### ASA 126th Meeting Denver 1993 October 4-8

## 2pAO2. Renormalization of propagation in layered media with rough
interfaces.

**David H. Berman
**

**
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*Dept. of Phys. and Astron., Univ. of Iowa, Iowa City, IA 52242
*

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There are now a number of good approximations for plane-wave scattering
from rough interfaces separating two half-spaces. This work will describe how
these approximations can be used when there are two or more rough interfaces.
The technique to be developed is based on matching approximate scattering
states, expressed in terms of half-space scattering amplitudes, across source
planes. Boundary conditions at interfaces are satisfied by the scattering
states. It will be shown how the resulting description can be renormalized so
that the mean field is described in terms of effective reflection coefficients
at the interfaces, which are distinct from coherent half-space scattering
amplitudes. It will also be shown that the method of smoothing gives a
first-order approximation to a fully renormalized mean field. Expressions for
effective modal attentuations will also be derived.