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Filtering random matrices: the effect of incomplete channel control in multiple scattering
1Department of Applied Physics, Yale University, New Haven, Connecticut 06520, USA. arthur.goetschy@yale.edu
Physical Review Letters
|August 27, 2013
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.
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.
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