Efficient design of paraxial diffractive phase elements with descent search methods

Stephan Teiwes; Brigitte Schillinger; Thomas Beth; Frank Wyrowski

doi:10.1117/12.207489

20 April 1995 Efficient design of paraxial diffractive phase elements with descent search methods

Stephan Teiwes, Brigitte Schillinger, Thomas Beth, Frank Wyrowski

Proceedings Volume 2404, Diffractive and Holographic Optics Technology II; (1995) https://doi.org/10.1117/12.207489
Event: Photonics West '95, 1995, San Jose, CA, United States

Abstract

A paraxial diffractive element is defined by a signal wave which is specified in a window of finite extent. The iterative Fourier transform algorithm is a well-known method to iteratively encode paraxial diffractive elements by making use of parameters of freedom. However, the algorithm suffers from a slow convergence if the parameters of freedom are limited. Thus, there is a demand for more efficient encoding strategies. Fienup considered to use descent methods for solving phase-retrieval problems which turned out to be very efficient. In this paper, we modify his theory that it can be applied for the design of diffractive phase elements. Computer simulations document that descent methods have a clearly better performance than the iterative Fourier transform algorithm.

Citation Download Citation

Stephan Teiwes, Brigitte Schillinger, Thomas Beth, and Frank Wyrowski "Efficient design of paraxial diffractive phase elements with descent search methods", Proc. SPIE 2404, Diffractive and Holographic Optics Technology II, (20 April 1995); https://doi.org/10.1117/12.207489

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