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Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

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Phase retrieval via spatial light modulator phase modulation in 4f optical setup: numerical inverse imaging with

Vladimir Katkovnik¹, Jaakko Astola

¹Department of Signal Processing, Tampere University of Technology, Tampere, Finland. vladimir.katkovnik@tut.fi

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|January 6, 2012

Summary

This study presents an advanced algorithm for reconstructing wave fields from noisy optical data. The method enhances imaging accuracy by effectively suppressing artifacts common in optical diffraction.

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Area of Science:

Optics and Photonics
Computational Imaging

Background:

Wave field reconstruction is crucial in various optical applications.
Conventional methods often suffer from artifacts due to diffraction.
Spatial light modulators (SLMs) are used for wave field modulation.

Purpose of the Study:

To develop an optimal algorithm for reconstructing complex-valued wave fields.
To suppress artifacts in optical imaging using a novel approach.
To improve the accuracy and sharpness of reconstructed wave fields.

Main Methods:

Utilizing a 4f optical setup with an SLM in the focal plane.
Employing a constrained maximum likelihood formulation for optimal reconstruction.
Implementing an iterative algorithm with decoupled inverse propagation and filtering.
Applying sparse modeling for phase and amplitude filtering.

Main Results:

Successful reconstruction of phase and amplitude from noisy intensity observations.
Significant suppression of typical artifacts like wiggles and ringing.
Achieved high-accuracy filtering and sharp imaging of complex-valued wave fields.
Demonstrated superiority over conventional reconstruction algorithms.

Conclusions:

The proposed iterative algorithm offers optimal wave field reconstruction.
Sparse modeling is effective for advanced filtering and artifact suppression.
This method enhances the quality and reliability of optical imaging.