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Shape Dependence of Transmission, Reflection, and Absorption Eigenvalue Densities in Disordered Waveguides with Dissipation
Physical review B: Condensed matter and materials physics
  • Alexey Yamilov, Missouri University of Science and Technology
  • Sasha Petrenko
  • Raktim Sarma
  • Hui Cao
Abstract

The universal bimodal distribution of transmission eigenvalues in lossless diffusive systems underpins such celebrated phenomena as universal conductance fluctuations, quantum shot noise in condensed matter physics, and enhanced transmission in optics and acoustics. Here, we show that in the presence of absorption, the density of the transmission eigenvalues depends on the confinement geometry of the scattering media. Furthermore, in an asymmetric waveguide, the densities of the reflection and absorption eigenvalues also depend on the side from which the waves are incident. With increasing absorption, the density of absorption eigenvalues transforms from a single-peak to a double-peak function. Our findings open an additional avenue for coherent control of wave transmission, reflection, and absorption in random media.

Department(s)
Physics
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2016 American Physical Society (APS), All rights reserved.
Publication Date
3-1-2016
Disciplines
Citation Information
Alexey Yamilov, Sasha Petrenko, Raktim Sarma and Hui Cao. "Shape Dependence of Transmission, Reflection, and Absorption Eigenvalue Densities in Disordered Waveguides with Dissipation" Physical review B: Condensed matter and materials physics Vol. 93 Iss. 10 (2016) p. 100201-1 - 100201-5 ISSN: 1098-0121
Available at: http://works.bepress.com/alexey-yamilov/109/