Integrated three dimensional display and method of recording identification information

An integrated three-dimensional display, comprising:

• a recording surface on which information for reconstructing a hologram is recorded,
• wherein the recording surface includes
• a calculated element region in which phase components of light from light converging points of a holographic reconstructed image are calculated, the calculated element region being defined by one-to-one correspondence to the light converging points, and
• a phase angle recorded area for recording a phase angle calculated based on the phase components, the phase angle recorded area includes a plurality of monochromatic regions having a uneven structure surface in which protrusion structures and recess structures are alternately arranged at a pitch that is an integral multiple of a predetermined resolution, the phase angle is recorded in an overlap area in which the calculated element region and the phase angle recorded area overlap each other, and light converges on the light converging points at specific distances from the recording surface, the specific distances being determined for the respective light converging points even when light reflected from the plurality of monochromatic regions converges,
• wherein the phase angle is calculated as φ according to the following formula:
• W
• ⁡
• (
• kx
• ,
• ky
• )
• =
• ∑
• n
• =
• 0
• N
• ⁢
• ⁢
• max
• ⁢
• ∑
• ky
• =
• Y
• ⁢
• ⁢
• min
• Y
• ⁢
• ⁢
• max
• ⁢
• ∑
• kx
• =
• X
• ⁢
• ⁢
• min
• X
• ⁢
• ⁢
• max
• ⁢
• amp
• ·
• exp
• ⁡
• (
• i
• ⁢
• ⁢
• ϕ
• )
• ⁢
• ⁢
• ϕ
• =
• π
• λ
• ·
• O
• n
• ⁡
• (
• z
• )
• ⁢
• {
• (
• O
• n
• ⁡
• (
• x
• )
• -
• kx
• )
• 2
• +
• (
• O
• n
• ⁡
• (
• y
• )
• -
• ky
• )
• 2
• }
• where (kx, ky) are coordinates of a pixel that constitutes the monochromatic regions, W (kx, ky) represents the phase components of the coordinates (kx, ky), n is an index of the light converging points Sn (n=0 to Nmax), amp is an amplitude of light at the light converging points, i is an imaginary number, λ is a wavelength of light in reconstruction of the reconstructed image, On (x, y, z) represents coordinates of the light converging points, and Xmin, Xmax, Ymin, and Ymax are coordinates indicating a range of the calculated element region defined for the respective light converging points.