Simultaneous reconstruction of phase and amplitude for wavefront measurements based on nonlinear optimization...

Area of Science:

• Optics and Photonics
• Wavefront Sensing and Metrology

Background:

• Accurate wavefront reconstruction is crucial for optical system performance.
• Non-perfect pupil amplitude distributions can degrade phase retrieval accuracy and convergence.

Purpose of the Study:

• To develop advanced phase retrieval algorithms for simultaneous amplitude and phase reconstruction.
• To address limitations posed by non-ideal amplitude distributions in optical testing.

Main Methods:

• Proposed hybrid point-polynomial nonlinear optimization algorithm.
• Developed point-by-point nonlinear optimization algorithm.
• Utilized modified first derivatives to mitigate intensity quantization errors.

Main Results:

• Successfully reconstructed both amplitude and phase of the wavefront.
• Demonstrated improved accuracy and robustness compared to existing methods.
• Verified algorithm performance through numerical simulations and experimental validation.

Conclusions:

• The proposed phase retrieval methods offer accurate and robust wavefront reconstruction.
• These algorithms are effective for both simple and general wavefront testing applications.
• The techniques overcome challenges associated with non-perfect pupil amplitude distributions.