Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Phase retrieval with random phase illumination

Not Accessible

Your library or personal account may give you access

Abstract

This paper presents a detailed numerical study on the performance of the standard phasing algorithms with random phase illumination (RPI). Phasing with high resolution RPI and the oversampling ratio σ=4 determines a unique phasing solution up to a global phase factor. Under this condition, the standard phasing algorithms converge rapidly to the true solution without stagnation. Excellent approximation is achieved after a small number of iterations, not just with high resolution but also low resolution RPI in the presence of additive as well multiplicative noises. It is shown that RPI with σ=2 is sufficient for phasing complex-valued images under a sector condition and σ=1 for phasing nonnegative images. The error-reduction algorithm with RPI is proved to converge to the true solution under proper conditions.

© 2012 Optical Society of America

Full Article  |  PDF Article
More Like This
Improved success rate and stability for phase retrieval by including randomized overrelaxation in the hybrid input output algorithm

Martin Köhl, A. A. Minkevich, and Tilo Baumbach
Opt. Express 20(15) 17093-17106 (2012)

Unique phase retrieval with a bandlimited image and its Fourier transformed constraints

Kang Xiao, Xinyi Kong, and Zhongyang Wang
J. Opt. Soc. Am. A 40(12) 2223-2239 (2023)

Numerical investigation of the uniqueness of phase retrieval

J. H. Seldin and J. R. Fienup
J. Opt. Soc. Am. A 7(3) 412-427 (1990)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (8)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (88)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved