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# Algorithm for Computing Kinoform and Hologram Diffusers

IP.com Disclosure Number: IPCOM000075051D
Original Publication Date: 1971-Jul-01
Included in the Prior Art Database: 2005-Feb-24
Document File: 2 page(s) / 21K

IBM

## Related People

Hirsch, PM: AUTHOR [+3]

## Abstract

One method of calculating an image oriented diffuser for use in kinoform or hologram applications includes five iterative steps. (Image Omitted)

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Algorithm for Computing Kinoform and Hologram Diffusers

One method of calculating an image oriented diffuser for use in kinoform or hologram applications includes five iterative steps.

(Image Omitted)

One difficulty occurs when T(x) = 0. Then the phase R'(x) is lost in the iteration scheme for those values of x where T(x) = 0. It has been found experimentally that if the 0 values are replaced by epsilon, where epsilon is a small number then the iteration scheme converges faster and absolute value W"(x) is closer to a constant, in the least squares sense.

For example if an aperture

0 J = 1, 16

T(J) = 1 J = 17, 48

0 J = 49, 64 is used this might be modified to an aperture epsilon J = 1, 16

T(J) = 1 J = 17, 48

epsilon J = 49, 64 where epsilon = 0.15. In this case intensity in the image would be lost by the amount epsilon/2/, which for the above case would be 0.72 units or about 2% of the total energy. However, there would be a gain in both signal to noise and in the speed of convergence of the iteration scheme.

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