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

Design of nonlinearly spaced phase-shifting algorithms using their frequency transfer function

Not Accessible

Your library or personal account may give you access

Abstract

Here we show how to design phase-shifting algorithms (PSAs) for nonuniform/nonlinear (NL) phase-shifted fringe patterns using their frequency transfer function (FTF). Assuming that the NL phase steps are known, we introduce the desired zeroes in the FTF to obtain the specific NL-PSA formula. The advantage of designing NL-PSAs based on their FTF is that one can reject many distorting harmonics of the fringes. We can also estimate the signal-to-noise ratio for interferograms corrupted by additive white Gaussian noise. Finally, for non-distorted noiseless fringes, the proposed NL-PSA retrieves the modulating phase error free, just as standard/linear PSAs do.

© 2019 Optical Society of America

Full Article  |  PDF Article
More Like This
Phase measurement of nonuniform phase-shifted interferograms using the frequency transfer function

Ivan Choque, Manuel Servin, Moises Padilla, Miguel Asmad, and Sotero Ordones
Appl. Opt. 58(15) 4157-4162 (2019)

Fourier spectra for nonuniform phase-shifting algorithms based on principal component analysis

Manuel Servin, Moises Padilla, Guillermo Garnica, and Gonzalo Paez
Opt. Express 27(18) 25861-25871 (2019)

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 (7)

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 (26)

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