Wednesday, January 16, 2013 - 3:15pm - 4:05pm
Liliana Borcea (Rice University)
We analyze long range wave propagation in three-dimensional random
waveguides. The waves are trapped by top and bottom boundaries, but
the medium is unbounded in the two remaining directions. We consider
scalar waves, and motivated by applications in underwater acoustics,
we take a pressure release boundary condition at the top surface and
a rigid bottom boundary. The wave speed in the waveguide is known
and smooth, but the top boundary has small random fluctuations that
cause significant cumulative scattering of the waves over long
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