexagonal waveguide and the first equivalent circular waveguide.

[0094] Optionally, the conversion coefficient of this embodiment may be a conversion coefficient between the cutoff frequency of a regular hexagonal waveguide and the cutoff frequency of an equivalent circular waveguide.

[0095] Further, S220 may include S221 to S223:

[0096] S221: determining a plurality of different second regular hexagonal waveguides, and then using electromagnetic simulation software to respectively calculate a third cutoff frequency of each of the second regular hexagonal waveguides;

[0097] S222: Determine a second equivalent circular waveguide corresponding to each of the second regular hexagonal waveguides, and then calculate a fourth cutoff frequency of each of the second equivalent circular waveguides;

[0098] S223: Calculating the conversion coefficient according to each of the third cutoff frequencies and each of the fourth cutoff frequencies;

[0099] The calculation formula of the conversion coefficient is:

[0100]

[0101] Wherein, X represents the conversion coefficient, y represents the number of the second regular hexagonal waveguides, and f i-z1 represents the third cutoff frequency of the ith i-z2 represents the i-th fourth cutoff frequency.

[0102] S230: Calculate a second cutoff frequency of the first regular hexagonal waveguide according to the first cutoff frequency and the conversion coefficient.

[0103] Further, S230 may include:

[0104] The first cutoff frequency is multiplied by the conversion coefficient to obtain the second cutoff frequency of the first regular hexagonal waveguide.

[0105] Specifically, the second cutoff frequency of the first regular hexagonal waveguide can be obtained by multiplying the first cutoff frequency of the first equivalent circular waveguide by the conversion coefficient.

[0106] The embodiment of the present application proposes a method for calculating the cutoff frequency of a regular hexagonal waveguide, which equates the regular hexagonal waveguide to a circular waveguide (optionally, the inner diameter of the circular waveguide is the outer circle radius or the inscribed circle radius of the regular hexagon), and uses the linear relationship between the cutoff frequencies of the regular hexagonal waveguide and the equivalent circular waveguide to obtain the cutoff frequency of the regular hexagonal waveguide. Then, when designing the regular hexagonal cutoff waveguide, the cutoff frequency of the regular hexagonal waveguide can be calculated, thereby improving the design efficiency of the regular hexagonal cutoff waveguide.

[0107] Next, the solution of the embodiment of the present application will be introduced and explained in detail with reference to specific application examples.

[0108] Specifically, this embodiment can first confirm the size of the regular hexagonal waveguide structure, then equate the regular hexagonal waveguide to a circular waveguide, and calculate the equivalent circular waveguide cutoff frequency, and then multiply the circular waveguide cutoff frequency by the conversion coefficient between the equivalent circular waveguide and the regular hexagonal waveguide cutoff frequency proposed in this embodiment, thereby calculating the regular hexagonal waveguide cutoff frequency.

[0109] Next, the present embodiment scheme will be described in detail:

[0110] Step 1: Confirm the regular hexagonal waveguide structure.

[0111] Regular hexagonal waveguide Figure 3As shown, first confirm the structural dimensions of the regular hexagonal waveguide, including the circumscribed circle R and the inscribed circle r of the inner cross section of the regular hexagonal waveguide, as shown in Figure 4 As shown, this is done to prepare for the subsequent confirmation of the size of the equivalent circular waveguide.

[0112] Step 2: Equivalent the regular hexagonal waveguide to a circular waveguide.

[0113] The cross section of a regular hexagonal waveguide is a regular hexagon with six symmetry axes. The field distribution after the electromagnetic wave enters the regular hexagonal waveguide is very similar to the field distribution after the electromagnetic wave enters the circular waveguide. Therefore, the present invention proposes to make the regular hexagonal waveguide equivalent to a circular waveguide, and the cutoff frequency of the circular waveguide can be calculated by a theoretical formula. After the present invention makes the regular hexagonal waveguide equivalent to a circular waveguide, the cutoff frequency of the regular hexagonal waveguide can be calculated by a theoretical formula.

[0114] After determining the size of the circumscribed circle (size R) and the inscribed circle (r) of the inner cross section of the regular hexagonal waveguide in the first step, the regular hexagonal waveguide is equivalent to a circular waveguide, such as Figure 5 The radius of the circular waveguide is the circumscribed circle (dimension R) or the inscribed circle (r) of the regular hexagonal waveguide.

[0115] Step 3: Calculate the equivalent circular waveguide cutoff frequency based on the theoretical expression of circular waveguide cutoff frequency.

[0116] The lowest cutoff frequency of the cylindrical waveguide is TE 11 Wave, next we introduce the theoretical expression of cylindrical waveguide TE wave:

[0117] Circular waveguide TE wave E z =0,H z ≠0, the boundary conditions are:

[0118]

[0119] E z =0 (7)

[0120] In the above formulas, a is the radius of the circular waveguide; μ is the magnetic permeability of the coal in the circular waveguide; E z 、E ρ , H z , H ρ , are the components of the electric field and magnetic field in the circular waveguide respectively; j is an imaginary unit, which is equivalent to the imaginary number i in mathematics (i 2 =-1), since i represents electric current in physics, j is used to represent an imaginary number; β is the phase constant, which is related to the propagation speed and wavelength of the wave; J m is the m-th order Bessel function of the first kind, H m Determined by the intensity of the excitation source; k cis the cutoff wave number; w is the angular frequency; k is the wave number, which is the inverse of the wavelength; TE is the transverse electric wave, which has no electric field component in the propagation direction, E z =0;TE 11 is the main mode of the first equivalent circular waveguide; m is the first-kind Bessel function of order m; ρ, are the units of the cylindrical coordinate system, representing radial distance and azimuth respectively.

[0121] TE mn The cutoff wave number of the mode is:

[0122]

[0123] Among them, p' mn is the first-order derivative of the Bessel function J' m (k c a) = 0. Table 1 is p' mn Some exemplary root values ​​of .

[0124] Table 1 J′ m (p) = root p′ of 0 mn

[0125] m n＝1 n＝2 n＝3 n＝4 0 3.832 7.016 10.174 13.324 1 1.841 5.332 8.536 11.706 2 3.054 6.705 9.965 13.107 3 4.201 8.015 11.344 /

[0126] Among them, multiple modes can exist in the circular waveguide, and m and n are not zero.

[0127] In a cylindrical waveguide, the propagation constant determines the propagation characteristics of waves in different modes. After the cylindrical waveguide dimensions are determined, TE mn Mode cutoff wave number k c The corresponding cutoff frequency is:

[0128]

[0129] It can be seen that after substituting m=1, n=1 into the above expression, the lowest cutoff frequency of the cylindrical waveguide is:

[0130]

[0131] Where: a is the radius of the cylindrical waveguide (the outer circle radius R or the inscribed circle radius r of a regular hexagon), μ and ε are the magnetic permeability and dielectric constant of the filling parameters in the waveguide, respectively.

[0132] Step 4: Determine the conversion coefficient between the regular hexagonal waveguide and the equivalent circular waveguide.

[0133] In the third step, the cutoff frequency calculation of the circular waveguide after the regular hexagonal waveguide is equivalent is completed through the theoretical formula. The present invention proposes to multiply the equivalent circular waveguide by the conversion coefficient to obtain the cutoff frequency of the regular hexagonal waveguide to be calculated. The calculation method of the conversion coefficient is as follows:

[0134] 1. Select y (y>10) regular hexagonal waveguides of different sizes and use electromagnetic simulation software to calculate the cutoff frequency f of the regular hexagonal waveguides. i-z1 (i=1, 2, 3, ... n);

[0135] 2. Use the theoretical expression to calculate the circular waveguide cutoff frequency f corresponding to the outer circle R or the inner circle r of the regular hexagonal waveguide in the first step i-z2 (i=1, 2, 3, ... n);

[0136] 3. Divide the cutoff frequency of the regular hexagonal waveguide obtained by simulation by the cutoff frequency f of the equivalent circular waveguide of its circumscribed circle R or inscribed circle r i-圆 , and get the coefficient

[0137] 4. Finally calculate the average conversion factor Thus, the conversion coefficient X between the regular hexagonal waveguide and the circumscribed circular waveguide is obtained.

[0138] Step 5: Calculate the cutoff frequency of the regular hexagonal waveguide.

[0139] Determine the radius of the circumscribed circle or inscribed circle of the inner cross section of the regular hexagonal waveguide to be solved, use the third step formula (10) to obtain the equivalent circular waveguide cutoff frequency, and then multiply it by the conversion coefficient X between the regular hexagonal waveguide and the cylindrical waveguide cutoff frequency obtained in the fourth step to obtain the regular hexagonal waveguide cutoff frequency.

[0140] The cutoff waveguide realizes functions such as frequency selective control of electromagnetic wave propagation, signal transmission optimization, interference reduction and propagation mode guidance through its specific structure and design parameters. When designing array holes, regular hexagonal holes (or hexagonal holes) are generally considered to be a more suitable choice. However, there is currently no calculation method for the cutoff frequency of a regular hexagonal waveguide. This embodiment provides a calculation method for the cutoff frequency of a regular hexagonal waveguide, so that the cutoff frequency of the regular hexagonal waveguide can be calculated according to demand in the early stage of design, thereby improving the design efficiency and solving the technical problem that the cutoff frequency of the regular hexagonal waveguide cannot be predicted in the early stage of design. The scheme of this embodiment can be applied to the design of multi-layer high-shielding waveguide window structure; wherein each layer of waveguide window is composed of a number of hexagonal waveguide cavities, which can be applied to ventilation shielding windows such as radar communications and electromagnetic equipment.

[0141] Reference Figure 6 The embodiment of the present application further provides a device for calculating the cutoff frequency of a regular hexagonal waveguide, which can implement the above-mentioned method for calculating the cutoff frequency of a regular hexagonal waveguide. The device includes:

[0142] A waveguide equivalent unit, used to determine a first equivalent circular waveguide of a first regular hexagonal waveguide;

[0143] A cut-off frequency calculation unit, used to calculate a first cut-off frequency of the first equivalent circular waveguide;

[0144] A conversion coefficient determining unit, used to determine a conversion coefficient between the first regular hexagonal waveguide and the first equivalent circular waveguide;

[0145] A waveguide calculation unit is used to calculate a second cutoff frequency of the first regular hexagonal waveguide according to the first cutoff frequency and the conversion coefficient.

[0146] It can be understood that the contents of the above method embodiments are all applicable to the present device embodiments, the functions specifically implemented by the present device embodiments are the same as those of the above method embodiments, and the beneficial effects achieved are also the same as those achieved by the above method embodiments.

[0147] The embodiment of the present application also provides an electronic device, the electronic device includes a memory and a processor, the memory stores a computer program, and the processor implements the above-mentioned regular hexagonal waveguide cutoff frequency calculation method when executing the computer program. The electronic device can be any smart terminal including a tablet computer, a car computer, etc.

[0148] It can be understood that the contents of the above method embodiments are all applicable to the present device embodiments, the functions specifically implemented by the present device embodiments are the same as those of the above method embodiments, and the beneficial effects achieved are also the same as those achieved by the above method embodiments.

[0149] See also Figure 7 , Figure 7 The hardware structure of an electronic device of another embodiment is illustrated, and the electronic device includes:

[0150] The processor 701 may be implemented by a general-purpose CPU (Central Processing Unit), a microprocessor, an application-specific integrated circuit (ASIC), or one or more integrated circuits, and is used to execute relevant programs to implement the technical solutions provided in the embodiments of the present application;

[0151] The memory 702 can be implemented in the form of a read-only memory (ROM), a static storage device, a dynamic storage device, or a random access memory (RAM). The memory 702 can store an operating system and other application programs. When the technical solution provided in the embodiment of this specification is implemented by software or firmware, the relevant program code is stored in the memory 702, and the processor 701 calls and executes the regular hexagonal waveguide cutoff frequency calculation method of the embodiment of the present application;

[0152] Input / output interface 703, used to implement information input and output;

[0153] Communication interface 704, used to realize communication interaction between the device and other devices, which can be realized through wired mode (such as USB, network cable, etc.) or wireless mode (such as mobile network, WIFI, Bluetooth, etc.);

[0154] A bus 705 that transmits information between the various components of the device (e.g., the processor 701, the memory 702, the input / output interface 703, and the communication interface 704);

[0155] The processor 701 , the memory 702 , the input / output interface 703 and the communication interface 704 are connected to each other in communication within the device via a bus 705 .

[0156] An embodiment of the present application further provides a computer-readable storage medium, which stores a computer program. When the computer program is executed by a processor, the above-mentioned method for calculating the cutoff frequency of a regular hexagonal waveguide is implemented.

[0157] It can be understood that the contents of the above method embodiments are all applicable to the present storage medium embodiments, the functions specifically implemented by the present storage medium embodiments are the same as those of the above method embodiments, and the beneficial effects achieved are also the same as those achieved by the above method embodiments.

[0158] The memory, as a non-transient computer-readable storage medium, can be used to store non-transient software programs and non-transient computer executable programs. In addition, the memory may include a high-speed random access memory, and may also include a non-transient memory, such as at least one disk storage device, a flash memory device, or other non-transient solid-state storage device. In some embodiments, the memory may optionally include a memory remotely disposed relative to the processor, and these remote memories may be connected to the processor via a network. Examples of the above-mentioned network include, but are not limited to, the Internet, an intranet, a local area network, a mobile communication network, and combinations thereof.

[0159] The embodiments described in the embodiments of the present application are intended to more clearly illustrate the technical solutions of the embodiments of the present application and do not constitute a limitation on the technical solutions provided in the embodiments of the present application. Those skilled in the art will appreciate that with the evolution of technology and the emergence of new application scenarios, the technical solutions provided in the embodiments of the present application are also applicable to similar technical problems.

[0160] Those skilled in the art will appreciate that the technical solutions shown in the figures do not constitute a limitation on the embodiments of the present application, and may include more or fewer steps than shown in the figures, or a combination of certain steps, or different steps.

[0161] The device embodiments described above are merely illustrative, and the units described as separate components may or may not be physically separated, that is, they may be located in one place or distributed on multiple network units. Some or all of the modules may be selected according to actual needs to achieve the purpose of the solution of this embodiment.

[0162] Those skilled in the art will appreciate that all or some of the steps in the methods disclosed above, and the functional modules / units in the systems and devices may be implemented as software, firmware, hardware, or a suitable combination thereof.

[0163] The terms "first", "second", "third", "fourth", etc. (if any) in the specification of the present application and the above-mentioned drawings are used to distinguish similar objects, and are not necessarily used to describe a specific order or sequence. It should be understood that the data used in this way can be interchangeable where appropriate, so that the embodiments of the present application described herein can be implemented in an order other than those illustrated or described herein. In addition, the terms "including" and "having" and any of their variations are intended to cover non-exclusive inclusions, for example, a process, method, system, product or device comprising a series of steps or units is not necessarily limited to those steps or units clearly listed, but may include other steps or units that are not clearly listed or inherent to these processes, methods, products or devices.

[0164] It should be understood that in the present application, "at least one (item)" means one or more, and "plurality" means two or more. "And / or" is used to describe the association relationship of associated objects, indicating that three relationships may exist. For example, "A and / or B" can mean: only A exists, only B exists, and A and B exist at the same time, where A and B can be singular or plural. The character " / " generally indicates that the objects associated before and after are in an "or" relationship. "At least one of the following" or similar expressions refers to any combination of these items, including any combination of single or plural items. For example, at least one of a, b or c can mean: a, b, c, "a and b", "a and c", "b and c", or "a and b and c", where a, b, c can be single or multiple.

[0165] In the several embodiments provided in the present application, it should be understood that the disclosed devices and methods can be implemented in other ways. For example, the device embodiments described above are only schematic. For example, the division of the above units is only a logical function division. There may be other division methods in actual implementation, such as multiple units or components can be combined or integrated into another system, or some features can be ignored or not executed. Another point is that the mutual coupling or direct coupling or communication connection shown or discussed can be through some interfaces, indirect coupling or communication connection of devices or units, which can be electrical, mechanical or other forms.

[0166] The units described above as separate components may or may not be physically separated, and the components shown as units may or may not be physical units, that is, they may be located in one place or distributed on multiple network units. Some or all of the units may be selected according to actual needs to achieve the purpose of the solution of this embodiment.

[0167] In addition, each functional unit in each embodiment of the present application may be integrated into one processing unit, or each unit may exist physically separately, or two or more units may be integrated into one unit. The above-mentioned integrated unit may be implemented in the form of hardware or in the form of software functional units.

[0168] If the integrated unit is implemented in the form of a software functional unit and sold or used as an independent product, it can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present application, or the part that contributes to the prior art, or all or part of the technical solution can be embodied in the form of a software product, and the computer software product is stored in a storage medium, including multiple instructions to enable a computer device (which can be a personal computer, server, or network device, etc.) to execute all or part of the steps of the methods of various embodiments of the present application. The aforementioned storage medium includes: U disk, mobile hard disk, read-only memory (Read-Only Memory, referred to as ROM), random access memory (Random Access Memory, referred to as RAM), disk or optical disk and other media that can store programs.

[0169] The preferred embodiments of the present invention are described above with reference to the accompanying drawings, but the scope of the rights of the present invention is not limited thereto. Any modification, equivalent substitution and improvement made by a person skilled in the art without departing from the scope and essence of the present invention should be within the scope of the rights of the present invention.

Claims

1. A method for calculating the cutoff frequency of a regular hexagonal waveguide, characterized in that: The method comprises the following steps: determining a first equivalent circular waveguide of the first regular hexagonal waveguide; Calculating a first cutoff frequency of the first equivalent circular waveguide; Determining a conversion coefficient between the first regular hexagonal waveguide and the first equivalent circular waveguide; A second cutoff frequency of the first regular hexagonal waveguide is calculated according to the first cutoff frequency and the conversion coefficient.

2. The method for calculating the cutoff frequency of a regular hexagonal waveguide according to claim 1, characterized in that: The step of determining a first equivalent circular waveguide of a first regular hexagonal waveguide comprises the following steps: Determine the outer circumference radius or the inner circumference radius of the first regular hexagonal waveguide; The first equivalent circular waveguide is determined according to the outer circumscribed circle radius or the inner circumscribed circle radius.

3. The method for calculating the cutoff frequency of a regular hexagonal waveguide according to claim 1, characterized in that: The step of calculating the first cutoff frequency of the first equivalent circular waveguide comprises the following steps: Determine the TE of the first equivalent circular waveguide mn The boundary conditions of the model; Determine the TE of the first equivalent circular waveguide according to the boundary conditions mn The cutoff wave number of the mode; The first cutoff frequency of the first equivalent circular waveguide is determined according to the cutoff wave number.

4. The method for calculating the cutoff frequency of a regular hexagonal waveguide according to claim 3, characterized in that: The step of determining the TE of the first equivalent circular waveguide mn The boundary conditions of the model include the following steps: The boundary condition expression is determined to include the following expression: E z ＝0； Among them, the TE mn The TE wave of the mode E z =0,H z ≠0; a is the radius of the first equivalent circular waveguide; μ is the magnetic permeability in the first equivalent circular waveguide; E z 、E ρ , H z , H ρ , are the components of the electric field and magnetic field in the first equivalent circular waveguide respectively; j is an imaginary unit; β is a phase constant; J m is the m-th order Bessel function of the first kind, H m Determined by the intensity of the excitation source; k c is the cutoff wave number; w is the angular frequency; k is the wave number, which is the inverse of the wavelength; TE is the transverse electric wave, which has no electric field component in the propagation direction, E z =0;TE 11 is the main mode of the first equivalent circular waveguide; m is the m-th order first kind Bessel function; ρ, are the units of the cylindrical coordinate system, representing radial distance and azimuth respectively.

5. The method for calculating the cutoff frequency of a regular hexagonal waveguide according to claim 4, characterized in that: The TE of the first equivalent circular waveguide is determined according to the boundary condition. mn The cutoff wave number of the mode includes the following steps: Determine the TE of the first equivalent circular waveguide according to the boundary conditions mn The cutoff wave number of the mode is: Among them, (k c ) mn For the TE mn The cutoff wave number of the mode, p' mn is the first-order derivative of the Bessel function J' m (k c a) = the root of 0; Determining the first cutoff frequency of the first equivalent circular waveguide according to the cutoff wave number comprises the following steps: The first cutoff frequency of the first equivalent circular waveguide is determined according to the cutoff wave number as follows: Among them, f c is the first cut-off frequency, and ε is the dielectric constant.

6. The method for calculating the cutoff frequency of a regular hexagonal waveguide according to claim 1, characterized in that: The step of determining the conversion coefficient between the first regular hexagonal waveguide and the first equivalent circular waveguide comprises the following steps: Determine a plurality of different second regular hexagonal waveguides, and then use electromagnetic simulation software to respectively calculate the third cutoff frequency of each of the second regular hexagonal waveguides; Determine a second equivalent circular waveguide corresponding to each of the second regular hexagonal waveguides, and then calculate a fourth cutoff frequency of each of the second equivalent circular waveguides; Calculating the conversion coefficient according to each of the third cutoff frequencies and each of the fourth cutoff frequencies; The calculation formula of the conversion coefficient is: Wherein, X represents the conversion coefficient, y represents the number of the second regular hexagonal waveguides, and f i-z1 represents the third cutoff frequency of the ith i-z2 represents the i-th fourth cutoff frequency.

7. The method for calculating the cutoff frequency of a regular hexagonal waveguide according to any one of claims 1 to 6, characterized in that: The step of calculating the second cutoff frequency of the first regular hexagonal waveguide according to the first cutoff frequency and the conversion coefficient comprises the following steps: The first cutoff frequency is multiplied by the conversion coefficient to obtain the second cutoff frequency of the first regular hexagonal waveguide.

8. A device for calculating the cut-off frequency of a regular hexagonal waveguide, characterized in that: The device comprises: A waveguide equivalent unit, used to determine a first equivalent circular waveguide of a first regular hexagonal waveguide; A cut-off frequency calculation unit, used to calculate a first cut-off frequency of the first equivalent circular waveguide; A conversion coefficient determining unit, used to determine a conversion coefficient between the first regular hexagonal waveguide and the first equivalent circular waveguide; A waveguide calculation unit is used to calculate a second cutoff frequency of the first regular hexagonal waveguide according to the first cutoff frequency and the conversion coefficient.

9. An electronic device, characterized in that: The electronic device comprises a memory and a processor, the memory stores a computer program, and the processor implements the method according to any one of claims 1 to 7 when executing the computer program.

10. A computer-readable storage medium storing a computer program, characterized in that: When the computer program is executed by a processor, the method according to any one of claims 1 to 7 is implemented.

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