Amplitude and phase retrieval in simultaneous π/2 phase-shifting heterodyne interferometry using the synchrosqueezing...

Area of Science:

• Optics and Photonics
• Signal Processing
• Interferometry

Background:

• Heterodyne interferometry is crucial for precise optical measurements.
• Simultaneous phase-shifting techniques are essential for real-time data acquisition.
• Accurate amplitude and phase retrieval is challenging under noisy conditions.

Purpose of the Study:

• To present a new method for amplitude and phase retrieval in simultaneous π/2 phase-shifting heterodyne interferometry.
• To enhance the accuracy of data recovery, especially for low scattering amplitudes and phase excursions.
• To validate the method using numerical simulations and experimental data.

Main Methods:

• Implementation of an optical setup for simultaneous π/2 phase-shifting heterodyne interferometry with a temporal carrier.
• Application of wavelet transform analysis on temporal intensity differences for spatiotemporal recovering of object amplitude and phase.
• Integration of the synchrosqueezing transform to improve data accuracy in noisy environments.

Main Results:

• Successful isolation and recovery of object amplitude and phase using the proposed wavelet transform method.
• Demonstrated higher accuracy in retrieving low scattering amplitudes and phase excursions with the synchrosqueezing transform framework.
• Validation of the method's performance through numerical simulations and experimental temporal speckle pattern interferometry data.

Conclusions:

• The presented method offers a robust approach for amplitude and phase retrieval in challenging interferometric conditions.
• The combination of wavelet and synchrosqueezing transforms significantly enhances measurement accuracy and noise resilience.
• The method shows potential for various applications requiring precise optical metrology.