Book ChapterDOI
IV Advanced Evaluation Techniques in Interferometry
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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 interferometryread more
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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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An algorithm for the machine calculation of complex Fourier series
J.W. Cooley,John W. Tukey +1 more
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,Kazuhiro Mutoh +1 more
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.