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Book ChapterDOI

IV Advanced Evaluation Techniques in Interferometry

J. Schwider
- 01 Jan 1990 - 
- Vol. 28, pp 271-359
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TLDR
This chapter describes the advanced evaluation techniques in interferometry and identifies the types of error sources—namely, environmental errors, errors that are dependent on the method, and errors typically encountered in Interferometry.
Abstract
Publisher Summary This chapter describes the advanced evaluation techniques in interferometry The chapter discusses the methods that rely on the adjustment of a fringe pattern The chapter examines the historically older interpolation methods where the phase information is extracted from the positions of the extrema The chapter also discusses more general methods that deliver the phase in a more continuous form A comparison of the different methods for phase evaluations necessitates a consideration of the error sources and limitations These error sources for the case of phase sampling interferometry (PSI) have been discussed The error causes are classified into statistical errors (measuring errors that can be diminished in their influence by averaging) and systematic errors (errors that cannot be quenched) The interferometers used in the assessment of test data are rather complex, thus, there is some necessity for calibration The interferometer aberrations, even with ideal test samples, are caused by deviations of optical elements and to also by the state of adjustment The chapter identifies the types of error sources—namely, environmental errors, errors that are dependent on the method, and errors typically encountered in interferometry

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Citations
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Journal Article

Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry

TL;DR: In this article, a fast Fourier transform method of topography and interferometry is proposed to discriminate between elevation and depression of the object or wave-front form, which has not been possible by the fringe-contour generation techniques.
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Optical coherence tomography - principles and applications

TL;DR: OCT as discussed by the authors synthesises cross-sectional images from a series of laterally adjacent depth-scans, which can be used to assess tissue and cell function and morphology in situ.
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Digital wavefront measuring interferometer for testing optical surfaces and lenses

TL;DR: In this article, a self-scanned 1024 element photodiode array and a minicomputer are used to measure the phase (wavefront) in the interference pattern of an interferometer to lambda/100.
Journal ArticleDOI

Extended averaging technique for derivation of error-compensating algorithms in phase-shifting interferometry.

TL;DR: The new 5-frame algorithm and two new 6-frame algorithms have smaller phase errors caused by phase-shifter miscalibration than any of the common 3-, 4- or 5- frame algorithms.
Journal ArticleDOI

Encrypting three-dimensional information with digital holography

TL;DR: A method for optical encryption of three-dimensional (3D) information by use of digital holography using a phase-shifting interferometer and an intensity-recording device.
References
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Journal ArticleDOI

An algorithm for the machine calculation of complex Fourier series

TL;DR: Good generalized these methods and gave elegant algorithms for which one class of applications is the calculation of Fourier series, applicable to certain problems in which one must multiply an N-vector by an N X N matrix which can be factored into m sparse matrices.
Journal Article

Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry

TL;DR: In this article, a fast Fourier transform method of topography and interferometry is proposed to discriminate between elevation and depression of the object or wave-front form, which has not been possible by the fringe-contour generation techniques.
Journal ArticleDOI

Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry

TL;DR: In this paper, a fast Fourier transform method of topography and interferometry is proposed to discriminate between elevation and depression of the object or wave-front form, which has not been possible by the fringe-contour generation techniques.
Journal ArticleDOI

Fourier transform profilometry for the automatic measurement of 3-D object shapes

Mitsuo Takeda, +1 more
- 15 Dec 1983 - 
TL;DR: A new computer-based technique for automatic 3-D shape measurement is proposed and verified by experiments that has a much higher sensitivity than the conventional moire technique and is capable of fully automatic distinction between a depression and an elevation on the object surface.
Journal ArticleDOI

A New Calculus for the Treatment of Optical SystemsI. Description and Discussion of the Calculus

TL;DR: In this paper, the effect of a plate of anisotropic material such as a crystal on a collimated beam of polarized light may always be represented mathematically as a linear transformation of the components of the electric vector of the light.
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