Convergence Of Algorithms For Phase Retrieval From Two Intensity Distributions

R. H. Boucher

doi:10.1117/12.958840

22 August 1980 Convergence Of Algorithms For Phase Retrieval From Two Intensity Distributions

R. H. Boucher

Proceedings Volume 0231, 1980 Intl Optical Computing Conf I; (1980) https://doi.org/10.1117/12.958840
Event: 1980 Technical Symposium East, 1980, Washington, D.C., United States

Abstract

In a coherent imaging system, the complex amplitude and phase of the images is necessary to perform any linear processing or wavefront reconstruction. Using the image intensities measured in two defocused planes, it is possible to reconstruct the lost phase by iterative techniques. A merit function is defined as the sum over the second image plane of the squared differences between the known modulus in that plane and the modulus calculated by defocusing the image in the first plane with a phase estimate. This merit function is used to evaluate the convergence properties of two types of iterative schemes:the Misell (Gerchberg-Saxton) algorithm, and a gradient searching steepest descent method. The convergence is studied as a function of the amount of defocus between the images, complexity of the image, and noise present in the measured intensities. Variations and improvements of the methods are discussed. For example, for small amounts of defocus, the Misell algorithm has difficulty converging; the application of alternating constraints in Fourier space may help convergence. For the steepest descent and other gradient related methods, convergence of the phase depends on the value of the modulus at that point. Results of computer experiments using simulated images and pupil distributions are shown.

Citation Download Citation

R. H. Boucher "Convergence Of Algorithms For Phase Retrieval From Two Intensity Distributions", Proc. SPIE 0231, 1980 Intl Optical Computing Conf I, (22 August 1980); https://doi.org/10.1117/12.958840

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