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The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
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Published on: August 12, 2013

Angular and radial mode analyzer for optical beams.

Ayman F Abouraddy1, Timothy M Yarnall, Bahaa E A Saleh

  • 1CREOL, The College of Optics Photonics, University of Central Florida, Orlando, Florida 32816, USA. raddy@creol.ucf.edu

Optics Letters
|December 6, 2011
PubMed
Summary
This summary is machine-generated.

This study presents a novel method to analyze optical beams by measuring their angular and radial properties using a modified interferometer. The technique efficiently extracts modal coefficients for optical angular momentum (OAM) modes.

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Area of Science:

  • Optics and Photonics
  • Quantum Optics

Background:

  • Characterizing the modal content of optical beams is crucial for applications in optical communications and quantum information.
  • Existing methods often struggle to simultaneously determine both angular and radial properties of optical beams.

Purpose of the Study:

  • To develop and analyze a novel interferometric approach for comprehensively characterizing scalar optical beams.
  • To determine both the angular and radial modal content of a beam in terms of optical angular momentum (OAM) modes.

Main Methods:

  • A modified Mach-Zehnder interferometer was designed, incorporating a spatial rotator for angular mode analysis.
  • An optical realization of the fractional Hankel transform (fHT) was employed for radial mode determination.
  • A two-dimensional (2D) interferogram was generated by varying the rotation angle and fHT order.

Main Results:

  • The proposed method allows for the simultaneous measurement of angular and radial modal content.
  • Modal coefficients were successfully extracted from the 2D interferogram using 2D Fourier analysis.
  • The approach provides a robust way to quantify OAM modes in scalar optical beams.

Conclusions:

  • The described interferometric technique offers an efficient and accurate method for full modal decomposition of optical beams.
  • This approach has potential applications in advanced optical metrology and OAM-based technologies.