This application claims benefit of Japanese Application No. 2008-011279 filed in Japan on Jan. 22, 2008, and, Japanese Application No. 2008-287309 filed in Japan on Nov. 10, 2008, the contents of which are incorporated by this reference.
The present invention relates generally to a fabrication process for computer-generated holograms, a computer-generated hologram fabricated by that process, and a computer-generated hologram.
For the purpose of prevention of forgery or faking, it has so far been known that tradable coupons, credit cards or the like are provided with holograms. For such holograms, there is a computer-generated hologram (CGH) that is obtained by forming interference fringes on a given recording surface using computation by a computer (see Patent Publication 1).
A. W. Lohmann and D. P. Paris: “Binary Franuhofer Holograms, Generated by Computer”, Appl. Opt., 6, 10, pp. 1739-1748 (October 1967)
Wai Hon Lee: “Sampled Fourier Transform Hologram Generated by Computer”, Appl. Opt., 9, 3, pp. 639-643 (March 1970)
However, the computer-generated hologram of Patent Publication 1 had a limited load on computation, but had a narrow viewing angle in the longitudinal direction. For instance,
It is here noted that one specific technique of using a point light source as a light source for object light from an original image thereby making sure a viewing angle in the vertical (longitudinal) direction is disclosed in Patent Publication 2. With the technique of Patent Publication 2, object light takes the form of a spherical wave spreading from the point light source on the original image so that the viewing angle in the vertical direction becomes wide. However, because the recording area on the hologram recording surface is limited in the vertical direction, there is a change in the vertical direction viewing angle depending on the depth position of an object.
Having been made in view of such problems with the prior art in mind, the present invention has for its object the provision of a process for the fabrication of a computer-generated hologram that is easy to view and excels in security, and a computer-generated hologram fabricated by that process.
According to the invention, the aforesaid object is accomplishable by the provision of a fabrication process for a computer-generated hologram wherein amplitude information and phase information are recorded on a given recording surface by means of computation by a computer, characterized by comprising a step of setting a first direction and a second direction orthogonal to said first direction in said computer-generated hologram, a step of setting parallax in said first direction alone, a step of setting unit areas, each one having a given width in said second direction, and a step of creating, in each unit area, a diffraction pattern having a spatial frequency that varies in said second direction.
The present invention is also characterized in that said step of setting a diffraction pattern having a spatial frequency that varies in the second direction is a step wherein said spatial frequency is gradually changed from one to another of said second direction.
The present invention is further characterized by comprising a step of recording an object to be recorded, using object light that spreads from a point light source set on the object to be recorded in said first direction and from a position different from said point light source in said second direction.
The present invention is further characterized by comprising a step of recording an object to be recorded, using object light that spreads from a linear light source set on the object to be recorded in said first direction and has a constant width in said second direction, and using reference light that converges on a given position determined for each unit area with respect to said second direction.
The present invention is further characterized by comprising a step of making said diffraction pattern from interference fringes.
The present invention is further characterized by comprising a step of making said diffraction pattern from a pattern capable of modulating a phase and amplitude.
The present invention is further characterized in that the computer-generated hologram is fabricated by the aforesaid computer-generated hologram fabrication process.
The aforesaid objects are achievable by the provision of a computer-generated hologram wherein amplitude information and phase information are recorded on a given recording surface by means of computation by a computer, characterized by comprising:
a first direction and a second direction orthogonal to said first direction,
parallax in said first direction alone,
unit areas, each one having a given width in said second direction, and
a diffraction pattern in each unit area that has a spatial frequency that varies in said second direction.
The present invention is also characterized in that the spatial frequency of said diffraction pattern that varies in the second direction changes gradually from one to another in each unit area.
According to the present invention, a computer-generated hologram is fabricated such that there is parallax in the first direction alone and the spatial frequency of the diffraction pattern in each unit area varies in the second direction. The computer-generated hologram thus makes sure a wider viewing angle because of a change in the angle of spreading of diffracted light in the second direction. In addition, there is no change in the second direction viewing angle depending on the depth position of an object, because the spreading of object light in the second direction can be determined irrespective of the position of the object. Moreover, when white light is used as reconstructing illumination light, it makes sure a wider viewing angle and enables a reconstructed image to be viewed in white.
Still other objects and advantages of the invention will in part be obvious and will in part be apparent from the specification.
The invention accordingly comprises the features of construction, combinations of elements, and arrangement of parts which will be exemplified in the construction hereinafter set forth, and the scope of the invention will be indicated in the claims.
a) and 4(b) is illustrative of the architecture of the master CGH according to one embodiment of the invention.
a) and 5(b) is illustrative of one specific structure of the master CGH according to one embodiment of the invention.
How to fabricate the hologram here is now explained with reference to the accompanying drawings.
In the embodiment here, a computer-generated hologram 1 is first fabricated.
First, there is a computer-generated hologram used, which is recorded by use of object light that spreads out from a point light source set on the original image to be recorded in a given one-dimensional direction alone. This fabrication process is based on what is set forth in Patent Publication 1. That is, as shown in
In the example of
Each of the unit areas B1, B2, B3, . . . , Bm, . . . , BM has a width set equal to the Y-direction pitch of point light sources defined on the original image O, and the individual unit areas each define a linear area where the points of computation are lined up two-dimensionally. The point of computation Q(x, ym) shown is indicative of one positioned in the m-th unit area Bm, and lies at a position indicated by a coordinate value (x, ym) in an XY coordinate system.
In this example, the interference wave intensity of the point of computation Q(x, ym) is found as follows. First, the unit area Am on the original image O corresponding to the unit area Bm to which that point of computation Q(x, ym) belongs is determined as the unit area to which computation is to be applied. And if the amplitude intensity at the position of the point of computation Q(x, ym) of an interference wave formed by object light Om1 to OmN coming out of the point light sources Pm1 to PmN in the unit area Am to be computed and reference light Lθm is determined, that then gives the interference wave intensity of the desired point of computation Q(x, ym). The reference light Lθm here is a monochromatic parallel ray parallel with, for instance, the YZ plane, and is incident on the recording medium 1 at the same angle irrespective of position. Alternatively, the angle of incidence θm of the reference light Lθm may be determined on the basis of the setting of virtual illumination and a virtual viewing point that are supposed to be a virtual viewing environment; for instance, when there is a point light source supposed upon viewing, it may be set such that the angle of incidence θ1 of reference light Lθ1 on the unit area B1 at the top end from the direction of a normal to the recording medium becomes a smaller angle δ, and the angle of incidence θM of reference light LθM on the unit area BM at the bottom end becomes a larger angle β.
With reference to
While the amplitude and phase of the object light at the points of computation Q on the divided areas are recorded by the interference fringes resulting from interference with the reference light as described above, it is here understood that the phase and amplitude may otherwise be recorded by the depth and width of grooves in one surface of a three-dimensional cell as shown in Patent Publications 4 and 5.
Alternatively, the amplitude and phase may be recorded by the method of A. W. Lohmann et al. set forth in Non-Patent Publication 1, the method of Lee set forth in Non-Patent Publication 2, etc.
With the master CGH 1 here, the Y-direction viewing angle is varied by making interference fringes as a diffraction pattern in the unit areas BE, B2, B3, . . . , Bm, . . . BM such that the pitches (spatial frequencies) are varied in the Y direction that is the second direction. For instance, the Y-direction interference fringe pitches Cm1, Cm2, Cm3, . . . , Cmt, . . . CmT in the unit area Bm of the master CGH 1 may be produced in various patterns, as shown in
As the light sources are set in this way, and as the hologram surface (i.e., the unit area Bm of the master CGH 1) is irradiated with the reference light L at a given angle of incidence for interference of the object light Om with the reference light L, it causes interference fringes having interference fringe pitches Cm1, Cm2, Cm3, . . . , Cmt, . . . CmT to appear in the unit area Bm of the master CGH 1 shown in
As the light sources are set in this way, and as the hologram surface (i.e., the unit area Bm of the master CGH 1) is irradiated with the reference light L at a given angle of incidence for interference of the object light Om with the reference light L, it causes interference fringes having interference fringe pitches Cm1, Cm2, Cm3, . . . , Cmt, . . . CmT to appear in the unit area Bm of the master CGH 1 shown in
The condition under which the master CGH 1 can be viewed in white is now explained in details.
In each unit area Bm of the master CGH 1, let θBMax be indicative of the direction of diffraction of the shortest wavelength λB (for example, 380 nm) to be used of the reconstructing illumination light 2 incident on a place having the Y-direction maximum spatial frequency (fmax) on condition that in the ZY plane, the Z direction is at the angle of 0° and the counterclockwise direction is at a positive angle, and θRmin be indicative of the direction of diffraction of the longest wavelength λR (for example, 780 nm) to be used of the reconstructing illumination light 2 incident on a place having the Y-direction minimum spatial frequency (fmin). Here if a certain relation or the following condition (1) is satisfied, there is then a position where each unit area Bm of the master CGH 1 can be viewed in white.
θRmin<θBmax (1)
Here the angle θ like the angle of diffraction is supposed to be such that in the ZY plane, the Z direction is at the angle of 0° and the counterclockwise direction is at a positive angle, and the widest possible range for θ is supposed to be −π/2<θ<π/2.
When the following diffraction formula is used,
1/f=λ/(sin θout−sin θin)
where f is the Y-direction spatial frequency, λ is the wavelength, θin is the angle of incidence of incident light and θout is the angle of output of diffracted light, there are then
θRmin=sin−1(fmin·λR+sin θL)
θBmax=sin−1(fmax·λB+sin θL)
where θL is the angle of incidence of incident light. Therefore, to have a position where each unit area Bm of the master CGH 1 can be viewed in white, θRmin and θBmax are substituted in condition (1) to satisfy the following condition (2). Moreover, to allow each unit area Bm of the master CGH 1 to be viewed in white at a viewing position, it is preferable to satisfy the following condition (3).
fmin·2R<fmax·λB (2)
θRmin<θE<θBmax (3)
where θE is the angle that directs from a point of intersection W toward the eye B where W is the point of intersection of extensions of an arrow giving θBmax and an arrow giving θRmin.
Accordingly, if conditions (2) and (3) are satisfied for each of all the unit areas Bm of the master CGH 1, the whole CGH can then be viewed in white at the viewing position.
Thus, if the master CGH 1 is fabricated such that there are differences in the Y-direction interference fringe pitches Cm1, Cm2, Cm3, . . . , Cmt, . . . CmT in the unit area, there is then a change in the angle of spreading of the diffracted light 3 in the Y direction so that it can have a wider viewing angle in the Y direction. Moreover, when white light is used as the reconstructing illumination light 2, the Y-direction viewing angle can become wider so that viewing in white is possible.
While the inventive computer-generated hologram fabrication process and the computer-generated hologram fabricated by that process have been explained with reference to some embodiments, it is understood that the present invention is never limited to them; so various modifications are possible. For instance, computer-generated holographic stereogram techniques such as the ones proposed in Patent Publications 6 and 7 may be applied to the inventive computer-generated hologram.
Number | Date | Country | Kind |
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2008-011279 | Jan 2008 | JP | national |
2008-287309 | Nov 2008 | JP | national |
Number | Name | Date | Kind |
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4568141 | Antes | Feb 1986 | A |
Number | Date | Country |
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1 486 803 | Dec 2004 | EP |
2000-214750 | Aug 2000 | JP |
2001-013858 | Jan 2001 | JP |
2002-072837 | Mar 2002 | JP |
2004-264839 | Sep 2004 | JP |
2004-309709 | Nov 2004 | JP |
2005-215570 | Aug 2005 | JP |
3810917 | Aug 2006 | JP |
0203109 | Jan 2002 | WO |
03054797 | Jul 2003 | WO |
Number | Date | Country | |
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20090185246 A1 | Jul 2009 | US |