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Phase-recovery improvement using analytic wavelet transform analysis of a noisy interferogram cepstrum
Pablo Etchepareborda1, Ana Laura Vadnjal, Alejandro Federico
1Electrónica e Informática, Instituto Nacional de Tecnología Industrial, San Martín, Argentina. pabloe@inti.gov.ar
Optics Letters
|October 9, 2012
Summary
This study enhances optical phase recovery by extending a digital holography technique. Analytic wavelet analysis improves phase retrieval in interferometric methods using carrier modulation.
Area of Science:
- Optical Physics
- Signal Processing
Background:
- Optical interferometric methods often face phase-recovery challenges.
- Carrier modulation is used in some interferometric techniques.
- Digital holography has advanced reconstruction methods.
Purpose of the Study:
- To extend nonlinear reconstruction from digital holography to other interferometric methods.
- To improve phase-recovery accuracy in carrier-modulated interferometry.
- To analyze the benefits and drawbacks of the proposed framework.
Main Methods:
- Extension of exact nonlinear reconstruction technique.
- Introduction of analytic wavelet analysis.
- Cepstrum transformation and wavelet analysis of interferograms.
- Numerical simulations on singular scalar light fields and temporal speckle pattern interferometry.
Main Results:
- The proposed technique successfully extends to phase recovery in carrier-modulated interferometry.
- Analytic wavelet analysis in cepstrum ridges correlates with standard wavelet analysis.
- Phase-recovery process is demonstrably improved.
- Framework advantages and limitations were identified through simulations.
Conclusions:
- The extended nonlinear reconstruction technique, enhanced by analytic wavelet analysis, offers improved phase recovery.
- This approach is applicable to various optical interferometric methods.
- Numerical simulations validate the effectiveness and highlight the scope of the method.
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