Paraxial diffractive elements for space-variant linear transforms

Stephan Teiwes; Heiko Schwarzer; Ben-Yuan Gu

doi:10.1117/12.310593

18 June 1998 Paraxial diffractive elements for space-variant linear transforms

Stephan Teiwes, Heiko Schwarzer, Ben-Yuan Gu

Proceedings Volume 3291, Diffractive and Holographic Device Technologies and Applications V; (1998) https://doi.org/10.1117/12.310593
Event: Optoelectronics and High-Power Lasers and Applications, 1998, San Jose, CA, United States

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.

Citation Download Citation

Stephan Teiwes, Heiko Schwarzer, and Ben-Yuan Gu "Paraxial diffractive elements for space-variant linear transforms", Proc. SPIE 3291, Diffractive and Holographic Device Technologies and Applications V, (18 June 1998); https://doi.org/10.1117/12.310593

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
10 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Transform theory

Chemical elements

Optical components

Hough transforms

Computing systems

Wave propagation

Computer simulations

Show All Keywords

Keywords/Phrases

Search In:

Publication Years