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Numerical Analysis of Interference Patterns (view source)
Revision as of 20:22, 16 January 2008
, 20:22, 16 January 2008→Fourier Analysis Method
The Fourier Analysis method of interferograms was created in 1982 by M. Takeda, H. Ina and S. Kobayashi and originally intended as an alternative to Moire Topography and the phase-shifting technique [[#References|[2]]],[[#References|[3]]] . However, this method was ineffective at analyzing closed fringe patterns. A revision to the method, solved this problem by utilizing a Cartesian to polar coordinate transform [[#References|[4]]]. The result of which could then be analyzed using the original method proposed.
The Fourier Analysis method of interferograms was created in 1982 by M. Takeda, H. Ina and S. Kobayashi and originally intended as an alternative to Moire Topography and the phase-shifting technique [[#References|[2]]],[[#References|[3]]] . However, this method was ineffective at analyzing closed fringe patterns. A revision to the method, solved this problem by utilizing a Cartesian to polar coordinate transform [[#References|[4]]]. The result of which could then be analyzed using the original method proposed.
The revised Fourier Analysis method does have several limitations. The first requirement is that the "measurement wave front be a monotonic function in the direction of the carrier frequency" [[#References|[4]]]. For instance, if the surface to be analyzed resemble the image to the right were analyzed by the above method, it would look no different than a surface that decreased or increased from top to bottom. In order to analyze such a fringe pattern generated by such a surface, an additional fringe pattern giving the carrier frequency must be used.
The revised Fourier Analysis method does have several limitations. The first requirement is that the "measurement wave front be a monotonic function in the direction of the carrier frequency" [[#References|[4]]]. For instance, if the surface resembling the Mexican hat function shown above were analyzed by the revised Fourier Analysis method, the result would look no different than a surface that decreased or increased from top to bottom. In order to analyze a fringe pattern generated by such a surface, an additional fringe pattern giving the carrier frequency must be used.
== Regularization Algorithms==
== Regularization Algorithms==