Fast phase retrieval algorithm for rotational symmetric DOE designing

Jinyu Wang; Chu Zhang; Gang Li; Yingbai Yan; Qiaofeng Tan; Guofan Jin

doi:10.1117/12.506137

3 November 2003 Fast phase retrieval algrithm for rotational symmetric DOE designing

Jinyu Wang, Chu Zhang, Gang Li, Yingbai Yan, Qiaofeng Tan, Guofan Jin

Proceedings Volume 5175, Laser Beam Shaping IV; (2003) https://doi.org/10.1117/12.506137
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States

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.

Citation Download Citation

Jinyu Wang, Chu Zhang, Gang Li, Yingbai Yan, Qiaofeng Tan, and Guofan Jin "Fast phase retrieval algrithm for rotational symmetric DOE designing", Proc. SPIE 5175, Laser Beam Shaping IV, (3 November 2003); https://doi.org/10.1117/12.506137

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