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Zero-mean circular Bessel statistics and Anderson localization.

Jason A Newman1, Yulu Chen1, Kevin J Webb1

  • 1School of Electrical and Computer Engineering, Purdue University, 465 Northwestern Avenue, West Lafayette, Indiana 47907-1285, USA.

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Summary
This summary is machine-generated.

A new circular Bessel density function describes electromagnetic fields in Anderson localization, offering a novel measure for strongly scattering media. This advances statistical optics beyond the Gaussian framework for random media analysis.

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Area of Science:

  • Optics and Photonics
  • Condensed Matter Physics
  • Wave Phenomena

Background:

  • Current statistical optics relies on Gaussian density functions, primarily for weakly interacting scatterers.
  • Understanding electromagnetic field statistics in strongly scattering media, particularly in the Anderson localization regime, remains a challenge.

Purpose of the Study:

  • To introduce and validate a circular Bessel density function for describing electromagnetic field statistics in the Anderson localization regime.
  • To provide a new analytical tool for characterizing random scattering media and improving imaging through them.

Main Methods:

  • Numerical simulation of terahertz (THz) fields in strongly scattering media.
  • Analysis of field statistics using the proposed circular Bessel density function.
  • Comparison with the established Gaussian density function framework.

Main Results:

  • The circular Bessel density function accurately describes electromagnetic field statistics in the Anderson localization regime.
  • This function serves as a quantitative measure for localized fields, analogous to the Gaussian function's role for weak scattering.
  • Demonstrated utility with numerical terahertz field data.

Conclusions:

  • The circular Bessel density function offers a robust framework for understanding wave propagation in random media.
  • This provides a new method for random scattering media characterization and enhances imaging capabilities in complex environments.