JP2019002974A - Calculation method for hologram, optical film, and production method of optical film - Google Patents

Abstract

To suppress increase in a calculation amount or calculation time even when a larger hologram is to be produced, and to suppress occurrence of mismatch in a viewing area on a boundary of a plurality of holograms even when a plurality of holograms having depth information is displayed in a multi-face layout.SOLUTION: An optical film 10 is provided, including a plurality of recording faces 12 each composed of a plurality of unit blocks, in which each recording face 12 has: a phase angle recording region 16 including unit blocks for recording phase angles calculated by a phase component of each beam from a plurality of regeneration points for regenerating a regeneration image of the corresponding hologram; and a phase angle non-recording region 18 including unit blocks where a phase angle is not recorded. A first recording face 12A and a second recording face 12B are partially overlapped in such a manner that a phase angle recording region 16A of the first recording face 12A and a phase angle recording region 16B of the second recording face 12B disposed adjacent to the first recording face 12A are alternately arranged and prevented from overlapping each other.SELECTED DRAWING: Figure 8

Description

  The present invention relates to a calculation method for calculating information for reproducing a hologram, an optical film for recording the information, and a method for manufacturing the optical film.

  An optical film controlled based on light interference calculated by a computer is a computer-generated hologram.

  To date, this type of optical film has been used in various applications such as securities, card media and personal authentication media.

  The light interference for this type of optical film is calculated by a calculator. With respect to computers, in recent years, the recording size of recording media such as memory and hard disks has improved. However, when calculating a large hologram, the hologram size that can be calculated from the upper limit of the computer memory or hard disk is limited.

  For example, when a computer hologram having a size of 10 mm □ is produced, assuming that the drawing is performed by an electron beam drawing apparatus or the like, and the drawing resolution of the computer hologram is about 100 nm, the size of the computer hologram is 100000 pixels □ as image data. Become. The memory required for this size is about 9.3 GB when 1 pixel is 1 byte.

Japanese Patent No. 3608747

  However, since the memory necessary for the size as described above increases in proportion to the size of the computer generated hologram, when the size increases and the upper limit of the memory usable in the computer is exceeded, the light interference can no longer be calculated. There is a fear.

  In order to cope with this, a technique for performing calculation without using the memory of the computer as much as possible has been studied. However, with this technique, it is necessary to record the calculation results during the calculation on a large recording medium such as a hard disk. This utilizes the fact that the hard disk is a huge recording medium compared to the memory.

  However, when the memory is not used as much as possible, the number of times of data transfer between the memory and the hard disk becomes enormous, and the calculation time may become enormous. Since computer holograms originally have a huge calculation time, it is practically fatal to increase the calculation time.

  As described above, there is a problem that there is no effective countermeasure against the calculation amount and the calculation time which increase with the increase in size of the hologram.

  On the other hand, along with the increase in size of the hologram, apart from the problems related to the calculation as described above, there are also the following quality problems.

  For example, according to Patent Document 1, a technique for increasing the overall size of recording by disposing a finite-size hologram on multiple sides without gaps is disclosed. According to this technology, it is established when there is no depth information in the reconstructed image, but when there is depth information in the reconstructed image, inconsistency in the viewing zone appears at the boundary when multi-faceting is performed. In addition, it is impossible to connect the reproduced images reproduced from the hologram without a sense of incongruity.

  This inconsistency will be described with reference to FIGS. 41A and 41B.

  FIG. 41A is a schematic diagram showing an example in which two hologram images 26A and 26B for reproducing a reproduction image with a depth are simply arranged adjacent to each other so as to be multifaceted.

  The hologram images 26A and 26B are reproduced according to the phase angle recorded on the recording surface 120 provided on the surface of the substrate 14 of the optical film 100.

  The left hologram image 26A is reproduced as “A” by a large number of reproduction points 22A, and the right hologram image 26B is reproduced as “B” by a large number of reproduction points 22B.

  In this way, the size of the hologram can be increased by simply connecting a plurality of holograms adjacent to each other. However, the appearance of the joined hologram images 26A and 26B at the boundary 30 is as follows. Become.

  That is, as shown in FIG. 41B, the reproduction point 22a existing on the boundary 30 between the left hologram image 26A and the right hologram image 26B is one of the reproduction points 22A reproduced from the left hologram image 26A. It is. Therefore, the parallax in the X direction is reproduced from the range of the angle w where the two arrows E and F shown in FIG. 2B are expected, for example, but cannot be confirmed from the other range. That is, the reproduced image cannot be observed on the line connecting the reproduction point 22a, which is the point light source of interest, and the hologram image 26B on the right side.

  This is also true for the reproduction point 22b on the boundary between the left hologram image 26A and the right hologram image 26B, and on the boundary 30 between the left hologram image 26A and the right hologram image 26B. Regeneration is inconsistent in this case.

  As described above, in order to increase the size of the hologram, even if a plurality of holograms having depth information are simply connected adjacently and arranged, the inconsistency on the viewing zone is generated at the boundary 30. There's a problem.

  The present invention has been made in view of such circumstances. Even when a hologram is enlarged, an increase in calculation amount and calculation time is suppressed, and a plurality of holograms having depth information are displayed in a multifaceted manner. Even so, it is an object of the present invention to provide a calculation method, an optical film, and an optical film manufacturing method for preventing the occurrence of misalignment in the viewing zone at the boundary portions of a plurality of holograms.

  In order to achieve the above object, the present invention takes the following measures.

  The invention of claim 1 is an optical film provided with a plurality of recording surfaces comprising a plurality of unit blocks, wherein each recording surface is for reproducing a reproduction image of each hologram of the plurality of unit blocks. A phase angle recording area including a unit block for recording a phase angle calculated based on a phase component of each light from a plurality of reproduction points; a phase angle non-recording area including a unit block in which the phase angle is not recorded; The phase angle recording area of the first recording surface of the plurality of recording surfaces, and the second recording disposed adjacent to the first recording surface of the plurality of recording surfaces The phase angle recording areas of the surface are partially and alternately arranged to partially overlap the first recording surface and the second recording surface.

  According to a second aspect of the present invention, in the optical film according to the first aspect, the areas of the first recording surface and the second recording surface are the same, and the phase angle recording area on the first recording surface is the same. The area occupancy of the phase angle recording area on the second recording surface is ½ at maximum, and the first recording surface and the second recording surface Overlaps up to half the area.

  The invention of claim 3 is an optical film provided with a plurality of recording surfaces composed of a plurality of unit blocks, each of the recording surfaces for reproducing a reproduction image of each hologram of the plurality of unit blocks. A phase angle recording area including a unit block for recording a phase angle calculated based on a phase component of each light from a plurality of reproduction points; a phase angle non-recording area including a unit block in which the phase angle is not recorded; And the phase angle recording area of the first recording surface of the plurality of recording surfaces and the second recording surface of the plurality of recording surfaces that overlap the first recording surface. The phase angle recording areas are partially arranged alternately.

  According to a fourth aspect of the present invention, in the optical film according to the third aspect, the first recording surface and the second recording surface have the same area, and the phase angle recording area in the first recording surface The area occupancy of the phase angle recording region on the second recording surface is ½ at maximum.

  According to a fifth aspect of the present invention, in the optical film according to the first or second aspect, the plurality of recording surfaces are N (N is an integer of 3 or more) recording surfaces, The phase angle recording area and the phase angle recording area of the third recording surface arranged adjacent to the second recording surface among the plurality of recording surfaces are partially arranged alternately, The N recording surfaces are arranged in one direction so that the second recording surface and the third recording surface are partially overlapped.

  According to a sixth aspect of the present invention, in the optical film according to the first aspect, the plurality of recording surfaces are N (N is an integer of 4 or more) recording surfaces, the first recording surface, A second recording surface; a third recording surface disposed adjacent to the first recording surface among the plurality of recording surfaces; and the second recording surface of the plurality of recording surfaces; The fourth recording surface arranged adjacent to the third recording surface is arranged in a grid of 2 rows and 2 columns, the phase angle recording area of the third recording surface, and the first recording surface The phase angle recording area of the recording surface and the phase angle recording area of the second recording surface are partially and alternately arranged, and the third recording surface is defined as the first recording surface and the second recording surface. And partially overlapping with the recording surface of the fourth recording surface, the phase angle recording area of the fourth recording surface and the phase angle recording area of the first recording surface. And the phase angle recording area of the second recording surface and the phase angle recording area of the third recording surface are arranged alternately and partially, and the fourth recording surface is connected to the first recording surface. The recording surface, the second recording surface, and the third recording surface are partially overlapped.

  According to a seventh aspect of the present invention, in the optical film of the sixth aspect, the areas of the N recording surfaces are the same, and the area occupancy ratio of the phase angle recording region on each of the recording surfaces is a maximum of 1/4. It is.

  The invention according to claim 8 is the optical film according to claim 3, wherein the plurality of recording surfaces are N (N is an integer of 3 or more) recording surfaces, and the first of the plurality of recording surfaces. The phase angle recording area of the third recording surface is partially arranged alternately with the phase angle recording area of the first recording surface and the phase angle recording area of the second recording surface, The N recording surfaces are all overlapped such that the recording surface overlaps the first recording surface and the recording surface.

  According to a ninth aspect of the present invention, in the optical film according to the eighth aspect, the areas of the N recording surfaces are the same, and the area occupancy of the phase angle recording area on each of the recording surfaces is 1 / N at the maximum. It is.

  A tenth aspect of the present invention is the optical film according to any one of the first to ninth aspects, wherein each of the recording surfaces is a plurality of calculations defined based on a viewing angle from each of the corresponding reproduction points. The phase angle calculated with respect to each unit block included in the phase angle recording area included in each calculation element section is recorded in each unit block.

  According to an eleventh aspect of the present invention, in the optical film according to any one of the first to tenth aspects, information other than the phase angle is recorded in the phase angle non-recording area.

  According to a twelfth aspect of the invention, in the optical film of the eleventh aspect, the information other than the phase angle is information including at least one of light scattering, reflection, and diffraction characteristics.

  According to a thirteenth aspect of the present invention, in the optical film according to any one of the first to twelfth aspects, the phase angle recording area has a shape of a graphic representing a character or a pattern.

  According to a fourteenth aspect of the present invention, in the optical film according to the thirteenth aspect, the graphic is used as personal authentication information.

  According to a fifteenth aspect of the present invention, in the optical film according to the tenth aspect, the calculation element sections correspond to each of the plurality of reproduction points on a one-to-one basis, and exist in the same number as the plurality of reproduction points. The calculation element sections are not overlapped on the recording surface.

  According to a sixteenth aspect of the present invention, in the optical film according to the fifteenth aspect, the plurality of reproduction points exist on the same plane parallel to the corresponding recording surface.

  According to a seventeenth aspect of the present invention, in the optical film according to the fifteenth or sixteenth aspect, each of the plurality of calculation element sections that do not overlap on the recording surface is colored using a different color.

  The invention according to claim 18 is the optical film according to any one of claims 1 to 17, wherein the phase angle is converted into the uneven height of the recording surface, and the converted uneven height is obtained. Is formed in the corresponding unit block, thereby recording the phase angle in the corresponding unit block.

  The invention according to claim 19 is the optical film according to any one of claims 1 to 18, wherein the change in the phase angle is converted into a void corresponding to a change amount from the refractive index of the recording surface, The phase angle is recorded in the corresponding unit block by embedding the converted void in the corresponding unit block.

  The invention of claim 20 is a method for producing an optical film comprising a plurality of recording surfaces comprising a plurality of unit blocks, wherein the first recording surface of the plurality of recording surfaces includes the plurality of unit blocks. A first recording area including a unit block for recording a phase angle calculated based on a phase component of each light from a plurality of first reproduction points for reproducing a reproduction image of the first hologram A second for reproducing a reproduction image of the second hologram of the plurality of unit blocks on a second recording surface adjacent to the first recording surface of the plurality of recording surfaces. A second recording area including a unit block for recording a phase angle calculated based on the phase component of each light from the plurality of reproduction points, the first recording area, and the second recording area The recording areas are partially arranged alternately The first recording surface and the second recording surface are partially overlapped, and the first recording surface is determined based on a viewing angle from each of the first plurality of reproduction points. A plurality of first calculation element sections, and the phase angle calculated for each unit block included in the first recording area included in the first plurality of calculation element sections, Recording in a unit block, and defining, on the second recording surface, a second plurality of calculation element sections respectively determined based on a viewing angle from each of the second plurality of reproduction points; The phase angle calculated for each unit block included in the second recording area included in the plurality of calculation element sections is recorded in each unit block.

  The invention of claim 21 is a calculation method for reproducing a reproduction image of a hologram, wherein the reproduction of the first hologram is performed on a first recording surface provided on an optical film and composed of a plurality of unit blocks. The phase angle can be recorded among the unit blocks included in the first plurality of calculation element sections determined based on the viewing angle from each of the first plurality of reproduction points for reproducing the image. Further, for a plurality of predetermined first recording unit blocks, a phase angle is calculated based on a phase component of light from a corresponding reproduction point, and the first recording surface and Field of view from each of a plurality of second reproduction points for reproducing a reproduction image of the second hologram on a second recording surface that is provided so as to partially overlap and is constituted by a plurality of unit blocks. Based on corner Among the unit blocks included in the second plurality of calculation element sections to be determined, a predetermined plurality of phase angles that can be recorded and do not overlap with the plurality of first recording unit blocks For the second recording unit block, the phase angle is calculated based on the phase component of the light from the corresponding reproduction point.

  According to the optical film of claim 1, since the boundary between the adjacent hologram images is eliminated by partially overlapping the two adjacent recording surfaces, there is no visual field mismatch between the hologram images. It becomes possible to do.

  According to the optical film of claim 2, the phase angle recording area of the first recording surface and the second recording surface while partially overlapping the adjacent first recording surface and the second recording surface. Therefore, it is possible to eliminate the viewing area mismatch between the hologram images.

  According to the optical film of the third aspect, even if two hologram images are displayed in two layers, it is possible to eliminate a visual field mismatch between the hologram images.

  According to the optical film of the fourth aspect, even when the first recording surface and the second recording surface are arranged hierarchically, the phase angle recording area of the first recording surface and the second recording surface Since the phase angle recording areas on the surface are partially arranged alternately, it is possible to eliminate the viewing area mismatch between the hologram images.

  According to the optical film of claim 5, even when N recording surfaces are arranged in a line, a boundary between adjacent hologram images is obtained by partially overlapping two adjacent recording surfaces. Therefore, it is possible to eliminate the viewing area mismatch between the hologram images.

  According to the optical film of claim 6, even when N recording surfaces are arranged in a lattice pattern on a flat surface, adjacent two recording surfaces are partially overlapped to each other to thereby form adjacent holograms. Since there is no boundary between the images, it is possible to eliminate the visual field mismatch between the hologram images.

  According to the optical film of the seventh aspect, one recording surface can be partially overlapped with three adjacent recording surfaces without overlapping the phase angle recording area of any recording surface. Thus, it is possible to eliminate the viewing area mismatch between the hologram images.

  According to the optical film of the eighth aspect, even when N hologram images are displayed in a hierarchical manner, it is possible to eliminate a visual field mismatch between the hologram images.

  According to the optical film of the ninth aspect, since one recording surface can be overlapped with another recording surface without overlapping the phase angle recording area of any recording surface, It is possible to eliminate inconsistencies in the viewing zone.

  According to the optical film of the tenth aspect, it is possible to shorten the calculation time by limiting the region in which the phase angle is calculated to the phase angle recording region in the calculation element section.

  According to the optical film of the eleventh aspect, by recording information other than the phase angle in the phase angle non-recording area, it is possible to control other than the phase component of light on the phase angle non-recording area.

  According to the optical film of claim 12, information other than the phase angle recorded in the phase angle non-recording area is set to at least one of light scattering, reflection, and diffraction characteristics, whereby different light effects are obtained. It is possible to control various kinds of light and realize a complicated visual effect.

  According to the optical film of the thirteenth aspect, it is possible to give a three-dimensional dynamic effect to a character or a picture by making the phase angle recording area a shape of a graphic representing the character or the picture.

  According to the optical film of the fourteenth aspect, a figure can be used as personal authentication information.

  According to the optical film of the fifteenth aspect, since the calculation element sections do not overlap, it is possible to maximize the contrast of the hologram image at the reproduction point.

  According to the optical film of the sixteenth aspect, since the distances between the plurality of reproduction points and the recording surface are equal, if the phase angle is calculated for one reproduction point, a copy of the calculation result is copied to the phase for the other reproduction point. Since the calculation result of the corner can be used, the calculation time can be shortened.

  According to the optical film of the seventeenth aspect, it is possible to reproduce a hologram image with different colors for each reproduction point by printing different colors for each calculation element section and combining them.

  According to the optical film of claim 18, instead of recording the phase angle in the unit block, the hologram can be formed without unevenness in viewing area between the hologram images by forming irregularities corresponding to the phase angle in the unit block. The image can be reproduced.

  According to the optical film of claim 19, instead of recording the phase angle in the unit block, by embedding a void corresponding to the change in the phase angle in the unit block, there is no visual mismatch between the hologram images, The hologram image can be reproduced.

  According to the method for producing an optical film of claim 20, since the information of the phase angle calculated in advance can be reused, for example, the calculation of the phase angle for each of numbers and alphabets is executed once and stored. In this case, a desired hologram image can be reproduced simply by recording the phase angle in the corresponding unit block. Therefore, even if the size of the hologram is increased, it is possible to reproduce various patterns depending on the combination of drawing positions without having to increase the memory area of the computer.

  According to the calculation method of the twenty-first aspect, it is possible to reduce the calculation time by limiting the area in which the phase angle is calculated to the phase angle recording area in the calculation element section.

It is a schematic diagram for demonstrating the optical film which concerns on 1st Embodiment. It is a schematic diagram which shows the structural example of a unit area | region. It is a SEM image which shows an example of the unit block in which the phase angle was recorded. It is the figure which looked at the optical film from the side (when two calculation element divisions have overlapped). It is the figure which looked at the optical film from the side (when two calculation element divisions do not overlap). It is a figure which shows the relationship between the reproduction | regeneration point and recording surface for reproducing | regenerating the hologram image of "A", "B", and "C" separately. It is a figure which shows the relationship between the reproduction | regeneration point for reproducing the hologram image of "A", "B", and "C" adjacent, and a recording surface (when it does not overlap). It is a figure which shows the relationship between the reproduction | regeneration point for reproducing the hologram image of "A", "B", and "C" adjacent, and a recording surface (when it overlaps). It is a figure which shows the relationship between the reproduction | regeneration point for reproducing | regenerating a curved hologram image in 1st Embodiment, and a recording surface. FIG. 5 is a schematic diagram showing a configuration example of a unit region (when the area occupancy of the phase angle recording region is ½). It is a schematic diagram which shows producing | generating QR code with the optical film which concerns on 1st Embodiment. It is a schematic diagram which shows the structural example of the unit area | region which comprises the optical film in the present Example of 1st Embodiment. It is a figure which shows the example of the reproduction | regeneration point in the optical film in the present Example of 1st Embodiment. It is an image figure which shows a part of recording surface on which the phase angle was recorded. It is an example of the layout on the XY plane of three types of recording surfaces. FIG. 16 is an image diagram of reproduction points reproduced by a recording surface arranged as shown in FIG. 15. It is a schematic diagram which shows the structural example of the optical film which concerns on 2nd Embodiment. It is a schematic diagram which shows the example in which the area occupation rate of the phase angle recording area in a unit area becomes 1/4. FIG. 5 is a schematic diagram showing a state of unit areas overlapped by phase angle recording areas of three surrounding recording surfaces. It is a figure which shows the relationship between the reproduction | regeneration point for reproducing | regenerating a curved hologram image and a recording surface in 2nd Embodiment. It is a schematic diagram (when a hologram image is two layers) which shows the structural example of the optical film which concerns on 3rd Embodiment. FIG. 22 is a schematic diagram showing one unit area on the recording surface in FIG. 21. It is a schematic diagram which shows the example whose area occupation rate of the phase angle recording area in a unit area becomes 1/2. It is a schematic diagram (when a hologram image is three layers) which shows the example of composition of the optical film concerning a 3rd embodiment. It is a schematic diagram showing a state of a unit area overlapped by the phase angle recording areas of the other two recording surfaces. It is sectional drawing which shows the example of the optical film in which the unevenness | corrugation corresponding to a phase angle was formed. It is sectional drawing (application example) which shows the example of the optical film in which the unevenness | corrugation corresponding to a phase angle was formed. It is sectional drawing which shows the example of the display body containing the optical film in which the unevenness | corrugation corresponding to a phase angle was formed (when transferred to a target object). It is sectional drawing which shows the example of the display body containing the optical film in which the unevenness | corrugation corresponding to a phase angle was formed (when transferred to a target object with a board | substrate). It is sectional drawing which shows the example of the display body containing the optical film in which the unevenness | corrugation corresponding to a phase angle was formed (when a target object has a functional layer). It is sectional drawing of the display body which specified the phase angle recording area | region and the phase angle non-recording area | region in FIG.30 (b). It is sectional drawing which shows the example of the display body containing the optical film in which the unevenness | corrugation corresponding to a phase angle was formed (when a functional layer exists in the whole surface). It is the top view and sectional drawing which show an example of the display body which combined the pattern and the reproduction | regeneration point. It is the top view and sectional drawing which show an example of the display body which combined the machine-readable code | cord | chord and the reproduction | regeneration point (when the machine-readable code | cord | chord is recorded on the functional layer). It is the top view and sectional drawing which show an example of the display body which combined the machine-readable code | cord | chord and the reproduction | regeneration point (when comprising the machine-readable code | cord | chord with a reproduction | regeneration point). It is a top view which shows an example of the data recorded on the phase angle recording area by which the pattern for reproducing | regenerating a reproduced image was drawn. It is a top view which shows an example of the optical film with which the pattern was combined with the fluorescent paint. It is a perspective view which shows the relationship of the shape of an illumination light source and a point light source. It is sectional drawing which shows the state by which the void was embedded in the base material. It is a figure which illustrates the example which utilized the hologram image for personal authentication information. It is a schematic diagram showing an example of a configuration in which two holograms for reproducing a reproduced image with a depth are simply arranged adjacent to each other. FIG. 41B is a diagram for describing inconsistency in the viewing zone according to the configuration of FIG. 41A.

  Hereinafter, in each of the following embodiments, a calculation method, an optical film, and a manufacturing method of the optical film of the present invention will be described in detail with reference to the drawings. In addition, the same referential mark is attached | subjected to the component which exhibits the same or similar function through all the drawings, and the overlapping description is abbreviate | omitted.

(First embodiment)
FIG. 1 is a schematic view for explaining an optical film according to the first embodiment of the present invention.

  That is, the optical film 10 according to the present embodiment includes a recording surface 12 in which a plurality of unit regions 11 are arranged in a lattice shape. The recording surface 12 corresponds to the surface of the base material 14.

  FIG. 2 is a schematic diagram illustrating a configuration example of the unit region 11.

  That is, the unit area 11 is composed of a large number of unit blocks 20, and these unit blocks 20 belong to either the phase angle recording area 16 or the phase angle non-recording area 18. As an example, the unit area 11 has a square shape composed of 1000 × 1000 unit blocks 20, and the phase angle recording area 16 has a size of 500 × 500 corresponding to the lower right quarter of the unit area 11. It consists of a unit block 20. In the unit area 11, the unit block 20 that does not belong to the phase angle recording area 16 is a unit block 20 that belongs to the phase angle non-recording area 18. The unit block 20 has, for example, a square shape with one side of 100 to 500 nm. Therefore, when the unit region 11 includes 1000 × 1000 unit blocks 20, the unit region 11 has a square shape with one side of 100 to 500 μm.

  As apparent from FIG. 1, the unit area 11 allows the phase angle recording area 16 and the phase angle non-recording area 18 to be regularly repeated on the recording surface 12. Therefore, when the size of the unit area 11 is large, particularly when the resolution of the eyes is large, it becomes possible to visually recognize the shape of the unit area 11 and it is difficult to separate the image from the reproduced image of the hologram. It may become. Therefore, it is desirable to set the size of the unit region 11 to 1 mm or less, particularly 500 μm or less.

  On the recording surface 12, calculation element sections 24 are defined based on the upper limit of the viewing angle θ from each reproduction point 22 where the hologram image is reproduced. Thus, since the calculation element section 24 is defined independently of the phase angle recording area 16 and the phase angle non-recording area 18, it normally overlaps with the phase angle recording area 16 and the phase angle non-recording area 18.

  In the present embodiment, in order to reproduce one hologram image, the phase component W (x, y) of the light from each reproduction point 22 is converted into the calculation element section 24 and the phase angle recording area 16 using a computer. Only unit blocks 20 included in overlapping overlapping areas are calculated. That is, only the unit block 20 included in the phase angle recording area 16 in the calculation element section 24 is calculated. Therefore, for the unit block 20 included in the phase angle non-recording area 18, it is not necessary to calculate the phase component regardless of whether the phase angle non-recording area 18 is included in the calculation element section 24 or not.

  The calculator further calculates a phase component W (x, y) from the phase angle φ according to the following equations (1) and (2). The calculated phase component W (x, y) can be temporarily stored in the memory or hard disk of the computer in association with the coordinates of the corresponding unit block 20.

  In this way, the upper limit of the viewing angle θ is defined, and the calculation time is shortened by limiting the area in which the phase angle φ is calculated to the phase angle recording area 16 in the calculation element section 24.

Here, i imaginary, lambda is the wavelength of light in reproducing hologram reproduction _{point, O n (x, y,} z) coordinates of the reproduction point 22, (Kx, Ky, 0 ) is a unit block coordinates It is.

  FIG. 3 is an SEM image showing an example of the unit block 20 in which the phase angle φ is recorded. The unit blocks 20 shown in FIG. 3 have a square shape with a side length of d, and are two-dimensionally arranged at an arrangement interval d in both the X direction and the Y direction.

  Incidentally, as illustrated in FIG. 1, there are a plurality of reproduction points 22 for reproducing one hologram image. Therefore, the same number of calculation element sections 24 corresponding to each of the plurality of reproduction points 22 are present on the recording surface 12 as the reproduction points 22. The plurality of reproduction points 22 may exist on the same plane parallel to the corresponding recording surface 12, or may not exist on the same plane parallel to the corresponding recording surface 12.

  When a plurality of reproduction points 22 exist on the same plane parallel to the corresponding recording surface 12, the distance (Z direction) between the plurality of reproduction points 22 and the recording surface 12 (XY plane) is made equal to 1 If the phase angle φ is calculated for one reproduction point 22, a copy of the calculation result can be used for the calculation result of the phase angle φ for the other reproduction points 22, which contributes to a reduction in calculation time.

  As shown in FIG. 4, the optical film 10 is viewed from the side by the presence of the plurality of calculation element sections 24 on the recording surface 12 corresponding to each of the plurality of reproduction points 22. There may be a case where the calculation element section 24 (# 1) by one reproduction point 22 (# 1) and the calculation element section 24 (# 2) by another reproduction point 22 (# 2) overlap. Thus, the phase component W (x, y) of the light in the unit block 20 included in the phase angle recording area 16 (not shown in FIG. 4) included in the overlapping area 24 (# 3) is the reproduction point 22. The sum of the phase component of the light from (# 1) and the phase component of the light from the reproduction point 22 (# 2).

  However, this adds a process of calculating the sum of the phase components of the light from the plurality of reproduction points 22 (# 1) and 22 (# 2), so that the calculation time increases accordingly. It also leads to an increase in the amount of information to be linked. When the amount of information to be linked increases, it becomes a factor that blurs the hologram image reproduced at the reproduction point 22.

  Therefore, when there are a plurality of calculation element sections 24 on the recording surface 12, it is preferable that the plurality of calculation element sections 24 do not overlap. This will be described with reference to FIG.

  FIG. 5 is a conceptual diagram illustrating a state where the two calculation element sections 24 (# 1) and 24 (# 2) do not overlap each other. For example, when the calculation element sections 24 are arranged in this way, the plurality of calculation element sections 24 do not overlap. This eliminates the overlap of the calculation element sections 24 on the recording surface 12, avoids the increase in the calculation time described above, and makes it possible to obtain a clear hologram image. Further, by eliminating the overlap of the calculation element sections 24, it is possible to reproduce a hologram image by changing the color for each reproduction point 22 by coloring different colors for each calculation element section 24 and combining them.

  Considering the above, for example, in order to reproduce the hologram image “ABC”, as shown in FIG. 6A, each reproduction is performed using a computer to reproduce the hologram image 26A of “A”. The phase component of light from the point 22A is calculated for the unit block 20 included in the phase angle recording area 16 in the calculation element section 24 on the recording surface 12A, and the phase angle φ is calculated from the phase component. The calculated phase angle φ may be temporarily stored in the memory or hard disk of the computer in association with the coordinates of the corresponding unit block 20.

  Next, in order to reproduce the hologram image 26B of “B” as shown in FIG. 6B, the phase component of the light from each reproduction point 22B is similarly converted to the phase in the calculation element section 24 on the recording surface 12B. Only the unit block 20 included in the angle recording area 16 is calculated, the phase angle φ is calculated from the phase component, and the calculated phase angle φ is linked to the coordinates of the corresponding unit block 20 to store the computer memory or hard disk Remember once. Further, in order to reproduce the hologram image 26C of “C” as shown in FIG. 6C, the phase component of the light from each reproduction point 22C is converted into the phase angle recording area 16 in the calculation element section 24 on the recording surface 12C. Is calculated only for the unit block 20 included in the signal, and the phase angle φ is calculated from the phase component, and the calculated phase angle φ is linked to the coordinates of the corresponding unit block 20 and temporarily stored in the memory of the computer or the hard disk. May be.

  As described above, not all of the hologram blocks 26A, 26B, and 26C are calculated for all the unit blocks 20 on the corresponding recording surfaces 12A, 12B, and 12C, but the phase angle recording area 16 in the calculation element section 24 is calculated. Since only the unit block 20 included in the calculation is calculated, the calculation time is short. As described above, the calculation time is further shortened if the plurality of calculation element sections 24 are not overlapped on the recording surfaces 12A, 12B, and 12C.

  Thereafter, the modulation of the phase angle φ calculated for each of the hologram images 26A, 26B, and 26C is recorded in the corresponding unit block 20 on the recording surfaces 12A, 12B, and 12C. The modulation of the phase angle φ can be recorded as a concavo-convex structure on a unit block, for example. At this time, the height of the concavo-convex structure can be a linear function of the phase angle φ. Thereby, at the reproduction point 22, the hologram image is reproduced only when light hits the unit block 20 included in the overlapping region. Therefore, it is possible to switch the reproduction at the reproduction point 22 by controlling how the light strikes. In addition, in this embodiment, since the phase component W (x, y) is calculated, by recording the modulation of the phase angle φ of the light, the amplitude of the light is not modulated, and the phase is recorded on the recording surface without reducing the luminance. Since this modulation is recorded, a high-luminance hologram image 26 can be reproduced.

  Furthermore, the brightness of the hologram image can be controlled by changing the occupation ratio of the unit block 20 in the overlapping area on the recording surface 12. That is, the brightness when the hologram is reproduced at the reproduction point 22 can be reduced by (area of the unit block 20) / (area of the calculation element section). This controls the brightness of the light. Since the hologram image is reproduced at the reproduction point 22 only when the unit block 20 included in the overlapping region is irradiated with light, the brighter hologram image can be reproduced as the unit block 20 is larger. Only a dark hologram image is reproduced.

  However, as the area of the unit block 20 on the recording surface 12 is larger, the calculation amount by the computer is increased, and as the unit block 20 is smaller, the calculation amount is further decreased, and when the area of the specific unit block 20 in the specific cell is larger Therefore, the brightness of the hologram image and the size of the unit block 20 on the recording surface 12 are optimally selected according to the design conditions.

  In this way, the hologram image is reproduced, but the phase angle φ is set to a predetermined unit block on the recording surface 12 simply arranged adjacent to each other as in the recording surfaces 12A, 12B, and 12C shown in FIG. Recording only results in inconsistent images on the boundary between adjacent holograms as described in the prior art. Therefore, in this embodiment, as illustrated in FIG. 8, the phase angle recording area 16A of the recording surface 12A for the hologram image 26A and the phase angle of the recording surface 12B for the hologram image 26B arranged adjacent to each other. The adjacent recording surfaces 12A and 12B are overlapped so as not to overlap the recording area 16B. Similarly, the phase angle recording area 16B of the recording surface 12B for the hologram image 26B and the phase angle recording area 16C of the recording surface 12C for the hologram image 26C arranged adjacent to each other are alternately arranged adjacent to each other. The recording surfaces 12B and 12C are overlapped.

  As a result, a part of the adjacent recording surfaces overlaps (for example, a part of the recording surface 12A and a part of the recording surface 12B physically overlap), but the phase angle recording regions 16 Are not overlapped (that is, the phase angle recording area 16A and the phase angle recording area 16B are not overlapped), so that a plurality of phase angles φ are not written in the same unit block 20. It is only the phase angle non-recording area 18 and the phase angle recording area 16 of the adjacent recording surface 12 that overlap.

  As described above, the phase angle is not written in the unit block 20 included in the phase angle non-recording area 18. However, information other than the phase angle can be recorded in the unit block 20 included in the phase angle non-recording area 18. The information other than the phase angle is information including at least one of light scattering, reflection, absorption, and diffraction characteristics, for example. By making information other than the phase angle recorded in the phase angle non-recording area 18 at least one of light scattering, reflection, and diffraction characteristics, it becomes possible to add different light effects. By controlling various types of light other than the phase component, a complicated visual effect can be realized.

  In this way, by overlapping the two adjacent recording surfaces, the boundary between the adjacent hologram images is eliminated, so that there is no inconsistency in the viewing zone between the hologram images as described above. That is, in the case of FIG. 8, there is no mismatch between the hologram image “A” and the hologram image “B” and between the hologram image “B” and the hologram image “C”, and the combined direction (in this case) , X direction), a hologram image continuous with “ABC” can be observed.

  Further advantages of this embodiment will be described. That is, the calculation result that has already been calculated can be used. For example, the phase angle of the hologram image “A”, the phase angle of the hologram image “B”, and the phase angle of the hologram image “C” have already been calculated and linked to the coordinates of the corresponding unit block 20. Suppose it is stored in memory or hard disk. The phase angle φ of the hologram image “B” is written in the corresponding unit block 20 on the recording surface 12A in the optical film 10 as shown in FIG. If the phase angle φ of the hologram image “A” is written in the corresponding unit block 20 on the surface 12B and the corresponding unit block 20 on the recording surface 12C and the phase angle φ of the hologram image “C” are written, the hologram “BAC” The image can be reproduced without performing any new calculations.

  In addition, “AAA”, “BBB”, “CCC”, “BCA”,..., Etc., to execute any new calculation by using the calculation results already calculated and stored by the computer Those skilled in the art will readily understand that many patterns of reproduced images can be reproduced.

  For example, in the case of a hologram composed of numbers, calculation of the phase angle is executed once for the numbers from 0 to 9, and if the calculation result is stored, the recording surface 12 as shown in FIG. Only by recording the phase angle φ in the corresponding unit block 20 in, a hologram image representing an arbitrary number can be reproduced without performing a new calculation.

  Furthermore, the optical film 10 according to the present embodiment is not limited to connecting the three hologram images as described above. For example, the optical film 10 repeatedly repeats the new recording surface 12 on the right side of the recording surface 12C. Thus, it is possible to create an infinitely long recording surface 12 in one direction and to reproduce a reproduction image of an infinitely long hologram in one direction accordingly. Note that the hologram image 26 is not necessarily limited to being linear in the X direction as shown in FIG. 8, but may be curved as shown in FIG.

  In this way, in order to reproduce a unidirectional reproduction image, one recording surface 12 can overlap up to a half of the area of one adjacent recording surface 12. For example, in the example of FIG. 8, the recording surfaces 12A, 12B, and 12C each have the same area, and the recording surface 12A overlaps to ½ the area of the recording surface 12B that is one adjacent recording surface. Yes. The recording surface 12B overlaps to ½ the area of the recording surface 12A that is one adjacent recording surface. Further, the area overlaps to 1/2 of the recording surface 12C, which is another adjacent recording surface. The recording surface 12C overlaps up to half the area of the recording surface 12B, which is one adjacent recording surface.

  In the square unit area 11 illustrated in FIG. 2, one of the four divided squares is the phase angle recording area 16. However, the phase angle recording area 16 is not limited to this. If the phase angle recording area 16 is overlapped only in the X direction as shown in FIGS. 8 and 9, the rectangular shape is continuous in the Y direction as shown in FIG. It may be. Further, as described above, the length in the X direction is made equal to the phase angle recording area 16 and the phase angle non-recording area 18 so as to be able to overlap to an area of ½. That is, the area occupation ratio of the phase angle recording area 16 in the unit area 11 can be halved at the maximum. As a result, the area occupation ratio of the phase angle recording region 16 on the recording surface 12 is also halved at the maximum.

  As described above, according to the optical film according to the present embodiment, since the boundary between two adjacent hologram images is eliminated by partially overlapping two adjacent recording surfaces, the view between the hologram images can be eliminated. It is possible to eliminate regional inconsistencies.

  In addition, since the information of the phase angle φ once calculated can be reused, for example, if the calculation of the phase angle φ for each number or alphabet is executed once and stored, the phase angle φ can be handled. Since a desired hologram image can be reproduced simply by recording in the unit block 20, even if the size of the hologram increases, there is no need to increase the memory area of the computer. It becomes possible to reproduce a simple pattern.

  In particular, numbers are expected to be used when a unique number is assigned to each card. Moreover, according to the present embodiment, it is possible to cope with the carry of the number of digits.

  Further, as shown in FIG. 11A, a hologram and recording surface 12C for reproducing a square unit block structure constituted by a plurality of reproduction points 22C as a reproduction image, and a plurality of reproductions as shown in FIG. 11B. By combining the rectangular unit block structure formed by the points 22D with the hologram to be reproduced as a reproduced image and the recording surface 12D, it is possible to express the pattern 13 as a stereoscopic image as shown in FIG. 11C. . As a result, for example, a content such as a QR code (registered trademark) whose information changes each time can be dealt with by combining holograms.

(Example)
A specific example of a hologram reproduced by the optical film according to the first embodiment will be described.

  FIG. 12 is a schematic diagram showing a configuration example of the unit region 11 constituting the optical film in the present example.

  The unit area 11 shown in FIG. 12 has a square shape with the number of unit blocks (X, Y) = (320, 320) pixel, and the lower right quarter in the figure is the phase angle recording area 16, and the others Is the phase angle non-recording area 18. That is, the phase angle recording area 16 has the number of unit blocks (x, y) = (160, 160) pixel.

  The recording surface 12 has a square shape made up of 151 × 151 unit areas 11, whereby the size of the entire recording surface 12 is 48320 × 48320 pixels. The drawing resolution was 125 nm. As shown in FIGS. 13 (a), (b), and (c), there are three reproduction points, the numbers “1”, “5”, and “8”. “1” is played back by 11 playback points, “5” is played back by 17 playback points, and “8” is played back by 17 playback points.

  The depth information can be set individually for each playback point. For simplicity, the number “1” is Z = 3 mm for all 11 playback points, and “5” is for all 17 playback points. Z = 5 mm, “8” was set to Z = 8 mm for all 17 reproduction points.

  FIG. 14 is a diagram showing a part of the recording surface 12 on which the phase angle φ is recorded. 14A shows the recording surface 12 (1) for “1”, FIG. 14B shows the recording surface 12 (5) for “5”, and FIG. 14C shows “8”. Is the recording surface 12 (8).

  In each of FIGS. 14A, 14B, and 14C, the black portion corresponds to the phase angle non-recording area 18, and the phase angle recording area 16 that is the other area has the phase angle φ. It is recorded.

  These three types of recording surfaces 12 (1), (5), and (8) are arranged on a 3 × 3 XY plane as shown in FIG. That is, the three central coordinates of the recording surface 12 (1) of the reproduction point “1” are (x, y) = (18.02, −1.48), (24.06, −4.5), (21 .04, -7.52), and the three central coordinates of the recording surface 12 (5) of the reproduction point "5" are (21.04, -1.48) = (18.02, -4.5), (25.06, −7.52), and the three central coordinates of the recording surface 12 (8) of the reproduction point “8” are (x, y) = (24.06, −1.48), (21. 04, -4.5) and (18.02, -7.52).

  FIG. 16 is an image diagram of reproduction points reproduced by the recording surface 12 arranged as shown in FIG. As can be seen from FIG. 16, it was confirmed that there is no visual field mismatch between the hologram images, and a reproduced image that expresses a sense of depth is displayed without a sense of incongruity.

(Second Embodiment)
An optical film according to the second embodiment of the present invention will be described.

  FIG. 17 is a schematic diagram illustrating a configuration example of the optical film according to the present embodiment. Here, a different point from 1st Embodiment is demonstrated and description of a common part is abbreviate | omitted.

  That is, the optical film 10 according to the first embodiment is configured by arranging a plurality of recording surfaces 12 while overlapping one-dimensionally in the X direction as shown in FIG. The optical film 10 according to the embodiment is configured by arranging a plurality of recording surfaces 12 while overlapping two-dimensionally on an XY plane.

  In FIG. 17, recording surfaces 12A1, 12B1, and 12C1 overlap with recording surfaces adjacent to each other in the X direction, similarly to recording surfaces 12A, 12B, and 12C in FIG. The recording surfaces 12A2, 12B2, and 12C2 also overlap with recording surfaces adjacent to each other in the X direction, similarly to the recording surfaces 12A, 12B, and 12C in FIG. In the present embodiment, the recording surface 12A1 further overlaps the recording surface 12A2 in the Y direction.

  Also in this case, the phase angle recording area 16A1 of the recording surface 12A1 and the phase angle recording area 16A2 of the recording surface 12A2 are alternately arranged in an area where the recording surface 12A1 and the recording surface 12A2 overlap each other. 12A1 and recording surface 12A2 are overlapped.

  Similarly, the phase angle recording region 16B1 of the recording surface 12B1 and the phase angle recording region 16B2 of the recording surface 12B2 are alternately arranged in the region where the recording surface 12B1 and the recording surface 12B2 overlap, and the recording surface 12B1 And the recording surface 12B2 are overlapped. Further, the recording surface 12C1 and the recording surface 12C2 are alternately arranged in a region where the recording surface 12C1 and the recording surface 12C2 overlap the phase angle recording region 16C1 of the recording surface 12C1 and the phase angle recording region 16C2 of the recording surface 12C2. Overlap.

  In FIG. 17, as an example, a configuration in which six recording surfaces 12 are arranged 2 × 3 on the XY plane is shown, but the optical film 10 according to the present embodiment is not limited to such a configuration. In general, a plurality of recording surfaces 12 can be arranged in N × M (N and M are each an arbitrary integer of 2 or more). In this case, the upper left 1/4 of the recording surface 12B1 overlaps with the upper right 1/4 of the recording surface 12A1, the lower right 1/4 of the recording surface 12A2, and the lower left 1/4 of the recording surface 12B2. In order to enable such an overlap, the area occupancy of the phase angle recording area 16 in the unit area 11 on each recording surface 12 is 1/4 at maximum. As a result, the area occupation ratio of the phase angle recording region 16 on the recording surface 12 is also ¼ at maximum.

  18A to 18F are schematic diagrams illustrating some examples in which the area occupancy of the phase angle recording region 16 in the unit region 11 is 1/4. FIG. 2 and FIG. 18A are the same, and the phase angle recording area 16 in the unit area 11 has a square shape which is a half of the unit area 11 which is a square shape. As shown in FIGS. 18B to 18F, the shape of the phase angle recording area 16 in the unit area 11 is not limited to the reduced size of the unit area 11, and the area occupation ratio is 1/4. Arbitrary shapes that can be fitted with no gap by arranging the same shape in the same direction may be used.

  FIG. 19 shows the state of the unit area 11 of the recording surface 12 overlapped by the phase angle recording areas 16 of the three surrounding recording surfaces 12 when a plurality of recording surfaces 12 are adjacently arranged in a lattice pattern on the XY plane. It is a schematic diagram which shows. FIG. 19 (a) corresponds to FIG. 18 (a). Similarly, FIGS. 19 (b), (c), (d), (e), and (f) are similar to FIG. This corresponds to (c), (d), (e), and (f), respectively.

  When the unit area 11 is located at the upper left quarter of the recording surface 12B1 in FIG. 17, in FIGS. 19A to 19F, the phase angle recording area 16a is located at the upper left quarter of the recording surface 12B1. The phase angle recording area 16b corresponds to that in the lower left quarter of the recording surface 12B2, and the phase angle recording area 16c corresponds to that in the upper right quarter of the recording surface 12A1, and the phase angle recording The area 16d corresponds to that in the lower right quarter of the recording surface 12A2.

  In this way, by arranging the plurality of recording surfaces 12 on the XY plane so as to overlap two-dimensionally, there is no boundary between adjacent hologram images in both the X direction and the Y direction. Inconsistencies disappear.

  In this way, by repeating the overlap of the new recording surface 12, theoretically, the hologram image can be arranged in an unlimited number of planes. Note that the hologram image forming the XY plane is not necessarily limited to a plane as shown in FIG. 17, and may be a curved surface as shown in FIG.

  As described above, according to the optical film according to the present embodiment, even when the hologram image is two-dimensionally arranged, the same effects as those of the first embodiment can be achieved.

(Third embodiment)
An optical film according to the third embodiment of the present invention will be described.

  FIG. 21 is a schematic diagram illustrating a configuration example of an optical film according to the present embodiment. Here, a different point from 1st Embodiment is demonstrated and description of a common part is abbreviate | omitted.

  As shown in FIG. 21, the optical film 10 according to the third embodiment reproduces a hologram image “1” and reproduces a hologram image “5” on the upper side (Z direction side in the drawing). Two recording surfaces 12 (1) and 12 (5) are overlapped.

  That is, the recording surface 12 (1) is for recording the phase angle φ of light from the reproduction point 26 (1) for reproducing the hologram image “1”, and the recording surface 12 (5) In this case, the phase angle φ of the light from the reproduction point 26 (5) for reproducing the hologram image “5” is recorded.

  In the optical film 10 according to this embodiment, although the two recording surfaces 12 (1) and 12 (5) overlap in this way, the phase angle recording area 16 (1) on the recording surface 12 (1) and the recording are recorded. The phase angle recording areas 16 (5) on the surface 12 (5) do not overlap with each other but are arranged alternately.

  FIG. 22A is a schematic diagram showing one unit area 11 (1) on the recording surface 12 (1) in FIG. 21, and FIG. 22B is a diagram of 1 in the recording surface 12 (5) in FIG. It is a schematic diagram which shows one unit area | region 11 (5). FIG. 22C is a schematic diagram showing the unit area 11 in a state where the recording surface 12 (1) and the recording surface 12 (5) are overlapped.

  As shown in FIG. 22A, on the recording surface 12 (1), the lower right quarter of the unit area 11 (1) is the phase angle recording area 16 (1). The area other than those is the phase angle non-recording area 18 (1). On the other hand, as shown in FIG. 22B, on the recording surface 12 (5), the upper right quarter of the unit area 11 (5) is the phase angle recording area 16 (5). Other than that, the phase angle non-recording area 18 (5) is formed.

  Therefore, even if the recording surface 12 (1) and the recording surface 12 (5) overlap, as shown in FIG. 22 (c), the phase angle recording area 16 (1) of the recording surface 12 (1), The recording surface 12 (5) and the phase angle recording area 16 (5) are alternately arranged.

  As described above, the two recording surfaces 12 (1) and 12 (5) are overlapped to overlap each other in order to reproduce two hologram images having different heights in the Z direction (different depths). The hologram image reflecting the depth can be reproduced.

  When reproducing two-layer hologram images “1” and “5” as shown in FIG. 21, the area ratio of the phase angle recording area 16 in the unit area 11 is reduced to a maximum of ½ as shown in FIG. It is possible to increase.

  FIG. 23 is a schematic diagram illustrating an example in which the area ratio of the phase angle recording region 16 in the unit region 11 is ½. For example, as shown in FIG. 23A, the right half of the unit area 11 (1) is the phase angle recording area 16 (1), and as shown in FIG. 23B, the right half of the unit area 11 (5) is In the case of the phase angle recording area 16 (5), when the recording surface 12 (1) and the recording surface 12 (5) overlap, as shown in FIG. 23C, the phase angle of the recording surface 12 (1). The recording area 16 (1) and the phase angle recording area 16 (5) of the recording surface 12 (5) are alternately arranged.

  22C, when the recording surface 12 (1) and the recording surface 12 (5) overlap, the phase angle recording region 16 is not arranged in the left half of the unit region 11. . Accordingly, another recording surface 12 can be overlapped using this area.

  FIG. 24 further overlaps the recording surface 12 (8) for recording the phase angle φ of the light from the reproduction point 26 (8) for reproducing the hologram image “8” in the state shown in FIG. Shows the state.

  In the unit area 11 (8) of the recording surface 12 (8), as shown in FIG. 25 (a), the upper left quarter is the phase angle recording area 16 (8). ), The phase angle recording area 16 (1) of the recording surface 12 (1), the phase angle recording area 16 (5) of the recording surface 12 (5), and the phase angle recording of the recording surface 12 (8). The recording surface 12 (8) can be further overlapped with the recordings 12 (1) and 12 (5) without overlapping the area 16 (8).

  Further, since a new phase angle recording area 16 can be arranged also in the phase angle non-recording area 18 at the lower left quarter in FIG. 25B, although not shown, similarly, four-layer hologram images are arranged. Can also be displayed. Alternatively, it is possible to arrange a new recording surface 12 in the X direction in addition to the three layers instead of the four layers.

  As described above, according to the present embodiment, generally, if the area occupancy of the phase angle recording region 16 in the unit region 11 is 1 / N (N is an integer of 2 or more), N layers of hologram images Can be displayed.

  Further, the hologram display is not limited to the hierarchical direction (Z direction), and the hologram display can be performed three-dimensionally by combining with the first and second embodiments.

  The recording surface 12 forming the XY plane is not limited to being a plane, and may be a curved surface.

(Modification 1)
In each of the above-described embodiments, the recording of the corresponding phase angle φ, that is, numerical information in the unit block 20 included in the phase angle recording area 16 in the calculation element section 24 has been described.

  In the first modification, instead of recording the phase angle φ as numerical information, the computer converts the phase angle φ into the height of the unevenness of the corresponding unit block 20, and the high level corresponding to the phase angle φ. By forming unevenness having a thickness on the corresponding unit block 20, the phase angle φ is recorded on the corresponding unit block 20.

  FIG. 26 is a cross-sectional view showing an example of the optical film 10 in which the modulation of the phase angle φ is recorded as unevenness.

  When recording the modulation of the phase angle φ as the unevenness height h, the unevenness height h is calculated as a linear function of the phase angle φ, and then exposure according to the unevenness height is performed by an electron beam drawing apparatus. The amount is drawn on the resist substrate. As a result, irregularities are recorded on the blanks at a height corresponding to the phase angle φ, and the blanks are developed but recorded, and an original can be produced from the blanks by electroforming.

  When the electron beam drawing machine cannot handle multi-level drawing, drawing close to multi-level may be performed by performing drawing with different powers in multiple stages at the same location. For example, it is possible to express eight levels of multi-levels by three times of multiple exposures. As a result, irregularities are recorded on the blanks at a height corresponding to the phase angle φ, and the recorded blanks are developed, and an original can be produced from the blanks by electroforming.

  Using the original plate, the thermoplastic resin, thermosetting resin, UV resin or the like is used to make irregularities on the phase angle recording layer 17 provided on the substrate 14 as shown in FIG. Form. In this way, the optical film 10 having the irregularities corresponding to the phase angle φ is obtained.

  When observing reflected light, the metal layer 36 may be used to code the surface of the phase angle recording layer 17 as shown in FIG. When observing only the transmitted light without observing the reflected light, the metal layer 36 may not be coded on the surface of the phase angle recording layer 17 as shown in FIG.

  The above describes the example of forming the optical film 10 with the irregularities corresponding to the phase angle φ using the original plate, but as another method, the silver halide exposure material is exposed and developed, and the developed silver after bleaching May be made transparent by changing to a silver salt such as silver halide. Alternatively, a thermoplastic whose refractive index or surface shape is changed by light may be used.

  FIG. 27 is an application example of FIG. 26, and if necessary, a release layer 37 is laminated on the substrate 14, a phase angle recording layer 17 is further laminated on the release layer 37, and an adhesive is further adhered to the phase angle recording layer 17. It is sectional drawing which illustrates the optical film 10 which laminated | stacked the layer 38 and was set as the structure which can be affixed on a target object by this adhesion layer 38. FIG. 27A and 27B correspond to FIGS. 26A and 26B, respectively. FIG. 27A shows the phase angle recording layer 17 and the metal layer 36. FIG. 27B is a cross-sectional view illustrating a configuration example of the optical film 10 in which the metal layer 36 is coated on the phase angle recording layer 17. is there.

  FIG. 28A and FIG. 28B correspond to FIG. 27A and FIG. 27B, respectively, and after being transferred to the object 44 via the adhesive layer 38, the release layer 37 is transferred. It is sectional drawing which shows the structural example of the display body 42 containing the optical film 10 from which the base material 14 was peeled from.

  The material used for the substrate 14 may be a rigid material such as a glass substrate or a film substrate. For example, plastic films such as PET (polyethylene terephthalate), PEN (polyethylene naphthalate), and PP (polypropylene) can be used. However, the film may be deformed or altered by heat or pressure applied when the phase angle recording layer 17 is provided. It is desirable to use less material. Note that paper, synthetic paper, plastic multilayer paper, resin-impregnated paper, or the like may be used as the base material 14 depending on applications and purposes.

  A resin and a lubricant can be used for the release layer 37. As the resin, thermoplastic resins, thermosetting resins, ultraviolet curable resins, electron beam curable resins, and the like are suitable. Examples of the resin include acrylic resin, polyester resin, and polyamide resin. As the lubricant, waxes such as polyethylene powder, paraffin wax, silicone, carnauba wax and the like are suitable. These are formed as the release layer 37 on the substrate 14 by a known coating method such as a gravure printing method or a micro gravure method. The thickness of the release layer 37 is preferably in the range of 0.1 μm to 2 μm, for example.

  Resin can be used for the phase angle recording layer 17. As the resin, a thermoplastic resin, a thermosetting resin, an ultraviolet curable resin, a thermoformable material having a radical polymerizable unsaturated group, an electron beam curable resin, and the like are preferable. As resin, urethane resin, polycarbonate resin, polystyrene resin, thermoplastic resin of polyvinyl chloride resin, unsaturated polyester resin, melamine resin, epoxy resin, urethane (meth) acrylate, polyester (meth) acrylate, epoxy (meth) acrylate, Polyol (meth) acrylate, melamine (meth) acrylate, and triazine (meth) acrylate are used. The thickness of the phase angle recording layer 17 is preferably in the range of 0.5 μm to 5 μm, for example.

  The metal layer 36 is formed using, for example, ink. As this ink, offset ink, letterpress ink, gravure ink, and the like can be used according to the printing method, and examples thereof include resin ink, oil-based ink, and water-based ink according to the difference in composition. Moreover, depending on the difference in the drying method, for example, an oxidation polymerization type ink, a permeation drying type ink, an evaporation drying type ink, and an ultraviolet curable ink can be mentioned.

  Further, as an example of the material of the metal layer 36, a functional ink whose color changes according to the illumination angle or the observation angle may be used. Examples of such functional inks include optically variable ink, color shift ink, and pearl ink.

An inorganic compound is also used as a material for the metal layer 36. As the inorganic compound, a metal compound are preferable, for _{example, TiO 2, Si 2 O 3} , SiO, Fe 2 O 3, ZnS is used. An inorganic compound has a high refractive index and tends to increase the reflectance. A metal is used as the material of the metal layer 36. As the metal, Al, Ag, Sn, Cr, Ni, Cu, or Au can be used. The metal layer 36 using an inorganic compound or metal can be formed by vapor deposition. As the vapor deposition method, vapor deposition, CVD, or sputtering can be used. The thickness of the metal layer 36 can be 40 nm or more and 1000 nm or less. The reflectance of the metal layer 36 is preferably 30% or more and 70% or less, and if it is 30% or more, sufficient reflection can be obtained even if there is a base printing layer. If the reflectance is higher than 70%, it is difficult to observe the printed layer of the base.

  The display body 42 shown in FIG. 28 has the optical film 10 attached to the object 44. Examples of the object 44 include banknotes, coupons, stamps, cards, signage, posters, tags, seals, and the like. The pressure-sensitive adhesive layer 38 only needs to be in close contact with the object 44 and may be made of any material, for example, an adhesive.

  The object 44 is not particularly limited as long as it can be pasted via the adhesive layer 38, such as paper or polymer.

  In addition, since a reproduced image is blurred when it is easily scratched by rubbing or the like, a protective layer (not shown) may be provided on the surface of the display body 42. The protective layer can also impart hard coat properties. The hard coat property may be a hardness of H or more and 5H or less in a pencil hardness test (JIS K5600-5-4).

  The 20 ° gloss (Gs (20 °)) on the surface of the display body 42 is preferably 15 or more and 70 or less. When the 20 ° gloss (Gs (20 °)) is less than 15, the antiglare property becomes strong and the reproduction point 22 does not image well. On the other hand, when the 20 ° gloss (Gs (20 °)) exceeds 70, the antiglare property is insufficient and reflected light is reflected in the reproduced image, making it difficult to capture and observe the reproduced image. A more preferable 20 ° gloss (Gs (20 °)) is in the range of 20 or more and 60 or less.

  The transmitted image definition (C (0.125) + C (0.5) + C (1.0) + C (2.0)) value of the phase angle recording layer 17 is preferably 200% or more. . Further, the haze (Hz) of the phase angle recording layer 17 can be 1.0% or more and 25% or less. The 20 ° gloss was measured based on JIS-K7105-1981 using a gloss meter (micro-TRI-gloss manufactured by BYK-Gardner). The measurement of the transmission clarity was measured based on JIS-K7105-1981 using a mapping measuring device (trade name: ICM-1DP, manufactured by Suga Test Instruments Co., Ltd.).

  The light transmitted through the anti-glare film is determined by calculation based on the formula C = (M−m) / (M + m) × 100 from the highest wavelength M and the lowest wavelength m measured through the moving optical comb. The transmitted image definition C (%) indicates that the larger the value is, the clearer and better the image is. Since four types of optical combs (0.125 mm, 0.5 mm, 1.0 mm, 2.0 mm) were used for the measurement, 100% × 4 = 400% is the maximum value.

  For haze (Hz), haze (Hz) was measured according to JIS-K7105-1981 using a haze meter (NDH2000 manufactured by Nippon Denshoku Industries Co., Ltd.).

  The total light reflectance can be measured according to JIS-K7105 using, for example, U-4100, a spectrophotometer manufactured by Hitachi High-Technologies Corporation, and an integrating sphere.

  As a modification, the optical film 10 having a configuration in which the phase angle recording layer 17 is directly laminated on the base material 14 without the release layer 37 is also possible. FIG. 29A and FIG. 29B are cross-sectional views showing a configuration example of the display body 42 in which such an optical film 10 is attached to the object 44. In this case, as shown in FIGS. 29 (a) and 29 (b), since there is no peeling layer 37, the base material 14 remains even after being attached to the object 44.

  When the base material 14 forms a printing layer, it is preferable to use matte paper. Examples of the mat-like paper include high-quality paper, medium-quality paper, mat-coated paper, and art paper.

  In addition, as shown in FIG. 30, the target object 44 has a functional layer 34, and it is possible to have in advance characteristics having light scattering, reflection, or diffraction characteristics. 30 (a) and 30 (b) are cross-sectional views showing a configuration example of the display body 42 in the case where the object 44 has the functional layer 34. FIGS. 28 (a) and 28 (b) respectively. It corresponds.

  In the case of the configuration shown in FIG. 30B, the metal layer 36 is preferably formed as a thin film so that light can be transmitted even if it is a light-transmitting material or a non-light-transmitting material. Thereby, both the optical effect by the metal layer 36 and the optical effect by the functional layer 34 can be generated simultaneously.

  Examples of the functional layer 34 of the object 44 include a fine nanostructure, a diffraction grating structure, a microstructure, and a printed layer. As a simple example, the portion of the functional layer 34 is a printed layer, and a functional layer having a transparent reflective layer on the surface thereof is pasted via an adhesive layer 38. Thereby, both the optical effect of the functional layer 34 and the optical effect by printing of the functional layer 34 can be generated. The printing layer can be formed using ink.

  As the ink, pigment ink and dye ink can be used. As the pigment ink, an inorganic compound or an organic substance can be used. Examples of inorganic pigments include graphite, cobalt, and titanium. Examples of organic pigments include phthalocyanine compounds, azo pigments, and organic complexes. Further, fluorescent or phosphorescent pigments can also be used. The pigment can be dispersed in a polymer matrix and printed to form a printed layer. As the polymer base material, acrylic resin, urethane resin, rosin and the like can be used. The addition amount of the pigment is preferably 0.1% or more and 10% or less. Examples of dye inks include organic substances. Organic dyes include natural dyes and synthetic dyes. Examples of synthetic dyes include azo dyes and organic complex dyes. Further, fluorescent or phosphorescent dyes can also be used. The dye can be dispersed in a polymer matrix and printed to form a printed layer. As the polymer base material, acrylic resin, urethane resin, rosin and the like can be used. The addition amount of the dye is preferably 0.5% or more and 30% or less.

  In order to improve the recognizability of the reproduced image, it is preferable that the printed layer has low reflection. Typically, low reflection means that the reflectance of all light rays is 1% or more and 29% or less. If the Munsell brightness is 1 to 6, the color tone becomes natural, and the corresponding total light reflectance is 1% or more and 29% or less.

  The arrangement interval of the calculation element sections 24 is preferably 3 times or more, 10 times or less, or 1/3 or less, 1/10 or more of the difference from the halftone dot interval of the printed layer. In this way, moire between the calculation element section 24 and the halftone dot of the printing layer does not occur.

  Further, as shown in FIG. 31 in which the phase angle recording area 16 and the phase angle non-recording area 18 are clearly shown in FIG. 30B, a metal layer 36 is provided in the phase angle recording area 16, and the phase angle non-recording area 18 is provided. When the metal layer 36 is not provided, light is transmitted through the phase angle non-recording region 18. In this case, the optical effect of the functional layer 34 of the object 44 is exhibited regardless of the material and film thickness of the metal layer 36. It becomes possible.

  FIG. 32 shows a configuration in which a part of FIG. 31 is modified. By arranging the phase angle recording layer 17 in a location where the phase angle recording layer 17 is not arranged in FIG. It is sectional drawing which shows the structural example in case the layer 17 exists in the whole surface.

  As shown in FIG. 32, even when the phase angle recording layer 17 is present on the entire surface, the optical effect can be exhibited by providing the portion with and without the metal layer 36. In addition, the manufacturing method of the presence or absence of the metal layer 36 provides a printing layer in the part which does not attach the metal layer 36, the metal layer 36 is provided in the whole surface by vapor deposition, sputtering, printing, etc., and the part which does not attach the metal layer 36 after that. By peeling off the printed layer provided on, it is possible to produce a portion with and without the metal layer 36.

  Further, as shown in FIG. 33, by combining the printed pattern (ABCDEF) 13 and the separated reproduction points 22 which the functional layer 34 of the object 44 has, the reproduction points 22 can be combined with the printed pattern 13. By changing the depth to be reproduced, it is possible to have an effect of enhancing the printed pattern 13. In particular, in order to emphasize the pattern 13 in a part where the pattern 13 is present, the reproduction point 22 is reproduced away from the printing surface as shown in FIG. 33B which is a cross-sectional view corresponding to the plan view of FIG. By doing so, it is possible to clearly separate the reproduced images of the plurality of reproduction points 22 and the printed pattern 13 so that the viewer can easily see them.

  On the other hand, as shown in FIG. 33 (b), it is possible to make the reproduction point 22 clear to the observer by bringing the reproduction point 22 close to the printing surface in a portion where the pattern 13 is not present. In addition, it is possible to give the effect of making the pattern 13 more attractive by reversing the distance of the reproduction point 22 from the printing surface as described above. Such an effect can also be exhibited by making the reproduction point 22 rough only in a portion where the pattern 13 is present and dense in a portion where the pattern 13 is not present. The role of the functional layer 34 of the object 44 includes, in addition to printing, a fine nanostructure, a diffraction grating structure, a microstructure, a computer generated hologram, and the like.

  As shown in FIG. 34, a machine-readable code may be recorded on the functional layer 34. The machine-readable code includes a QR code (registered trademark), an iQR code, an AR code, and a digital watermark.

  As shown in FIG. 34, even when the machine-readable code 46 is arranged in the functional layer 34, the reproduction depth of the reproduction point 22 is changed in accordance with the arrangement of the machine-readable code 46. The machine readable code 46 is highlighted and the machine readable code 46 is read by the code reader. In particular, the portion where the machine-readable code 46 is arranged is a cross-sectional view corresponding to the plan view of FIG. 34 (a) in order to improve the readability of the machine-readable code 46. FIG. As shown in FIG. 4, by reproducing the reproduction point 22 away from the machine-readable code 46, the reproduced image of the plurality of reproduction points 22 and the machine-readable code 46 are clearly separated, and the machine-readable code 46 is obtained. Can be easily read by a code reader.

  The machine-readable code 46 is preferably provided in the phase angle recording area 16. When the machine-readable code 46 is printed in a normal printed matter, a sense of incongruity occurs. However, the machine-readable code 46 of the printed layer with little change is recognized by the reproduced image that changes depending on the illumination and the observation angle. Can be hidden and concealed. Thereby, the deterioration of the design due to the provision of the machine-readable code can be alleviated.

  The correction rate of the machine-readable code 46 is preferably 20% or more and 60% or less. When a QR code is used as the machine-readable code 46, the error correction level is preferably H (correction rate 30%). The error correction level when using an iQR code instead of a conventional QR code is preferably H (correction rate 30%) or S (correction rate 50%).

  Further, as shown in FIGS. 35A and 35B, a machine-readable code 46 can be configured at the reproduction point 22. In order to realize this, an optical film on which a machine-readable code 46 in which a transparent reflective layer is formed is recorded on the pattern of the functional layer 34 of the object 44 is laminated. In the above configuration, the machine-readable code 46 is blurred under normal illumination conditions (diffuse illumination), so that only the pattern can be observed. Therefore, the design of the pattern is not hindered. On the other hand, when illuminated with a point light source such as an LED illumination (strobe illumination) of a smartphone or the like, a high-brightness machine-readable code 46 (for example, a QR code) is reproduced, and the camera is focused on this QR code. And the contents of the machine readable code 46 can be read.

  In order to reliably read the contents of the machine readable code 46, it is preferable that the machine readable code 46 is reproduced between 5 mm and 25 mm from the functional layer 34 of the object 44. If it is closer to the functional layer 34 than this, the discrimination between the pattern of the functional layer 34 and the machine-readable code 46 is lowered. On the other hand, if it is further away from the functional layer 34, the reproduced image of the machine-readable code 46 is likely to be blurred.

  The correction rate of the machine-readable code 46 is preferably 20% or more and 60% or less. When a QR code is used as the machine-readable code 46, the error correction level is preferably H (correction rate 30%). The error correction level when using an iQR code instead of the conventional QR code is preferably H (correction rate 30%) or S (correction rate 50%). The machine-readable code 46 may be recorded on both the functional layer 34 and the reproduction point 22.

  FIG. 36 is a plan view showing an example of data recorded in the phase angle recording area 16 for reproducing a desired reproduced image.

  FIG. 37 is an example of an optical film in which a pattern with a fluorescent paint 48 is combined. When the illumination is turned on and reproduced by the light source, the reproduction point 22 is reproduced. When the illumination is turned off, the portion coated with the fluorescent paint 48 is colored, so that both the illumination is on and the illumination is off. It becomes possible to make it correspond.

  FIG. 38 is a perspective view showing the shape relationship between the illumination light source 50 and the reproduction point 22. By separating the reproduction points 22 as shown in FIG. 37, it is possible to eliminate blur due to the size of the reproduction image reproduced by the reproduction points 22. At this time, when the illumination light source 50 is circular as shown in FIG. 38A, the circular reproduction point 22 can be reproduced, and as shown in FIG. 38B, the illumination light source 50 is reproduced. When 50 ′ is a star shape, a star-shaped reproduction point 22 ′ image can be reproduced.

  As described above, according to the optical film 10 according to the first modification, the phase angle φ is converted into the height of the unevenness of the corresponding unit block 20, and the unevenness having the height corresponding to the phase angle φ is By forming the corresponding unit block 20, the hologram image can be reproduced at the reproduction point 22.

  Also by doing in this way, the same operation effect as the 1st thru / or 3rd embodiment can be produced.

(Modification 2)
In each of the above-described embodiments, the recording of the corresponding phase angle φ, that is, numerical information in the unit block 20 included in the phase angle recording area 16 in the calculation element section 24 has been described.

  In the second modification, instead of recording the phase angle φ as numerical information, the computer converts the change in the phase angle φ into a change amount from the refractive index of the recording surface 12. Further, the computer converts the refractive index change amount into a void that realizes the amount of change in the refractive index. Then, for example, as shown in FIG. 39, the void 33 is embedded in the base material 14 corresponding to the location of the corresponding unit block 20 to record the phase angle φ in the unit block 20.

  As described above, according to the optical film 10 according to the second modification, the change in the phase angle φ is converted into the amount of change from the refractive index of the recording surface 12, and the void 33 that realizes the amount of change is handled. The hologram image can be reproduced at the reproduction point 22 by being embedded in the base material 14 corresponding to the location of the unit block 20 to be performed.

  Also by doing in this way, the same operation effect as the 1st thru / or 3rd embodiment can be produced.

(Modification 3)
In each of the above-described embodiments, an example in which alphabets and numbers are displayed by a reproduced image of a hologram has been described.

  In the third modification, the phase angle recording area 16 has a shape of a graphic representing a character or a picture. This figure can be used particularly as personal authentication information.

  FIG. 40 is a diagram showing an example in which a hologram image is reproduced on a personal authentication medium 40 such as an identification card for use in personal authentication information.

  The phase angle recording area 16 is formed by a figure having a meaningful shape and used as personal authentication information. For example, the phase angle recording area 16 is formed by a figure 47 having a meaningful shape (for example, the name of a person to use, a face photograph, etc.). Precisely, the dotted line portion in the graphic 47 corresponds to the phase angle recording area 16, and the mark eye and mouth portions in the graphic 47 correspond to the phase angle non-recording area 18. Accordingly, a hologram image corresponding to the graphic 47 is reproduced at the reproduction point 22 in the personal authentication medium 40 such as an identification card. This hologram image is visible.

  As described above, according to the optical film 10 according to the third modified example, the phase angle recording region 16 is formed in the shape of the graphic 47 representing the character or the pattern, so that a three-dimensional dynamic effect is applied to the character or the pattern. Can be given. Further, the figure 47 can also be used as personal authentication information.

  The best mode for carrying out the present invention has been described above with reference to the accompanying drawings, but the present invention is not limited to such a configuration. Within the scope of the invented technical idea of the scope of claims, a person skilled in the art can conceive of various changes and modifications. The technical scope of the present invention is also applicable to these changes and modifications. It is understood that it belongs to.

  10 .... Optical film, 11 .... Unit area, 12 .... Recording surface, 13 .... Picture, 14 .... Base material, 16 .... Phase angle recording area, 17 .... Phase angle recording layer, 18 .... Phase angle Non-recording area 18 ··· Unit block 22 ·· Reproduction point 24 ·· Calculation element section 26 ·· Hologram image 30 ·· Boundary portion 33 ·· Void 34 ··· Functional layer 36 ·· Metal layer 37..Peeling layer 38..Adhesive layer 40..Personal authentication medium 42..Display body 44..Object 46..Code 47..Figure 48..Fluorescent paint 50 .. -Illumination light source, 100-Optical film, 120-Recording surface.

Claims (21)

An optical film having a plurality of recording surfaces composed of a plurality of unit blocks,
Each recording surface is a unit for recording a phase angle calculated based on phase components of each light from a plurality of reproduction points for reproducing a reproduction image of each hologram among the plurality of unit blocks. A phase angle recording area including a block, and a phase angle non-recording area including a unit block in which the phase angle is not recorded,
The phase angle recording area of the first recording surface of the plurality of recording surfaces and the phase of the second recording surface disposed adjacent to the first recording surface of the plurality of recording surfaces. An optical film in which corner recording areas are partially arranged alternately and the first recording surface and the second recording surface are partially overlapped.   The areas of the first recording surface and the second recording surface are the same, and the area occupancy of the phase angle recording area on the first recording surface is a maximum of ½, and the second recording surface 2. The area occupation ratio of the phase angle recording region on the surface is a maximum of ½, and the first recording surface and the second recording surface overlap with a maximum of ½ of the area. The optical film as described. An optical film having a plurality of recording surfaces composed of a plurality of unit blocks,
Each recording surface is a unit for recording a phase angle calculated based on phase components of each light from a plurality of reproduction points for reproducing a reproduction image of each hologram among the plurality of unit blocks. A phase angle recording area including a block, and a phase angle non-recording area including a unit block in which the phase angle is not recorded,
The phase angle recording area of the first recording surface of the plurality of recording surfaces, and the phase angle recording area of the second recording surface of the plurality of recording surfaces overlapping the first recording surface. An optical film in which and are alternately arranged.   The first recording surface and the second recording surface have the same area, and the area occupancy ratio of the phase angle recording region on the first recording surface is a maximum of 1/2, and the second recording surface The optical film according to claim 3, wherein the area occupancy of the phase angle recording region on the surface is a maximum of ½.   The plurality of recording surfaces are N (N is an integer of 3 or more) recording surfaces, and the phase angle recording area of the second recording surface and the second of the plurality of recording surfaces are the second recording surfaces. The phase angle recording areas of the third recording surface arranged adjacent to the recording surface are partially arranged alternately, and the second recording surface and the third recording surface are partially overlapped. The optical film according to claim 1, wherein the N recording surfaces are arranged in one direction. The plurality of recording surfaces are N (N is an integer of 4 or more) recording surfaces, and the first recording surface, the second recording surface, and the plurality of recording surfaces, the first recording surface is the first recording surface. A third recording surface disposed adjacent to one recording surface, and a fourth recording disposed adjacent to the second recording surface and the third recording surface among the plurality of recording surfaces. Are arranged in a grid of 2 rows and 2 columns,
The phase angle recording area of the third recording surface, the phase angle recording area of the first recording surface, and the phase angle recording area of the second recording surface are partially arranged alternately, Partially overlapping the third recording surface with the first recording surface and the second recording surface;
The phase angle recording area of the fourth recording surface, the phase angle recording area of the first recording surface, the phase angle recording area of the second recording surface, and the phase angle recording area of the third recording surface. Phase angle recording areas are partially arranged alternately, and the fourth recording surface is partially overlapped with the first recording surface, the second recording surface, and the third recording surface. The optical film according to claim 1.   7. The optical film according to claim 6, wherein the areas of the N recording surfaces are the same, and the area occupancy of the phase angle recording region on each of the recording surfaces is a maximum of ¼.   The plurality of recording surfaces are N (N is an integer of 3 or more) recording surfaces, and the phase angle recording area of a third recording surface of the plurality of recording surfaces is the first recording surface. The phase angle recording area of the surface and the phase angle recording area of the second recording surface are partially and alternately arranged, and the third recording surface is overlaid on the first recording surface and the recording surface. The optical film according to claim 3, wherein all of the N recording surfaces are overlapped so as to be wrapped.   9. The optical film according to claim 8, wherein the areas of the N recording surfaces are the same, and the area occupancy of the phase angle recording region on each of the recording surfaces is 1 / N at the maximum. Each recording surface has a plurality of calculation element sections defined based on the viewing angle from each corresponding reproduction point,
The phase angle calculated for each unit block included in the phase angle recording area included in each calculation element section is recorded in each unit block. The optical film described in 1.   The optical film according to any one of claims 1 to 10, wherein information other than the phase angle is recorded in the phase angle non-recording area.   The optical film according to claim 11, wherein the information other than the phase angle is information including at least one of light scattering, reflection, and diffraction characteristics.   The optical film according to any one of claims 1 to 12, wherein the phase angle recording region has a shape of a figure representing a character or a picture.   The optical film according to claim 13, wherein the graphic is used as personal authentication information.   11. The calculation element section corresponds to each of the plurality of reproduction points on a one-to-one basis, and is present in the same number as the plurality of reproduction points, and the plurality of calculation element sections do not overlap on the recording surface. The optical film described in 1.   The optical film according to claim 15, wherein the plurality of reproduction points exist on the same plane parallel to a corresponding recording surface.   The optical film according to claim 15 or 16, wherein each of the plurality of calculation element sections that do not overlap on the recording surface is colored with a different color.   The phase angle is converted into the height of the unevenness of the recording surface, and the phase angle is recorded in the corresponding unit block by forming the converted height of the unevenness in the corresponding unit block. The optical film according to any one of claims 1 to 17.   The phase angle change is converted into a void corresponding to the amount of change from the refractive index of the recording surface, and the converted void is embedded in the corresponding unit block, whereby the phase angle is converted into the corresponding unit block. The optical film according to claim 1, wherein the optical film is recorded on the optical film. A method for producing an optical film comprising a plurality of recording surfaces comprising a plurality of unit blocks,
In the first recording surface of the plurality of recording surfaces, the phase component of each light from the first plurality of reproduction points for reproducing the reproduction image of the first hologram among the plurality of unit blocks. Defining a first recording area comprising a unit block for recording a phase angle calculated based on
Among the plurality of recording surfaces, on a second recording surface adjacent to the first recording surface, among the plurality of unit blocks, a second plurality for reproducing a reproduction image of a second hologram Defining a second recording area including a unit block for recording a phase angle calculated based on a phase component of each light from the reproduction point;
The first recording area and the second recording area are partially arranged alternately, and the first recording surface and the second recording surface are partially overlapped;
Defining, on the first recording surface, a first plurality of calculation element sections each determined based on a viewing angle from each of the first plurality of reproduction points;
The phase angle calculated for each unit block included in the first recording area included in the first plurality of calculation element sections is recorded in each unit block,
Defining a second plurality of calculation element sections respectively determined based on a viewing angle from each of the second plurality of reproduction points on the second recording surface;
The optical film is manufactured by recording the phase angle calculated for each unit block included in the second recording area included in the second plurality of calculation element sections in each unit block. Method. A calculation method for reproducing a reproduction image of a hologram,
Based on the viewing angle from each of the first plurality of reproduction points for reproducing the reproduction image of the first hologram on the first recording surface that is provided on the optical film and is constituted by a plurality of unit blocks. Among the unit blocks included in the determined first plurality of calculation element sections, corresponding reproduction points for a plurality of predetermined first recording unit blocks in which the phase angle can be recorded. Calculate the phase angle based on the phase component of the light from
Reproducing a reproduction image of the second hologram on the second recording surface, which is provided on the optical film so as to partially overlap the first recording surface and is composed of a plurality of unit blocks. A phase angle can be recorded among unit blocks included in the second plurality of calculation element sections determined based on the viewing angle from each of the second plurality of reproduction points, A calculation method for calculating a phase angle based on a phase component of light from a corresponding reproduction point for a plurality of predetermined second recording unit blocks that do not overlap with the first recording unit block.