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Numerical Analysis of Interference Patterns (view source)
Revision as of 18:38, 3 October 2007
, 18:38, 3 October 2007→Fourier Analysis Method
== Fourier Analysis Method ==
== 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 [1,2]. 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 [3]. 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 [1,2]. 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 [3]. 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" [3]. This amounts to the phase of the
* requires carrier frequency, narrow frequency, low noise and open fringes
* requires carrier frequency, narrow frequency, low noise and open fringes
* estimates the phase wrapped (via arctan)
* estimates the phase wrapped (via arctan)
[1] takeda et al 1982
[2] cuevas et al 2002
[3] ge et al 2001
== Phase-Locked Loop Algorithm ==
== Phase-Locked Loop Algorithm ==