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Optical Analog Computer

IP.com Disclosure Number: IPCOM000095583D
Original Publication Date: 1964-Mar-01
Included in the Prior Art Database: 2005-Mar-07
Document File: 2 page(s) / 42K

Publishing Venue

IBM

Related People

Lohmann, AW: AUTHOR

Abstract

This optical system includes light source 10, collimating lens 12, condensing lens 14, transparencies 16 and 18, and screen 20. The system can be used to solve linear differential equations with constant coefficients. A linear non-homogeneous equation can be written in general form as: (Image Omitted) Transforming to the Fourier domain, this can be written as: (Image Omitted) A mask having a transparency which varies as the above bracketed quantity is placed in the Fourier transform plane. A mask having a transparency which varies as the solution u(x, y) is located in the object plane. There results illumination which varies as the driving function f(x, y) in the image plane.

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Optical Analog Computer

This optical system includes light source 10, collimating lens 12, condensing lens 14, transparencies 16 and 18, and screen 20. The system can be used to solve linear differential equations with constant coefficients. A linear non-homogeneous equation can be written in general form as:

(Image Omitted)

Transforming to the Fourier domain, this can be written as:

(Image Omitted)

A mask having a transparency which varies as the above bracketed quantity is placed in the Fourier transform plane. A mask having a transparency which varies as the solution u(x, y) is located in the object plane. There results illumination which varies as the driving function f(x, y) in the image plane.

Alternately, a mask with a transparency which varies as the inverse of the bracketed term is placed in the Fourier transform plane. A mask having a transparency which varies as the driving function is placed in the object plane. The spacial variation of the illumination on screen 20 then represents the solution u(x, y).

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