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Phase retrieval for arbitrary complex-valued objects using structured illumination.

A V Kuzmenko, O M Butok

|July 21, 2023

Summary

This summary is machine-generated.

This study introduces a new method for phase retrieval of complex-valued objects using two coded diffraction patterns (CDPs). This technique allows for accurate object reconstruction with noise resistance and minimal iterations.

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Area of Science:

Optics and Photonics
Image Reconstruction
Computational Imaging

Background:

Phase retrieval is crucial for reconstructing objects from intensity measurements.
Non-convex formulations present challenges in solving phase retrieval problems.
Complex-valued objects require specialized reconstruction techniques.

Purpose of the Study:

To propose a novel method for phase retrieval of complex-valued objects.
To address the non-convex formulation of the phase retrieval problem with support constraints.
To demonstrate the sufficiency of two coded diffraction patterns (CDPs) for object reconstruction.

Main Methods:

Utilizing two random binary amplitude masks (direct and inverse) to generate CDPs.
Applying modified error-reduction or hybrid input-output algorithms to mask+CDP pairs.
Reconstructing the object from CDPs obtained in Fresnel or Fraunhofer diffraction planes.

Main Results:

Two CDPs are sufficient to reconstruct complex-valued objects up to a global phase.
The method achieves noise-resistant and high-accuracy reconstruction.
Effective reconstruction is demonstrated for various object types with an oversampling ratio ≥ 2.

Conclusions:

The proposed method offers a robust solution for phase retrieval of complex-valued objects.
It is applicable to coherent radiation across different types.
The technique requires a small number of iterations for successful reconstruction.