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Proceedings Paper

Paraxial diffractive elements for space-variant linear transforms
Author(s): Stephan Teiwes; Heiko Schwarzer; Ben-Yuan Gu
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Paper Abstract

Optical linear transform architectures bear good potential for future developments of very powerful hybrid vision systems and neural network classifiers. The optical modules of such systems could be used as pre-processors to solve complex linear operations at very high speed in order to simplify an electronic data post-processing. However, the applicability of linear optical architectures is strongly connected with the fundamental question of how to implement a specific linear transform by optical means and physical imitations. The large majority of publications on this topic focusses on the optical implementation of space-invariant transforms by the well-known 4f-setup. Only few papers deal with approaches to implement selected space-variant transforms. In this paper, we propose a simple algebraic method to design diffractive elements for an optical architecture in order to realize arbitrary space-variant transforms. The design procedure is based on a digital model of scalar, paraxial wave theory and leads to optimal element transmission functions within the model. Its computational and physical limitations are discussed in terms of complexity measures. Finally, the design procedure is demonstrated by some examples. Firstly, diffractive elements for the realization of different rotation operations are computed and, secondly, a Hough transform element is presented. The correct optical functions of the elements are proved in computer simulation experiments.

Paper Details

Date Published: 18 June 1998
PDF: 10 pages
Proc. SPIE 3291, Diffractive and Holographic Device Technologies and Applications V, (18 June 1998); doi: 10.1117/12.310593
Show Author Affiliations
Stephan Teiwes, Berlin Institute of Optics (Switzerland)
Heiko Schwarzer, Berlin Institute of Optics (Germany)
Ben-Yuan Gu, Institute of Physics (China)

Published in SPIE Proceedings Vol. 3291:
Diffractive and Holographic Device Technologies and Applications V
Ivan Cindrich; Sing H. Lee, Editor(s)

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