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Scattering matrix theory for stochastic scalar fields.

Olga Korotkova1, Emil Wolf

  • 1Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 7, 2007
PubMed
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This study introduces a generalized scattering matrix to analyze stochastic scalar field scattering in various media. The matrix simplifies calculations in the first Born approximation and reveals changes in field coherence.

Area of Science:

  • * Physics
  • * Wave phenomena
  • * Optics

Background:

  • * Stochastic scalar fields are fundamental in various physical phenomena.
  • * Understanding wave scattering in deterministic and random media is crucial.
  • * Characterizing field coherence changes post-scattering requires advanced methods.

Purpose of the Study:

  • * To introduce a generalized scattering matrix for stochastic scalar fields.
  • * To analyze scattering in both deterministic and random finite media.
  • * To investigate the matrix's utility in determining spectral intensity and coherence changes.

Main Methods:

  • * Theoretical analysis of wave scattering.
  • * Application of the first Born approximation.
  • * Development of a generalized scattering matrix formulation.

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Main Results:

  • * A simplified expression for the scattering matrix in the first Born approximation.
  • * The matrix effectively relates incident and scattered field angular correlation functions.
  • * Demonstrated ability to predict spectral intensity distribution and coherence state changes.

Conclusions:

  • * The generalized scattering matrix provides a powerful tool for analyzing wave scattering.
  • * The first Born approximation offers a computationally efficient approach.
  • * Scattering significantly impacts field coherence, quantifiable by the scattering matrix.