Edge phase retrieval for dispersion measurements with wavelet decomposition and reconstruction

Area of Science:

• Optics and Photonics
• Materials Science

Background:

• Accurate dispersion measurements are crucial for understanding optical material properties.
• Traditional phase retrieval methods can be sensitive to noise and environmental factors.

Purpose of the Study:

• To develop a robust and accurate phase retrieval method for dispersion measurements.
• To utilize the discrete wavelet transform for signal denoising and phase extraction in spectrally resolved interferometry.

Main Methods:

• Decomposition and reconstruction of interferograms using the Daubechies-4 (db4) wavelet for signal denoising.
• Accurate retrieval of edge phase from enhanced interferometric fringes.
• Dispersion measurements of SF66 glasses with varying thicknesses.

Main Results:

• The discrete wavelet transform method significantly improves interferogram clarity and edge fringe definition.
• Achieved high accuracy in dispersion measurements, with maximum relative errors of 1.1% for 10 mm and 0.15% for 200 mm SF66 samples.
• Demonstrated system robustness against noise and environmental perturbations.

Conclusions:

• The proposed discrete wavelet transform-based phase retrieval method offers high accuracy and robustness for dispersion measurements.
• This technique shows significant potential for applications in nonlinear optics and ultrafast laser systems.
• The edge preservation and accuracy make it a valuable tool for optical metrology.