Method of producing a holographic projection screen for displaying a three-dimensional color images

A method of producing a holographic screen for displaying a stereoscopic or multiview color image, comprising the steps of:

• placing a photoplate on an x-y plane of a three dimensional space, wherein the center of the photoplate being disposed in the origin of a three-dimensional space;
• splitting the laser beam into two beams:
• reference beam and object beam, both beams being used to illuminate the photoplate surface;
• shaping the reference beam as a spherical wave diverging from a point on a z-axis which is located a distance R1 from the photoplate center;
• shaping the object beam so as to illuminate the photoplate through an elongated narrow slit-shaped diffuser inclined to the photoplate surface;
• recording an interference pattern, which is arising as a result of the superposition of the reference wave with an object wave from the diffuser on the photoplate;
• whereby the stereoscopic or multiview three dimensional color images can be displayed on a recorded screen by projectors disposed at a distance R3 from the screen, if a viewer's eyes are placed at viewing zones which are located behind the screen at a distance R4, the viewing zones being composed of superposed diffuser's real images of the different colors;
• wherein the coordinates of the diffuser point, which is responsible for the contribution of a light with a wavelength λ2 in the viewing zone, are calculated from the following equations:
• k2r3+k1(r1−r2)=−k2r4+const (1)
• α = sin - 1 ⁡ [ k 2 k 1 ⁢ sin ⁢ ⁢ β ] = sin - 1 ⁡ [ λ 1 λ 2 ⁢ sin ⁢ ⁢ β ] ( 2 ) R 2 = R 1 1 + 2 ⁢ λ 1 ⁢ R 1 λ 2 ⁢ R 4 ( 3 )
• where r1 is the distance between an arbitrary point (x,y) on the photoplate and a position of the source of the reference beam;
• r2 and R2 are the distances between a point (x,y) on the photoplate and a point on the diffuser and between the coordinate origin and the same diffuser point;
• α is the angle between R2 straight line and the positive z-axis;
• r3 is the distance between a point (x,y) on the photoplate and a point source of the projection beam;
• r4 is the distance between a point (x,y) on the photoplate and a viewing zone;
• R4 is the distance between an origin and a viewing zone;
• β is the angle between R4 straight line and the negative z-axis;
• λ1 and λ2 represent wavelengths of the recording and projecting waves, respectively;
• k1 and k2 are wave numbers of the recording and projecting waves, respectively;
• wherein the diffuser's length and position are calculated using equations (2) and (3) for covering an entire spectral range of a projected image.