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Related Experiment Video

Updated: May 8, 2026

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels
11:34

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels

Published on: September 8, 2016

Filtering random matrices: the effect of incomplete channel control in multiple scattering.

A Goetschy1, A D Stone

  • 1Department of Applied Physics, Yale University, New Haven, Connecticut 06520, USA. arthur.goetschy@yale.edu

Physical Review Letters
|August 27, 2013
PubMed
Summary

Incomplete channel control in disordered media causes a loss of correlation in scattering properties. This transition from coherent diffusion to random matrix behavior impacts information capacity and experimental outcomes.

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Optical Scatter Microscopy Based on Two-Dimensional Gabor Filters
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Optical Scatter Microscopy Based on Two-Dimensional Gabor Filters

Published on: June 2, 2010

Related Experiment Videos

Last Updated: May 8, 2026

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels
11:34

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels

Published on: September 8, 2016

Optical Scatter Microscopy Based on Two-Dimensional Gabor Filters
14:58

Optical Scatter Microscopy Based on Two-Dimensional Gabor Filters

Published on: June 2, 2010

Area of Science:

  • Physics
  • Condensed Matter Physics
  • Wave Phenomena

Background:

  • Disordered multiple-scattering media exhibit complex wave behavior.
  • Scattering matrix statistical properties are crucial for understanding wave transport.
  • Controlling input/output channels (m1, m2) influences wave dynamics.

Purpose of the Study:

  • To develop an analytic random matrix theory for incomplete channel control.
  • To investigate the impact of reduced channel control on scattering matrix statistics.
  • To analyze the transition in transmission eigenvalue distributions.

Main Methods:

  • Analytic random matrix theory.
  • Statistical analysis of the scattering matrix.
  • Investigation of transmission eigenvalue densities.

Main Results:

  • Reduced channel control (m1, m2 < 1) shifts eigenvalue density from bimodal to Gaussian.
  • A rapid loss of access to open eigenchannels is observed.
  • Correlation loss increases the information capacity per channel.

Conclusions:

  • Incomplete channel control fundamentally alters the statistical properties of disordered media.
  • The findings have significant implications for optical and microwave experiments.
  • Understanding these effects is key for manipulating wave transport in complex systems.