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

Phase retrieval with the transport-of-intensity equation. II. Orthogonal series solution for nonuniform illumination

Not Accessible

Your library or personal account may give you access

Abstract

In a previous paper [ J. Opt. Soc. Am. A 12, 1932 ( 1995)] we presented a method for phase recovery with the transport-of-intensity equation by use of a series expansion. Here we develop a different method for the solution of this equation, which allows recovery of the phase in the case of nonuniform illumination. Though also based on the orthogonal series expansion, the new method does not require any separate boundary conditions and can be more easily adjusted for apertures of various shapes. The discussion is primarily for the case of a circular aperture and Zernike polynomials, but we also outline the solution for a rectangular aperture and Fourier harmonics. The latter example may have some substantial advantages, given the availability of the fast Fourier transform.

© 1996 Optical Society of America

Full Article  |  PDF Article
More Like This
Phase retrieval with the transport-of-intensity equation: matrix solution with use of Zernike polynomials

T. E. Gureyev, A. Roberts, and K. A. Nugent
J. Opt. Soc. Am. A 12(9) 1932-1941 (1995)

Topography retrieval using different solutions of the transport intensity equation

Shirly V. Pinhasi, Roger Alimi, Lior Perelmutter, and Shalom Eliezer
J. Opt. Soc. Am. A 27(10) 2285-2292 (2010)

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 (6)

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

Tables (6)

You do not have subscription access to this journal. Article tables 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 (44)

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