Pseudo-random dot pattern and method for creating the same

A geometric method for creating pseudo-random dot patterns with zigzag arrangements addresses inefficiencies in conventional methods, enabling uniform and predictable patterns for diverse applications.

JP7897471B2Active Publication Date: 2026-07-30DEXERIALS CORP
View PDF 12 Cites 0 Cited by

Patent Information

Authority / Receiving Office
JP · JP
Patent Type
Patents
Current Assignee / Owner
DEXERIALS CORP
Filing Date
2021-02-05
Publication Date
2026-07-30

AI Technical Summary

Technical Problem

Conventional methods for creating pseudo-random dot patterns are inefficient and lack ease in achieving desired number density and periodicity.

Method used

A pseudo-random dot pattern is created by arranging zigzag patterns of dots with alternating positive and negative slopes at predetermined intervals, periodically changing their positions, using geometric methods.

Benefits of technology

The method allows for easy creation of pseudo-random dot patterns with uniform distribution and predictable periodicity, preventing moiré patterns and ensuring dot visibility, suitable for various applications including light diffusion sheets and distance measurement.

✦ Generated by Eureka AI based on patent content.

Smart Images

  • Figure 0007897471000001
    Figure 0007897471000001
  • Figure 0007897471000002
    Figure 0007897471000002
  • Figure 0007897471000003
    Figure 0007897471000003
Patent Text Reader

Abstract

To manufacture a dummy random dot pattern easily by a geometric method.SOLUTION: A dummy random dot pattern 1A is manufactured by arranging a zigzag arrangement with a predetermined pitch in an x-direction while changing the position in a y-direction periodically, the zigzag arrangement being an arrangement in which an arrangement Rb and an arrangement Rc are repeatedly and separately provided in the y-direction in an xy flat surface, dots being arranged with a positive inclination in the arrangement Rb and dots being arranged with a negative inclination in the arrangement Rc.SELECTED DRAWING: Figure 1A-1
Need to check novelty before this filing date? Find Prior Art

Description

[Technical Field]

[0001] The present invention relates to a pseudo-random dot pattern and a method for creating the same. [Background technology]

[0002] A random dot pattern refers to a state where the arrangement of dots lacks regularity or reproducibility and is unpredictable, whereas a pseudo-random dot pattern appears to be a random dot pattern, but the arrangement of dots has regularity and reproducibility, making it predictable. Here, "dot" refers to a tiny point or structure.

[0003] Applying a pseudo-random dot pattern to a light diffusion sheet can prevent the generation of diffraction patterns (Patent Documents 1, 2, and 3). In this case, it is required that there is no overlap between the dots, the dot pattern is irregular enough not to produce moiré fringes, and the distribution of the dots is uniform enough not to be visually observable and has a predetermined number density.

[0004] Pseudo-random dot patterns are also used for distance measurement and other applications. For example, a depth camera (Microsoft Kinect®) that uses a projector with microlenses arranged in a pseudo-random dot pattern is well-known.

[0005] One method for creating a pseudo-random dot pattern is to generate the position of each dot using a linear feedback shift register, as described in Patent Document 1. Methods using molecular dynamics have also been proposed (Non-Patent Document 1). [Prior art documents] [Patent Documents]

[0006] [Patent Document 1] Japanese Patent Publication No. 2010-49267 [Patent Document 2] Special Publication No. 2006-502442 [Patent Document 3] Special Publication No. 2019-510996 [Non-patent literature]

[0007] [Non-Patent Document 1] Information Processing Society of Japan Research Report, Vol.2012-AL, No.8, 2012 / 5 / 14 [Overview of the Initiative] [Problems that the invention aims to solve]

[0008] Conventional methods for creating pseudo-random dot patterns have been approached with the need for a way to create pseudo-random dot patterns with desired number density and periodicity more quickly and easily.

[0009] In contrast, the present invention aims to enable the creation of pseudo-random dot patterns more easily using geometric methods. [Means for solving the problem]

[0010] The inventors of the present invention conceived that a pseudo-random dot pattern can be created by arranging a zigzag pattern R of dots extending in the y direction in the xy plane at a predetermined pitch in the x direction while periodically changing the position in the y direction, and thus completed the present invention.

[0011] In other words, the present invention provides a pseudo-random dot pattern in which, in the xy plane, a zigzag arrangement R is repeatedly provided at predetermined intervals in the y direction, with an arrangement Rb in which dots are arranged with a positive slope and an arrangement Rc in which dots are arranged with a negative slope, and this arrangement R is arranged at a predetermined pitch in the x direction while periodically changing its position in the y direction.

[0012] In addition, as a method for creating the pseudo-random dot pattern described above, the present invention provides a method for creating a pseudo-random dot pattern in which, in the xy plane, an array Rb in which dots are arranged with a positive slope and an array Rc in which dots are arranged with a negative slope are provided at a predetermined interval in the y direction, and a zigzag array R provided repeatedly is arranged at a predetermined pitch in the x direction while periodically changing the position in the y direction. This method for creating a pseudo-random dot pattern can also be said to be a method for designing a pseudo-random dot pattern.

[0013] Furthermore, the present invention provides a filler-containing film having a resin layer and a filler, in which the filler is arranged in a pseudo-random dot pattern in a plan view, and in this pseudo-random dot pattern, in the xy plane, an array Rb in which the filler is arranged with a positive slope and an array Rc in which the filler is arranged with a negative slope are provided at a predetermined interval in the y direction, and a zigzag array R provided repeatedly is arranged at a predetermined pitch in the x direction while periodically changing the position in the y direction.

Advantages of the Invention

[0014] The pseudo-random dot pattern of the present invention can be easily created by a geometric method. Therefore, by appropriately setting the size, number density, etc. of the dots according to the use of the pseudo-random dot pattern, the pseudo-random dot pattern of the present invention can be used for various products using the pseudo-random dot pattern. For example, when the pseudo-random dot pattern of the present invention is used in a light diffusion sheet, a light diffusion sheet can be obtained in which moiré patterns do not occur and unevenness of dots cannot be recognized even by microscopic observation. Also, when the pseudo-random dot pattern of the present invention is used in a dot projector, a pseudo-random dot pattern used for distance measurement or the like can be projected onto an object.

[0015] In addition, since the pseudo-random dot pattern of the present invention has a predetermined periodicity, it is possible to easily inspect whether the pseudo-random dot pattern is actually formed in a product having the pseudo-random dot pattern formed thereon.

Brief Description of the Drawings

[0016] [Figure 1A-1] Figure 1A-1 shows the pseudo-random dot pattern 1A of the embodiment. [Figure 1A-2] Figure 1A-2 is an enlarged view of the pseudo-random dot pattern 1A of the embodiment. [Figure 1B] Figure 1B is an explanatory diagram of the creation process of the pseudo-random dot pattern 1A of the embodiment. [Figure 2A] Figure 2A shows the pseudo-random dot pattern 1B of the embodiment. [Figure 2B] Figure 2B is an explanatory diagram of a method for creating the pseudo-random dot pattern 1B of the embodiment. [Figure 3A] Figure 3A shows the pseudo-random dot pattern 1C of the embodiment. [Figure 3B] Figure 3B is an explanatory diagram of a method for creating the pseudo-random dot pattern 1C of the embodiment. [Figure 4] Figure 4 shows the pseudo-random dot pattern 1D of the embodiment. [Figure 5] Figure 5 shows the pseudo-random dot pattern 1E of the embodiment. [Figure 6A] Figure 6A shows the pseudo-random dot pattern 1F of the embodiment. [Figure 6B] Figure 6B shows the pseudo-random dot pattern 1F of the embodiment (non-orthogonal coordinate display). [Figure 7] Figure 7 shows the pseudo-random dot pattern 1B1 of the embodiment. [Figure 8] Figure 8 shows the dot pattern 1X of the comparative example. [Figure 9] Figure 9 is a cross-sectional view of the filler-containing film 10A in which fillers are arranged in a dam dot pattern. [Figure 10] Figure 10 is a cross-sectional view of the filler-containing film 10B in which fillers are arranged in a dam dot pattern. [Figure 11] Figure 11 is a cross-sectional view of the filler-containing film 10C in which fillers are arranged in a dam dot pattern. [Modes for carrying out the invention]

[0017] A pseudo-random dot pattern according to one embodiment of the present invention and a method for creating it will be described in detail below with reference to the drawings. In each figure, the same reference numerals represent the same or equivalent components.

[0018] (Dot pattern) Figure 1A-1 is a pseudo-random dot pattern 1A of one embodiment of the present invention, and Figure 1A-2 is an enlarged view thereof. Figure 1B is an explanatory diagram of the process of creating Figure 1A-1.

[0019] In the method for creating a pseudo-random dot pattern of the present invention, first, a zigzag arrangement R is considered in the xy plane, where an arrangement Rb in which dots are arranged with a positive slope and an arrangement Rc in which dots are arranged with a negative slope are repeatedly provided at predetermined intervals in the y direction (Figure 1B). Next, the positions of this zigzag arrangement R in the y direction are periodically changed while arranging them at a predetermined pitch in the x direction (Figure 1A-1). In this case, a dot pattern in which the zigzag arrangement R is arranged at a predetermined pitch in the x direction may be considered in advance, and the positions of the zigzag arrangement R constituting this dot pattern in the y direction may be periodically changed.

[0020] More specifically, to create the pseudo-random dot pattern 1A shown in Figure 1A-1, we first consider an array Rb in which three dots 2 are arranged at an angle α with respect to the x-direction, and an array Rc in which three dots 2 are arranged in a direction reversed with respect to the x-direction. The arrangement direction of the dots 2 in array Rc is at an angle -α with respect to the x-direction (Figure 1B). The y-direction pitch L1 of the dots 2 in array Rb and the y-direction pitch L2 of the dots 2 in array Rc may be the same or different.

[0021] Next, consider a zigzag arrangement R (R1, R2, R3, R4, ...) in which sequences Rb and Rc are repeatedly arranged in the y direction with predetermined intervals L31 and L32 (Figure 1A-1). In the present invention, the zigzag arrangement R does not necessarily have to be arranged alternately, as long as sequences Rb and Rc are repeatedly arranged, but in this embodiment, sequences Rb and Rc are arranged alternately.

[0022] Furthermore, in the zigzag arrangement R, the x-direction displacement Ld1 and Ld2 (Figure 1A-2) between the nearest dots of adjacent arrangements Rb and Rc can be set as appropriate. In this embodiment, since the x-direction displacement between arrangements Rb and Rc, which are repeatedly provided in the y direction, is zero, Ld1 = Ld2 = Ld.

[0023] Next, we assume that the zigzag arrangement R is arranged in the x-direction at a predetermined pitch pa (Figure 1B). In this case, the position of the zigzag arrangement R in the y-direction is changed periodically (1 period: R1, R2, R3, R4, R5, R6), as shown by the dashed-dotted bent line F in Figure 1A-1, to obtain a pseudo-random dot pattern 1A.

[0024] In this invention, there are no particular restrictions on the number of dots constituting sequence Rb and sequence Rc. The lower limit for the number of dots constituting sequence Rb and sequence Rc is 2 each. On the other hand, as for the upper limit, it is preferable to have 10 or fewer dots, as it becomes difficult to grasp the repeating units if there are too many dots. For the convenience of designing the dot arrangement, it is preferable to have 4 or fewer dots constituting sequence Rb and sequence Rc, and more preferably 3 or fewer.

[0025] In this embodiment, the angle that array Rb makes with the x-direction is α, and the angle that array Rc makes with the x-direction is -α. Therefore, the array direction of array Rb and the array direction of array Rc are symmetric with respect to the x-axis. In this invention, the absolute values ​​of the angle that array Rb makes with the x-direction and the angle that array Rc makes with the x-direction do not need to be exactly the same. However, for design convenience, it is preferable that the ratio of the difference between the absolute values ​​of the angle that array Rb makes with the x-direction and the angle that array Rc makes with the x-direction to the absolute value of the angle that array Rb makes with the x-direction is 20% or less. This makes it easier to create a pseudo-random dot pattern with no overlap between dots and a uniform distribution of dots. On the other hand, by setting pitch L1, pitch L2, pitch pa, interval L3, etc., it is possible to create a pseudo-random dot pattern with a uniform distribution of dots even if the above ratio exceeds 20%. Furthermore, the absolute value of angle α is preferably between 5 and 85°, more preferably between 10 and 80°, and even more preferably between 15 and 75°, in order to ensure visual irregularity.

[0026] Furthermore, in this embodiment, the pitch pa in the x-direction of the zigzag arrangement R (Figure 1B) is constant when the position in the y-direction of the zigzag arrangement R arranged in the x-direction is constant. However, in the present invention, this pitch pa only needs to have regularity and does not necessarily need to be constant. For example, pitches pa1 and pa2 may appear at a predetermined period. However, for the convenience of designing a pseudo-random dot pattern, it is preferable to keep the pitch pa in the x-direction of the zigzag arrangement R constant when the position in the y-direction of the zigzag arrangement R arranged in the x-direction is constant.

[0027] In this invention, it is preferable that pa > Lx, where Lx is the x-axis amplitude of the bend that forms the smallest repeating unit Ru (Figure 1A-2) of the zigzag array R, which includes adjacent arrays Rb and Rc. This prevents the dots from overlapping even when the y-axis position of the zigzag array R is periodically changed when creating a pseudo-random dot pattern. On the other hand, if it is desired to make the dots denser in the x-axis direction, for example, pa ≤ Lx may be set.

[0028] The y-direction pitch L1 of dot 2 in array Rb, the y-direction pitch L2 of dot 2 in array Rc, and the x-direction pitch pa of the zigzag array R (assuming the y-direction position of the zigzag array R is constant as shown in Figure 1B) may be different from each other. It is preferable that they be equal in order to make the dot distribution uniform and to facilitate the design of a pseudo-random dot pattern. Here, "equal" means that the irregularity and uniformity of the ultimately obtained pseudo-random dot pattern are substantially equal.

[0029] When arrays Rb and Rc are arranged alternately in the y-direction, the spacing L3 in the y-direction can be formed even if the spacing L31 when array Rc is above array Rb and the spacing L32 when array Rb is above array Rc are the same or different. From the standpoint of making the variation of dots 2 uniform and simplifying the design of the pseudo-random dot pattern, it is preferable that these spacings L31 and L32 also have regularity, and it is especially preferable that they are constant and equal. Furthermore, the spacings L31 and L32 may be the same or different from the pitches L1, L2 and pitch pa mentioned above, but it is even more preferable from the standpoint of simplifying the design if the spacings L31 and L32 are constant and equal, and this spacing L3 (L31, L32) is equal to the pitches L1, L2 and pa mentioned above.

[0030] When periodically changing the position of the zigzag array R in the y direction, the pattern of the periodic change is not particularly limited. However, for the bending line forming the minimum repeating unit Ru of the zigzag array R, which includes adjacent arrays Rb and Rc, a bending line symmetrical to this with respect to y = x is formed, and this is defined as the bending line F0 corresponding to one period in the x direction of the zigzag array R. It is preferable to change the position of the zigzag array R in the y direction along this bending line F0 (Fig. 1A-2). This can make the dot arrangement in the repeating unit of the pseudo-random dot pattern approach a dot arrangement symmetrical to y = x, improving the uniformity of the dots. Note that the periodic bending line extending in the x-axis direction when periodically changing the position of the zigzag array R in the y direction is not limited to F as described later. When using a bending line symmetrical to the bending line forming the minimum repeating unit Ru of the zigzag array R or a deformed bending line thereof as the repeating unit of the periodic bending line extending in the x-axis direction, the axis of symmetry may be y ≠ x.

[0031] Also, when the maximum width of the bending line F in the y direction is Ly, it is preferable that Ly < L3 (L31, L32). This can make the minimum repeating unit Ru of the pseudo-random dot pattern a dot pattern included in a rectangle U with the x direction being the length L0x of one period of the zigzag array R and the y direction being the length L0y in the y direction of the minimum repeating unit Ru of the zigzag array R in the y direction (the pattern where the dots are filled in dark color in Figs. 1A-1 and 1A-2). Therefore, when forming a pseudo-random dot pattern on a product, it becomes easier to inspect the quality of the formation of the pseudo-random dot pattern on the product. In particular, it is preferable that the number of dots in the minimum repeating unit Ru of the zigzag array R, which includes adjacent arrays Rb and Rc, is equal to the number of arrays in one period in the x direction of the zigzag array R. In this case, if the pitch L1 = pitch L2 = interval L3 = pitch pa, the dot pattern that becomes the minimum repeating unit Ru of the pseudo-random dot pattern can be made a pattern symmetrical to y = x, which is preferable because it makes it even easier to inspect the quality of the formation of the pseudo-random dot pattern on the product.

[0032] (Variations of the dot pattern) The pseudo-random dot pattern 1B shown in Figure 2A consists of two dots 2 for each of the arrays Rb and Rc, with pitch L1 = pitch L2 = spacing L3 = pitch pa, displacement Ld / pitch pa = 0.25, and angle α = 60°.

[0033] To create this pseudo-random dot pattern 1B, first consider a zigzag arrangement R arranged in the x-direction with a pitch of pa, as shown in Figure 2B. Next, consider a bent line that forms the smallest repeating unit Ru of the zigzag arrangement R, and a bent line F0 that is symmetrical with respect to y=x. Then, sequentially move the zigzag arrangement R arranged with a pitch of pa along the bent line F0 in the y-direction, and repeat this process to obtain the pseudo-random dot pattern shown in Figure 2A.

[0034] Thus, by setting pitch L1 = pitch L2 = spacing L3 = pitch pa, and making the number of dots forming the smallest repeating unit Ru of the zigzag arrangement R equal to the number of dots in one period in the x-direction of the zigzag arrangement R, a pseudo-random dot pattern can be formed very easily.

[0035] The pseudo-random dot pattern 1C shown in Figure 3A consists of two dots 2 for each of the arrays Rb and Rc, with pitch L1 = pitch L2 = spacing L3 = pitch pa, displacement Ld / pitch pa = 0.5, and angle α = 60°.

[0036] In this method for creating the pseudo-random dot pattern 1C, we first consider a zigzag arrangement R arranged in the x-direction with a pitch pa, as shown in Figure 3B. We then sequentially move the zigzag arrangement R in the x-direction, changing its position in the y-direction along the bend line F0 which is symmetrical with respect to y=x to the bend line that forms the smallest repeating unit Ru of the zigzag arrangement R, and repeat this process.

[0037] In Figure 3B, the dot pattern is formed by alternating the arrangement of array Rb in the x-direction with a pitch of pa in the first region and array Rc in the x-direction with a pitch of pa in the second region, with the extension of the array axis of the first region also being the extension of the array axis of the second region. However, in this embodiment, the pseudo-random dot pattern shown in Figure 3A is formed by arranging zigzag arrays R in the x-direction with a pitch of pa while changing the position of the zigzag array R in the y-direction. Therefore, in this embodiment, the extension of the array axis of the first region where array Rb is arranged in the x-direction with a pitch of pa does not become the extension of the array axis of the second region where array Rc is arranged in the x-direction with a pitch of pa.

[0038] In the present invention, when changing the position of the zigzag arrangement R in the y direction, the reference bending line F0 is not limited to one that is symmetrical with respect to y=x to the bending line that forms the smallest repeating unit Ru of the zigzag arrangement R. For example, the pseudo-random dot pattern 1D shown in Figure 4 is obtained by arranging the zigzag arrangement R shown in Figure 3B in the x direction with a pitch pa, and moving it in the x direction while changing its position along a bending line F0 of the same shape as in Figure 2A.

[0039] The pseudo-random dot pattern 1E shown in Figure 5 is a variation of the pseudo-random dot pattern 1B shown in Figure 2A, in which a shift amount Le in the x-direction is introduced between the repeating zigzag arrangement R sequences Rb1 and Rb2, or between the repeating arrangements Rc1 and Rc2. In this arrangement, the shift amount in the x-direction between the nearest dots of adjacent arrangements Rb1 and Rc1 is Ld, while the shift amount in the x-direction between the nearest dots of adjacent arrangements Rc1 and Rb2 is zero.

[0040] The pseudo-random dot pattern 1F shown in Figure 6A is obtained by further increasing the x-direction displacement Le between sequences Rb1 and Rb2 compared to the pseudo-random dot pattern 1E shown in Figure 5. In this way, the direction in which the zigzag sequence R extends can be made oblique with respect to the y-axis depending on the magnitude of the displacement Le.

[0041] In this invention, the x and y coordinates are not limited to orthogonal coordinates. For example, Figure 6B shows the pseudo-random dot pattern 1F shown in Figure 6A above, displayed in non-orthogonal coordinates where the x and y directions are not orthogonal. For design convenience, it is preferable to use orthogonal coordinates.

[0042] (Dot configuration) In this invention, the dots arranged in the pseudo-random dot pattern refer to minute points or structures, and these minute points may include minute solids such as various fillers. The structure does not refer only to convex or raised areas, but may also be shapes such as concave or recessed areas. The composition of the dots can be appropriately determined depending on the object on which the pseudo-random dot pattern is provided. For example, in a moth-eye film, the dots can be nanostructures formed as concave or convex areas on a transparent resin substrate, and in an embossed film, they can be concave or convex areas on the order of microns. In a light-diffusing sheet, the dots can be light-diffusing fillers, in sheets with electrical functionality, sheets with electromagnetic shielding properties, etc., they can be conductive fillers, and in a heat-dissipating sheet, the thermal conductivity of the dots is adjusted according to the substrate holding the dots. In this case, the thermal conductivity may be different, and the surface area may be increased. In a dot projector, the dots can be microlenses.

[0043] The shape of the dot may be the shape of the filler itself, or the shape onto which the filler has been transferred. The shape of the dot may be spherical or a similar raised shape (a rounded shape), rod-shaped, or highly flexible. The tip may be pointed or rounded. It may also be a complex shape with a spherical shape and even smaller attached particles. Furthermore, the aspect ratio (length in the xy plane relative to height and depth) may be adjusted as appropriate according to the function, and there are no particular restrictions.

[0044] As a specific example of the dot configuration itself, for example, it can be made the same as in JP-A No. 2018-124595, JP-A No. 2016-29446, JP-A No. 2015-132689, WO2016 / 068166, WO2016 / 068171, WO2018 / 074318, WO2018 / 101105, WO2018 / 051799, etc.

[0045] (Dot size and number density) In the present invention, the size of dot 2 and the number density in the xy plane (number / mm 2 ) can be appropriately set according to the object provided with the pseudo-random dot pattern, and the size can usually be less than 1000 μm in diameter, for example, several tens of nm to several hundreds of μm, particularly 200 μm or less and not less than the visible light wavelength. The number density can usually be 10 number / mm 2 or more, or 30 number / mm 2 or more, and the upper limit can be 10 9 number / mm 2 or less, or 10 7 number / mm 2 or less, or 10 5 / mm 2 or less, and can be determined within the range of 70000 number / mm 2 or less. Also, the size of dot 2 may be less than several tens of nm. Particularly when the dot is a filler, the upper limit of the filler diameter is 200 μm or less, preferably 50 μm or less, more preferably 30 μm or less, which is desirable from the viewpoint of workability during production. Also, the lower limit of the filler diameter is 0.5 μm or more, preferably 0.8 μm or more, more preferably 1 μm or more, which is desirable from the viewpoint of inspection during production.

[0046] For example, when arranging nanostructures in a pseudo-random dot pattern on a transparent substrate to form an optical structure such as a moth-eye film or a structure due to unevenness, the number density of the nanostructures can be (10 to 1000)×10 6 number / mm 2

[0047] ​In the present invention, the filler may have optical functions (functions of optical elements such as light intensity adjustment, optical filtering, light diffusion, light shielding, and light wavelength conversion, or absorption ability of specific wavelengths of pigments), and may also have insulating properties, conductive properties, thermal conductivity, etc., and may also have properties used in surface treatment such as hydrophilicity or lipophilicity. When obtaining a functional film (or a functional surface) having various optical properties, electromagnetic shielding properties, conductive properties, heat dissipation properties, surface modification properties, etc., by arranging such fillers in a pseudo-random dot pattern in a resin layer, the number density of the fillers is 500,000 / mm 2 Below 350000 pieces / mm 2 Below, 10~100000 pieces / mm 2 , or 30-70,000 pieces / mm 2 This can be achieved. More specifically, for example, when constructing a light-diffusing sheet by arranging light-diffusing fillers in a pseudo-random dot pattern on a resin layer, the number density of light-diffusing fillers with a diameter of 1 μm or more can be 100 to 500,000 pieces / mm². 2 This can be done, preferably at a density of 10 to 100,000 pieces / mm 2 It can be done this way.

[0048] The number density of dots can be determined using a metallurgical microscope, electron microscope, etc. (e.g., SEM or TEM), depending on the size of the dots. A 3D surface measurement device may also be used depending on the size. Alternatively, it can be determined by measuring the observed image using image analysis software (e.g., WinROOF (Mitani Corporation) or A-Image-kun (registered trademark) (Asahi Kasei Engineering Corporation)).

[0049] (Applications of pseudo-random dot patterns) The pseudo-random dot pattern of the present invention may be used not only in various applications where a pseudo-random dot pattern has been conventionally provided, but also in applications where a pseudo-random dot pattern was not necessarily required. For example, the pseudo-random dot pattern of the present invention can be used in moth-eye films, dot projectors, light-diffusing sheets, etc., and can also be used in functional films having various functions such as light wavelength conversion, conductivity, heat dissipation, and electromagnetic shielding. It may also be used in household goods and their materials that utilize its surface properties. The manufacturing methods themselves can be the same as conventional methods. Furthermore, when providing a pseudo-random dot pattern to a predetermined object, it is not necessarily required to provide it to the entire surface of the object; for example, the pseudo-random dot pattern may be scattered like a sea-island structure.

[0050] Pseudo-random dot patterns are a form of regular arrangement, but they can also be used in applications that are intermediate between those using conventional random dot patterns and those using regular arrangements of dots in grid shapes such as rectangles and regular polygons. This includes methods for verifying the effects of random and regular arrangements in detail. For example, in nanostructures, wettability is sometimes controlled by controlling the aspect ratio and repeating pitch of the structure and the contact angle derived from the material, but it is expected that the direction of wettability can be controlled by using a pseudo-random dot pattern. In applications where properties depend on the surface shape on the nano to micrometer order (electrode materials, permeable membranes, etc.), life sciences, medical and bio applications (cell disruption, cell culture, etc.), improved functionality and the emergence of new functions can be expected by using pseudo-random dot patterns. Furthermore, the indentations and convex shapes arranged in the pseudo-random dot pattern can also be used as molds. In various applications of pseudo-random dot patterns, there may be other layers in addition to the layer with the pseudo-random dot pattern. For example, a film body with a pseudo-random dot pattern made of filler, or a layer with a pseudo-random dot pattern as an uneven structure on the film surface, may be attached to another article via an adhesive or bonding agent. Another layer may be interposed between the film body with the pseudo-random dot pattern and the other article. The manufacturing methods for these can be referenced from the previously mentioned publications.

[0051] Thus, the pseudo-random dot pattern can be developed in various ways depending on the substrate on which it is applied. The present invention also includes the application of the pseudo-random dot pattern of the present invention for various purposes.

[0052] (Method for manufacturing pseudo-random dot patterns) The method for manufacturing the pseudo-random dot pattern itself can be one of known methods. For example, moth-eye film and similar materials can be manufactured as described in WO2012 / 133943. When using fillers, they can be manufactured as described in WO2016 / 068166, WO2016 / 068171, WO2018 / 074318, WO2018 / 101105, and WO2018 / 051799.

[0053] Furthermore, as a method for manufacturing various sheets using minute solids such as light-diffusing fillers and insulating or conductive fillers, a resin layer of the target sheet is formed on a release substrate with a smooth surface, such as a PET film. Meanwhile, a mold is made in which the recesses are formed in a pseudo-random dot pattern. Resin is poured into this mold to create a resin mold, minute solids are filled into the recesses of this resin mold, the aforementioned resin layer is placed over them, the minute solids are transferred to this resin layer, the minute solids are pressed into the resin layer, and if necessary, more resin layers are laminated to obtain a sheet in which the minute solids are arranged in a pseudo-random dot pattern when viewed from above. The sheet with minute solids provided in the resin layer can also be used to perform a process of providing minute solids on the surface of another object. As for more specific methods for manufacturing the filler-containing film itself, for example, the methods described in WO2016 / 068171, WO2018 / 74318, WO2018 / 101105, WO2018 / 051799, etc.

[0054] This allows for the creation of a filler-containing film 10A with a layer configuration in which, for example, as shown in Figure 9, a single layer of filler (micro-solids) 2 is arranged in a random dot pattern on or near the surface of an insulating resin layer 3, and a low-viscosity resin layer 4 is laminated on top of it. Alternatively, as shown in Figure 10, a filler-containing film 10B may be obtained with a layer configuration in which the low-viscosity resin layer 4 is omitted. On the other hand, as shown in Figure 11, a filler-containing film 10C may be obtained in which the filler (micro-solids) 2 is held in the through-holes 3h of an insulating film 3, which are formed in a random dot pattern, and low-viscosity resin layers 4A and 4B are laminated on the upper and lower surfaces. In this case, the insulating film 3 is made of a resin layer that is less susceptible to deformation due to heating and pressurizing than the low-viscosity resin layers 4A and 4B. The relationship between the physical properties of the laminated resin layers is not limited to these and can be appropriately changed depending on the purpose.

[0055] Furthermore, there are no particular limitations on the smoothness of the surface on which the pseudo-random dot pattern of the present invention is applied. It may be smooth, have irregularities, or have undulations.

[0056] A pseudo-random dot pattern may be applied to a smooth surface to create a wavy texture, or a pseudo-random dot pattern may be applied to a plane that already has a wavy texture. The wavy texture only needs to be such that the pseudo-random dot pattern can be identified; for example, there may be wavy textures within one period in the x or y direction in Figure 1A-1, or multiple periods may be contained within a single wavy texture.

[0057] The material of the substrate surface on which the pseudo-random dot pattern is provided is not particularly limited; for example, it may be a known resin, or an inorganic material such as metal, alloy, glass, or ceramic. It may also be an organic-inorganic hybrid or a surface in which organic and inorganic materials are mixed (for example, a transparent conductive film on which ITO wiring is provided). As a method for providing the pseudo-random dot pattern on a flat resin film, the method described in the previously cited publication can be used. [Examples]

[0058] The present invention will be specifically described below with reference to examples. Example 1 The pseudo-random dot pattern shown in Figure 2A has a dot diameter of 3 μm, L1=L2=L3=pa=8 μm, and a dot number density of 16,000 dots / mm². 2 It was created as such. The dot pattern 1B1 in this case is shown in Figure 7.

[0059] Comparative Example 1 The dot pattern shown in Figure 2B has a diameter of 3 μm for dot 2, L1=L2=L3=pa=8 μm, and a number density of 16,000 dots / mm². 2 It was created as such. The dot pattern 1X in this case is shown in Figure 8.

[0060] By comparing Figures 7 and 8, it can be seen that the pattern of the embodiment is superior in terms of visual irregularity. [Explanation of Symbols]

[0061] 1A, 1B, 1B1, 1C, 1D, 1E, 1F Pseudo-random dot pattern 2 dots, filler 3. Insulating resin layer, insulating film 4, 4A, 4B Low viscosity resin layer 10A, 10B, 10C Filler-containing films F bend line F0 is a bent line that forms the smallest repeating unit Ru of the zigzag arrangement R, and a bent line that is symmetric with respect to y=x. The pitch of the zigzag arrangement R in the x-direction when the position of the zigzag arrangement R in the y-direction is constant. R zigzag arrangement Ru: The smallest repeating unit of the zigzag arrangement R.

Claims

1. A film body in which dots are arranged in a pseudo-random dot pattern in the xy plane, In the aforementioned pseudo-random dot pattern, an array Rb in which dots are arranged with a positive slope and an array Rc in which dots are arranged with a negative slope are spaced at a predetermined interval in the y direction, and a repeating zigzag array R is arranged at a predetermined pitch in the x direction while periodically changing its position in the y direction. Array Rc is arranged in a direction that is the reverse of the array direction of array Rb with respect to the x direction. A dot is a tiny point or structure arranged in a pseudo-random dot pattern. The aforementioned structure is convex, raised, concave, recessed, or concave-convex, The aforementioned minute dots are fillers arranged in a resin layer, forming a film body.

2. The film body according to claim 1, wherein the pitch pa in the x-direction of the zigzag arrangement R is constant, assuming that the position in the y-direction of the zigzag arrangement R arranged in the x-direction is constant.

3. The film body according to claim 1 or 2, wherein the spacing L3 in the y direction between array Rb and array Rc is constant.

4. A film body in which dots are arranged in a pseudo-random dot pattern in the xy plane, In the aforementioned pseudo-random dot pattern, an array Rb in which dots are arranged with a positive slope and an array Rc in which dots are arranged with a negative slope are spaced at a predetermined interval in the y direction, and a repeating zigzag array R is arranged at a predetermined pitch in the x direction while periodically changing its position in the y direction. The y-direction spacing L3 between array Rb and array Rc is constant. The y-direction pitch L1 of the dots in array Rb, the y-direction pitch L2 of the dots in array Rc, and the interval L3 are equal. A dot is a tiny point or structure arranged in a pseudo-random dot pattern. The aforementioned structure is convex, raised, concave, recessed, or concave-convex, The aforementioned minute dots are fillers arranged in a resin layer, forming a film body.

5. A film body in which dots are arranged in a pseudo-random dot pattern in the xy plane, In the aforementioned pseudo-random dot pattern, an array Rb in which dots are arranged with a positive slope and an array Rc in which dots are arranged with a negative slope are spaced at a predetermined interval in the y direction, and a repeating zigzag array R is arranged at a predetermined pitch in the x direction while periodically changing its position in the y direction. Assuming that the position in the y-direction of a zigzag arrangement R arranged in the x-direction is constant, the pitch pa in the x-direction of the zigzag arrangement R is constant. The y-direction spacing L3 between array Rb and array Rc is constant. The pitch pa, the y-direction pitch L1 of the dots in array Rb, the y-direction pitch L2 of the dots in array Rc, and the interval L3 are all equal. A dot is a tiny point or structure arranged in a pseudo-random dot pattern. The aforementioned structure is convex, raised, concave, recessed, or concave-convex, The aforementioned minute dots are fillers arranged in a resin layer, forming a film body.

6. A film body in which dots are arranged in a pseudo-random dot pattern in the xy plane, In the aforementioned pseudo-random dot pattern, an array Rb in which dots are arranged with a positive slope and an array Rc in which dots are arranged with a negative slope are spaced at a predetermined interval in the y direction, and a repeating zigzag array R is arranged at a predetermined pitch in the x direction while periodically changing its position in the y direction. The y-direction spacing L3 between array Rb and array Rc is constant. When the zigzag arrangement R is arranged in the x direction, the maximum width Ly in the y direction of the bent line indicating the position of the zigzag arrangement R is less than the interval L3. A dot is a tiny point or structure arranged in a pseudo-random dot pattern. The aforementioned structure is convex, raised, concave, recessed, or concave-convex, The aforementioned minute dots are fillers arranged in a resin layer, forming a film body.

7. A film body in which dots are arranged in a pseudo-random dot pattern in the xy plane, In the aforementioned pseudo-random dot pattern, an array Rb in which dots are arranged with a positive slope and an array Rc in which dots are arranged with a negative slope are spaced at a predetermined interval in the y direction, and a repeating zigzag array R is arranged at a predetermined pitch in the x direction while periodically changing its position in the y direction. In the zigzag arrangement R, the number of dots constituting the smallest repeating unit is equal to the number of dots in the x-direction of the zigzag arrangement R that corresponds to one period of change in position in the y-direction. A dot is a tiny point or structure arranged in a pseudo-random dot pattern. The aforementioned structure is convex, raised, concave, recessed, or concave-convex, The aforementioned minute dots are fillers arranged in a resin layer, forming a film body.

8. A film body in which dots are arranged in a pseudo-random dot pattern in the xy plane, In the aforementioned pseudo-random dot pattern, an array Rb in which dots are arranged with a positive slope and an array Rc in which dots are arranged with a negative slope are spaced at a predetermined interval in the y direction, and a repeating zigzag array R is arranged at a predetermined pitch in the x direction while periodically changing its position in the y direction. In a zigzag arrangement R, the dots that constitute the smallest repeating unit are arranged in the x-direction while changing their position in the y-direction by one period, and this arrangement of dots is symmetrical with respect to y = x. A dot is a tiny point or structure arranged in a pseudo-random dot pattern. The aforementioned structure is convex, raised, concave, recessed, or concave-convex, The aforementioned minute dots are fillers arranged in a resin layer, forming a film body.

9. The film body according to claim 2, wherein the maximum width Lx in the x-direction of the bent lines forming the smallest repeating unit of the zigzag arrangement R is smaller than the pitch pa.

10. A film body according to any one of claims 1 to 9, wherein the dot fillers have optical functions and function as an optical film.

11. The film body according to any one of claims 1 to 9, wherein the dot structure is a nanostructure formed as a recess or protrusion arranged on a transparent substrate.

12. A method for manufacturing a film body in which dots are arranged in a pseudo-random dot pattern in the xy plane, A zigzag arrangement R, consisting of an array Rb with dots arranged in a positive slope and an array Rc with dots arranged in a negative slope, is repeatedly provided at predetermined intervals in the y direction. This zigzag arrangement R is then arranged at a predetermined pitch in the x direction while periodically changing its position in the y direction, and the array Rc is arranged in a direction that is the reverse of the arrangement direction of array Rb with respect to the x direction. A dot is a tiny point or structure arranged in a pseudo-random dot pattern. The aforementioned structure is convex, raised, concave, recessed, or concave-convex, A method for manufacturing a film body, wherein the aforementioned minute dots are fillers arranged in a resin layer.

13. A structure in which dots are arranged in a pseudo-random dot pattern in the xy plane, In the aforementioned pseudo-random dot pattern, an array Rb in which dots are arranged with a positive slope and an array Rc in which dots are arranged with a negative slope are spaced at a predetermined interval in the y direction, and a repeating zigzag array R is arranged at a predetermined pitch in the x direction while periodically changing its position in the y direction. Array Rc is arranged in a direction that is the reverse of the array direction of array Rb with respect to the x direction. A dot is a tiny point or structure arranged in a pseudo-random dot pattern. The aforementioned structure is convex, raised, concave, recessed, or concave-convex, A structure in which the aforementioned minute dots are fillers arranged in a resin layer.

14. The structure according to claim 13, wherein the pitch pa in the x-direction of the zigzag arrangement R is constant, assuming that the position in the y-direction of the zigzag arrangement R arranged in the x-direction is constant.

15. The structure according to claim 13 or 14, wherein the spacing L3 in the y direction between array Rb and array Rc is constant.

16. A structure in which dots are arranged in a pseudo-random dot pattern in the xy plane, In the aforementioned pseudo-random dot pattern, an array Rb in which dots are arranged with a positive slope and an array Rc in which dots are arranged with a negative slope are spaced at a predetermined interval in the y direction, and a repeating zigzag array R is arranged at a predetermined pitch in the x direction while periodically changing its position in the y direction. The y-direction spacing L3 between array Rb and array Rc is constant. The y-direction pitch L1 of the dots in array Rb, the y-direction pitch L2 of the dots in array Rc, and the interval L3 are equal. A dot is a tiny point or structure arranged in a pseudo-random dot pattern. The aforementioned structure is convex, raised, concave, recessed, or concave-convex, A structure in which the aforementioned minute dots are fillers arranged in a resin layer.

17. A structure in which dots are arranged in a pseudo-random dot pattern in the xy plane, In the aforementioned pseudo-random dot pattern, an array Rb in which dots are arranged with a positive slope and an array Rc in which dots are arranged with a negative slope are spaced at a predetermined interval in the y direction, and a repeating zigzag array R is arranged at a predetermined pitch in the x direction while periodically changing its position in the y direction. Assuming that the position in the y-direction of a zigzag arrangement R arranged in the x-direction is constant, the pitch pa in the x-direction of the zigzag arrangement R is constant. The y-direction spacing L3 between array Rb and array Rc is constant. The pitch pa, the y-direction pitch L1 of the dots in array Rb, the y-direction pitch L2 of the dots in array Rc, and the interval L3 are all equal. A dot is a tiny point or structure arranged in a pseudo-random dot pattern. The aforementioned structure is convex, raised, concave, recessed, or concave-convex, A structure in which the aforementioned minute dots are fillers arranged in a resin layer.

18. A structure in which dots are arranged in a pseudo-random dot pattern in the xy plane, In the aforementioned pseudo-random dot pattern, an array Rb in which dots are arranged with a positive slope and an array Rc in which dots are arranged with a negative slope are spaced at a predetermined interval in the y direction, and a repeating zigzag array R is arranged at a predetermined pitch in the x direction while periodically changing its position in the y direction. The y-direction spacing L3 between array Rb and array Rc is constant. When the zigzag arrangement R is arranged in the x direction, the maximum width Ly in the y direction of the bent line indicating the position of the zigzag arrangement R is less than the interval L3. A dot is a tiny point or structure arranged in a pseudo-random dot pattern. The aforementioned structure is convex, raised, concave, recessed, or concave-convex, A structure in which the aforementioned minute dots are fillers arranged in a resin layer.

19. A structure in which dots are arranged in a pseudo-random dot pattern in the xy plane, In the aforementioned pseudo-random dot pattern, an array Rb in which dots are arranged with a positive slope and an array Rc in which dots are arranged with a negative slope are spaced at a predetermined interval in the y direction, and a repeating zigzag array R is arranged at a predetermined pitch in the x direction while periodically changing its position in the y direction. In the zigzag arrangement R, the number of dots constituting the smallest repeating unit is equal to the number of dots in the x-direction of the zigzag arrangement R that corresponds to one period of change in position in the y-direction. A dot is a tiny point or structure arranged in a pseudo-random dot pattern. The aforementioned structure is convex, raised, concave, recessed, or concave-convex, A structure in which the aforementioned minute dots are fillers arranged in a resin layer.

20. A structure in which dots are arranged in a pseudo-random dot pattern in the xy plane, In the aforementioned pseudo-random dot pattern, an array Rb in which dots are arranged with a positive slope and an array Rc in which dots are arranged with a negative slope are spaced at a predetermined interval in the y direction, and a repeating zigzag array R is arranged at a predetermined pitch in the x direction while periodically changing its position in the y direction. In a zigzag arrangement R, the dots that constitute the smallest repeating unit are arranged in the x-direction while changing their position in the y-direction by one period, and this arrangement of dots is symmetrical with respect to y = x. A dot is a tiny point or structure arranged in a pseudo-random dot pattern. The aforementioned structure is convex, raised, concave, recessed, or concave-convex, A structure in which the aforementioned minute dots are fillers arranged in a resin layer.

21. The structure according to claim 14, wherein the maximum width Lx in the x-direction of the bent line forming the smallest repeating unit of the zigzag arrangement R is smaller than the pitch pa.

22. The structure according to any one of claims 13 to 21, wherein the dot filler has an optical function.

23. The structure according to any one of claims 13 to 21, wherein the dot structure is a nanostructure formed as a recess or protrusion arranged on a transparent substrate.

24. A method for manufacturing a structure in which dots are arranged in a pseudo-random dot pattern in the xy plane, A zigzag arrangement R, consisting of an array Rb with dots arranged in a positive slope and an array Rc with dots arranged in a negative slope, is repeatedly provided at predetermined intervals in the y direction. This zigzag arrangement R is then arranged at a predetermined pitch in the x direction while periodically changing its position in the y direction, and the array Rc is arranged in a direction that is the reverse of the arrangement direction of array Rb with respect to the x direction. A dot is a tiny point or structure arranged in a pseudo-random dot pattern. The aforementioned structure is convex, raised, concave, recessed, or concave-convex, A method for manufacturing a structure, wherein the aforementioned minute dots are fillers arranged in a resin layer.