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Windowed high-order ambiguity function method for fringe analysis.

Sai Siva Gorthi¹, Pramod Rastogi

¹Applied Computing and Mechanics Laboratory, IMAC IS ENAC EPFL, Swiss Federal Institute of Technology, 1015 Lausanne, Switzerland.

The Review of Scientific Instruments

|August 7, 2009

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This study presents a new windowed high-order ambiguity function (WHAF) method for analyzing fringe patterns in holographic interferometry. The WHAF method accurately estimates unwrapped phase distributions from single fringe patterns, even with rapid phase variations.

Area of Science:

Optics and Photonics
Metrology
Interferometry

Background:

Holographic interferometry is crucial for precise measurements.
Fringe pattern demodulation is essential for extracting phase information.
Existing methods can struggle with rapidly varying phase patterns.

Purpose of the Study:

To introduce a novel windowed high-order ambiguity function (WHAF) method.
To enable accurate phase unwrapping from single fringe patterns.
To address limitations of current demodulation techniques in holographic interferometry.

Main Methods:

Obtaining the analytic signal of fringe patterns.
Modeling fringe patterns as piecewise polynomial phase signals.
Employing a parametric estimation procedure based on HAF for phase coefficient calculation within segmented windows.

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Main Results:

Accurate and direct estimation of unwrapped phase distribution from a single fringe pattern.
Successful application to both digital and classical holographic interferometry.
Demonstrated effectiveness through simulation and experimental validation, even with rapidly varying phase.

Conclusions:

The WHAF method offers a robust solution for fringe pattern demodulation.
It provides accurate phase unwrapping, enhancing measurement capabilities in holographic interferometry.
The method is versatile and applicable to various holographic interferometry setups.