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Related Experiment Video

Updated: Jul 6, 2026

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
08:39

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Published on: January 28, 2019

Bessel function output from an optical correlator with a phase-only encoded inverse filter.

J A Davis1, D M Cottrell, J Campos

  • 1Department of Physics, San Diego State University, San Diego, California 92182, USA. jdavis@sciences.sdsu.edu

Applied Optics
|March 8, 2008
PubMed
Summary

We developed a new Bessel function correlator technique. This method enhances correlation signal centering by producing a narrower dark spot, improving accuracy for arbitrary input patterns.

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Area of Science:

  • Optics and Photonics
  • Signal Processing

Background:

  • Traditional correlation methods can lack precision in pinpointing signal centers.
  • Bessel functions offer unique properties for optical signal processing.

Purpose of the Study:

  • To introduce a novel technique for generating Bessel function correlation outputs.
  • To enhance the precision of locating correlation signal centers using a narrower dark spot.

Main Methods:

  • Convolution of an inverse filter's sharp correlation with a Bessel function.
  • Encoding the Bessel function using a single phase-only liquid-crystal spatial light modulator.
  • Spatially modulating the encoded phase to achieve amplitude information and modulate diffraction efficiency.

Main Results:

  • Successful generation of Bessel function correlation for arbitrary input patterns.
  • Demonstration of a narrower central dark spot compared to normal correlation spots.
  • Experimental validation of the technique's effectiveness in locating correlation signal centers.

Conclusions:

  • The developed Bessel function correlator provides a significant improvement for precise signal center localization.
  • The technique effectively encodes both amplitude and phase information using a phase-only spatial light modulator.
  • This method offers a valuable tool for applications requiring high-accuracy correlation signal identification.