Coherent and Incoherent Phase Retrieval Using Gaussian Beam Modes

Abstract

Phase retrieval techniques are important at terahertz frequencies where it is often difficult to determine the phase of a field directly. In this paper we present a phase retrieval technique based on a Gaussian-Beam formalism. We show how the complex mode coefficients of a coherent field can be determined by fitting to intensity distributions at any two planes. We extend the analysis to incoherent or partially-coherent fields by working in terms of coherence matrices rather than mode coefficients. Working with the coherence matrix also allows us to vary the entropy of the field as part of the fitting process and to handle the problem of noise in the measurements more correctly. We illustrate our techniques with some simple examples.

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Document Details

Document Type
Technical Report
Publication Date
Sep 29, 2000
Accession Number
ADP011762

Entities

People

  • Creidhe O'sullivan
  • J. A. Murphy
  • Stafford Withington

Organizations

  • University of Cambridge

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Amplitude
  • Coefficients
  • Eigenvalues
  • Electromagnetic Scattering
  • Electron Microscopes
  • Electron Optics
  • Far Field
  • Frequency
  • Intensity
  • Measurement
  • Microscopy
  • Optical Lattices
  • Optics
  • Power Series
  • Scattering
  • Technical Information Centers
  • Terahertz Radiation

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Optical Physics and Photonics.
  • Wave Propagation and Nonlinear Chaotic Dynamics.