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

Use of the fast Fourier transform method for analyzing linear and equispaced Fizeau fringes

Not Accessible

Your library or personal account may give you access

Abstract

The Fourier transform method is applied to analyze the initial phase of linear and equispaced Fizeau fringes. We develop an algorithm for high-precision phase measurement by using the Fourier coefficient that corresponds to the spatial frequency of the Fizeau fringes, and we describe methods for determining the fringe carrier frequency. Errors caused by carrier frequency fluctuation and data truncation are studied theoretically and by computer simulation. To demonstrate the method we apply it to the real-time calibration of a piezoelectric transducer mirror in a Twyman–Green interferometer.

© 1994 Optical Society of America

Full Article  |  PDF Article
More Like This
Multiplicative moiré two-beam phase-stepping and Fourier-transform methods for the evaluation of multiple-beam Fizeau patterns: a comparison

Benito V. Dorrío, Carlos López, José M. Alén, Javier Bugarín, Antonio Fernández, Angel F. Doval, Jesús Blanco-García, Mariano Pérez-Amor, and José L. Fernández
Appl. Opt. 37(10) 1945-1952 (1998)

Multichannel Fourier fringe analysis as an aid to automatic phase unwrapping

David R. Burton and Michael J. Lalor
Appl. Opt. 33(14) 2939-2948 (1994)

Coordinate-transform technique for closed-fringe analysis by the Fourier-transform method

Zongtao Ge, Fumio Kobayashi, Shinichi Matsuda, and Mitsuo Takeda
Appl. Opt. 40(10) 1649-1657 (2001)

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

Equations (29)

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