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We developed a new theory for wave propagation in disordered media, improving upon existing models by including coherent effects and working beyond the diffusive regime. This framework accurately describes transmission eigenvalues and incorporates experimental factors like absorption.

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Area of Science:

  • Wave propagation
  • Disordered media physics
  • Quantum transport

Background:

  • Classical radiative transport theory describes wave scattering but lacks coherence.
  • Existing models like DMPK theory rely on isotropy, limiting their applicability.
  • Coherent effects in disordered media are crucial but lack ab initio theoretical treatment.

Purpose of the Study:

  • To present a field-theoretic framework for transmission eigenvalues in coherent wave propagation.
  • To develop a matrix-valued radiance transport equation capturing coherent effects.
  • To extend theoretical descriptions beyond the diffusive and isotropic regimes.

Main Methods:

  • Field-theoretic approach to characterize transmission eigenvalue distributions.
  • Development of a matrix-valued radiance transport equation.
  • Numerical simulations based on the microscopic wave equation for validation.

Main Results:

  • A novel transport equation for matrix-valued radiance, analogous to classical radiative transport.
  • The theory accurately describes transmission eigenvalue distributions in quasiballistic regimes.
  • Successful incorporation of absorption and incomplete channel control into the framework.

Conclusions:

  • The presented framework offers a more versatile and accurate description of wave propagation in disordered media.
  • It overcomes limitations of previous theories by not assuming isotropy.
  • The theory is validated and broadly applicable to complex wave experiments.