Transmission eigenchannels in a disordered medium

Wonjun Choi, Allard P. Mosk, Q Han Park, Wonshik Choi

Research output: Contribution to journalArticle

72 Citations (Scopus)

Abstract

While the distribution of the transmission eigenvalues of a disordered medium is well understood in the context of random-matrix theory, the properties of eigenchannels have remained unexplored. In this study, we have solved electromagnetic wave propagation through a disordered medium using the finite-difference time-domain method, we numerically constructed a transmission matrix in an optical regime, and we obtained its eigenchannels as well as its eigenvalues. We observe that open eigenchannels enhance the energy stored inside the disordered medium. From mode decomposition, we prove that eigenchannels contribute to a single-channel optimizing mode, which is realized in recent experiments by I. M. Vellekoop [Phys. Rev. LettPRLTAO0031-900710.1103/ PhysRevLett.101.120601 101, 120601 (2008)], in proportion to their eigenvalues. Our study will pave the way for experimental approaches to finding open eigenchannels and their potential use for imaging through turbid media and random lasers.

Original languageEnglish
Article number134207
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume83
Issue number13
DOIs
Publication statusPublished - 2011 Apr 27

Fingerprint

Electromagnetic wave propagation
eigenvalues
Finite difference time domain method
Decomposition
Imaging techniques
Lasers
matrix theory
finite difference time domain method
wave propagation
proportion
electromagnetic radiation
Experiments
decomposition
matrices
lasers
endoribonuclease Phy M
energy

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Transmission eigenchannels in a disordered medium. / Choi, Wonjun; Mosk, Allard P.; Park, Q Han; Choi, Wonshik.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 83, No. 13, 134207, 27.04.2011.

Research output: Contribution to journalArticle

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