Communications in Mathematical Sciences
Volume 11 (2013)
Wave propagation in waveguides with random boundaries
Pages: 233 – 267
We give a detailed analysis of long range cumulative scattering effects from rough boundaries in waveguides. We assume small random fluctuations of the boundaries and obtain a quantitative statistical description of the wave field. The method of solution is based on coordinate changes that straighten the boundaries. The resulting problem is similar from the mathematical point of view to that of wave propagation in random waveguides with interior inhomogeneities. We quantify the net effect of scattering at the random boundaries and show how it differs from that of scattering by internal inhomogeneities.
waveguides, random media, asymptotic analysis
2010 Mathematics Subject Classification
35Qxx, 60F05, 76B15