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Proceedings Paper

Fast phase retrieval algrithm for rotational symmetric DOE designing
Author(s): Jinyu Wang; Chu Zhang; Gang Li; Yingbai Yan; Qiaofeng Tan; Guofan Jin
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Paper Abstract

For the design of DOE with rotational symmetric phase distribution, the Fourier Transform (FT) and Inverse Fourier Transform (IFT) take the form of the first order of Hankel transform. The speed of numerical calculation for Hankel transform becomes the bottleneck of phase retrieval algorithms. A new fast Hankel transform method is applied to DOE designing process, in which Hankel transform is achieved by one time's of projection integration and one time's of Fast Fourier Transform (FFT). Utilizing the merits of FFT, speed of Hankel transform is greatly improved. Therefore, rotational symmetric DOE can be designed with fast speed and good designed result can be obtained more easily. Some examples of DOE designing with the help of FHT are given.

Paper Details

Date Published: 3 November 2003
PDF: 4 pages
Proc. SPIE 5175, Laser Beam Shaping IV, (3 November 2003); doi: 10.1117/12.506137
Show Author Affiliations
Jinyu Wang, Ordnance Engineering College (China)
Chu Zhang, Ordnance Engineering College (China)
Gang Li, Ordnance Engineering College (China)
Yingbai Yan, Tsinghua Univ. (China)
Qiaofeng Tan, Tsinghua Univ. (China)
Guofan Jin, Tsinghua Univ. (China)


Published in SPIE Proceedings Vol. 5175:
Laser Beam Shaping IV
Fred M. Dickey; David L. Shealy, Editor(s)

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