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Wavefront reconstruction of discontinuous phase objects from optical deflectometry.

Ricardo Legarda-Saenz, Jorge L Flores, Manuel Servin

|September 14, 2023

Summary

This summary is machine-generated.

This study presents a novel method for wavefront retrieval in phase measuring deflectometry, overcoming challenges with object discontinuities. The approach uses L^p-norm minimization to reconstruct wavefronts accurately without external parameters.

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Area of Science:

Optics and Photonics
Computational Imaging
Metrology

Background:

Phase measuring deflectometry (PMD) is crucial for surface analysis.
Retrieving wavefronts from objects with discontinuities is a significant challenge in PMD.

Purpose of the Study:

To develop a robust method for wavefront retrieval in PMD, particularly for surfaces with non-differentiable gradient fields.
To address the limitations of existing wavefront reconstruction techniques.

Main Methods:

Integration of gradient fields using an L^p-norm minimization problem.
Solving the resulting nonlinear partial differential equation with a fast numerical method.
Parameter-free reconstruction approach.

Main Results:

Successful numerical reconstructions using synthetic and experimental data.
Demonstrated capability to handle discontinuities and non-differentiable gradient fields.
The method is independent of external parameters.

Conclusions:

The proposed L^p-norm minimization method effectively reconstructs wavefronts from challenging surfaces.
This approach offers a robust and parameter-free solution for phase measuring deflectometry.
The technique shows promise for advanced optical metrology applications.