Phase and amplitude reconstruction from a single carrier-frequency interferogram without phase unwrapping

Area of Science:

• Optical Metrology
• Interferometry
• Image Processing

Background:

• Phase reconstruction from interferograms is crucial in optical metrology.
• Traditional methods often require phase unwrapping, which can be complex and computationally intensive.
• Spatial-carrier interferograms offer a way to encode phase information.

Purpose of the Study:

• To develop a rapid and simplified algorithm for phase and amplitude reconstruction from single spatial-carrier interferograms.
• To eliminate the need for a phase unwrapping step in interferogram analysis.
• To enable efficient reconstruction of both phase and amplitude information.

Main Methods:

• A phase-shifting mechanism is integrated into the reconstruction process.
• The algorithm directly obtains and integrates real-value phase derivatives.
• A suitable integrating path is chosen to ensure robustness against boundary profiles.

Main Results:

• The proposed algorithm successfully reconstructs phase without unwrapping.
• Amplitude reconstruction is achieved expediently without prior phase retrieval.
• The method demonstrates insensitivity to interferogram boundary profiles.
• Feasibility is confirmed through numerical simulations and experimental validation.

Conclusions:

• The developed algorithm offers a rapid, simple, and robust solution for phase and amplitude reconstruction from single spatial-carrier interferograms.
• This approach significantly simplifies interferometric data processing.
• The method has broad applicability in optical measurement and imaging.