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Complex wavefront sensing based on coherent diffraction imaging using vortex modulation.

Rujia Li¹, Liangcai Cao²

¹State Key Laboratory of Precision Measurement Technology and Instruments, Department of Precision Instruments, Tsinghua University, Beijing, 100084, China.

Scientific Reports

|April 28, 2021

Summary

This summary is machine-generated.

Orbital angular momentum (OAM) modulation reconstructs phase information for ill-posed phase retrieval problems. This method overcomes stagnation issues and enhances dynamic range for accurate phase reconstruction.

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Area of Science:

Optics and Photonics
Wavefront Sensing
Information Science

Background:

Phase retrieval is crucial for reconstructing wavefront phase from intensity measurements, an inherently ill-posed problem.
Physical constraints, such as wavefront modulation, can aid in solving phase retrieval.
Orbital angular momentum (OAM) has emerged as a robust modulation technique, resilient to atmospheric turbulence.

Purpose of the Study:

To investigate the use of topological modulation via OAM for solving the phase retrieval problem.
To demonstrate the effectiveness of OAM in providing intensity constraints for phase reconstruction.
To address and overcome the stagnation issue in iterative phase retrieval algorithms.

Main Methods:

Employing topological modulation with varying topological charges (l) to constrain the complex wavefront.
Iterative phase reconstruction algorithms applied without requiring prior knowledge of the phase.
Utilizing multiple topological modulations to prevent stagnation during iterative reconstruction.

Main Results:

Topological modulation significantly enhances the dynamic range of intensity constraints.
A reduction in maximum spectrum intensity by a factor of 173 was achieved with l=50.
Iterative phase reconstruction was successfully performed without a priori information.
The stagnation problem in iterative reconstruction was effectively avoided through multiple OAM modulations.

Conclusions:

Topological modulation using OAM is a viable and effective method for solving phase retrieval problems.
This approach provides robust intensity constraints and overcomes limitations of traditional iterative methods.
The technique offers a promising solution for accurate phase reconstruction in challenging conditions.