Model-based processing of a holographic moiré.

Area of Science:

• Optics and Photonics
• Metrology
• Signal Processing

Background:

• Holographic moiré interferometry is sensitive to noise and calibration errors.
• Accurate phase determination is crucial for quantitative analysis in holographic moiré.
• Existing methods struggle with nonsinusoidal waveforms, noise, and piezoelectric device miscalibration.

Purpose of the Study:

• To propose a robust state space model for dual phase determination in holographic moiré.
• To enhance phase extraction accuracy under adverse conditions like noise and PZT miscalibration.
• To improve the performance of the Toeplitz approximation method (TAM) for phase estimation.

Main Methods:

• Development of a state space model incorporating two piezoelectric transducers (PZTs).
• Application of the Toeplitz approximation method (TAM) for phase determination.
• Introduction of a denoising step within the state-feedback matrix of the TAM.

Main Results:

• The proposed model successfully determines dual phase distributions in holographic moiré.
• Phase terms can be accurately estimated even at very low signal-to-noise ratios.
• The modified TAM shows superior performance compared to the original TAM and polynomial-based methods.

Conclusions:

• The novel state space model offers a robust solution for phase determination in holographic moiré.
• The integrated denoising step significantly enhances the method's resilience to noise and calibration errors.
• This approach advances quantitative phase measurement in challenging optical metrology scenarios.