TY - JOUR

T1 - Wave transport along surfaces with random impedance

AU - Bal, Guillaume

AU - Freilikher, Valentin

AU - Papanicolaou, George

AU - Ryzhik, Leonid

PY - 2000/9/1

Y1 - 2000/9/1

N2 - We study transport and diffusion of classical waves in two-dimensional disordered systems and in particular surface waves on a flat surface with randomly fluctuating impedance. We derive from first principles a radiative transport equation for the angularly resolved energy density of the surface waves. This equation accounts for multiple scattering of surface waves as well as for their decay because of leakage into volume waves. We analyze the dependence of the scattering mean free path and of the decay rate on the power spectrum of fluctuations. We also consider the diffusion approximation of the surface radiative transport equation and calculate the angular distribution of the energy transmitted by a strip of random surface impedance.

AB - We study transport and diffusion of classical waves in two-dimensional disordered systems and in particular surface waves on a flat surface with randomly fluctuating impedance. We derive from first principles a radiative transport equation for the angularly resolved energy density of the surface waves. This equation accounts for multiple scattering of surface waves as well as for their decay because of leakage into volume waves. We analyze the dependence of the scattering mean free path and of the decay rate on the power spectrum of fluctuations. We also consider the diffusion approximation of the surface radiative transport equation and calculate the angular distribution of the energy transmitted by a strip of random surface impedance.

UR - http://www.scopus.com/inward/record.url?scp=0034261164&partnerID=8YFLogxK

U2 - 10.1103/physrevb.62.6228

DO - 10.1103/physrevb.62.6228

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AN - SCOPUS:0034261164

SN - 0163-1829

VL - 62

SP - 6228

EP - 6240

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 10

ER -