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Generalized phase-shifting interferometry by use of a direct stochastic algorithm for global search.
Abhijit Patil1, Benny Raphael, Pramod Rastogi
1Applied Computing and Mechanics Laboratory, Swiss Federal Institute of Technology, 1015 Lausanne, Switzerland.
Optics Letters
|July 6, 2004
Summary
A novel phase-shifting interferometry technique accurately determines unknown phase steps using the Probabilistic Global Search Lausanne (PGSL) algorithm. This method corrects for piezoelectric device (PZT) nonlinearity, improving phase determination accuracy.
Area of Science:
- Optics and Photonics
- Metrology
- Signal Processing
Background:
- Phase-shifting interferometry is crucial for precise optical measurements.
- Piezoelectric device (PZT) nonlinearity introduces significant errors in phase step determination.
- Existing techniques for unknown phase steps have limitations.
Purpose of the Study:
- To develop a new phase-shifting interferometric technique for accurate phase step determination.
- To address and mitigate errors caused by PZT nonlinearity.
- To overcome limitations of current methods for calculating unknown phase steps.
Main Methods:
- A novel phase-shifting interferometric technique is introduced.
- The Probabilistic Global Search Lausanne (PGSL) algorithm is employed to determine unknown phase steps.
- PGSL algorithm models PZT response by matching predicted and measured data, followed by linear regression for phase determination.
Main Results:
- The PGSL algorithm effectively identifies PZT nonlinearity characteristics.
- The unknown phase step is calculated with a high accuracy of 0.097% error.
- The proposed method demonstrates superior performance compared to existing techniques.
Conclusions:
- The developed technique accurately determines unknown phase steps in interferometry.
- The PGSL algorithm provides a robust solution for PZT nonlinearity compensation.
- This advancement enhances the precision of interference phase determination.