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Steklov Institute of Mathematics at St.Petersburg

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PREPRINT 09/2007

A. P. Kiselev, E. Ducasse, M. Deschamps, A.Darinskii ##
NEW EXACT SOLUTIONS DESCRIBING

PROPAGATION OF ACOUSTIC SURFACE WAVES IN ARBITRARY LAYERED STRUCTURES

This preprint was accepted July 6, 2007

ABSTRACT:
New exact solutions, describing acoustic surface waves propagation on
an arbitrarily layered structures are constructed via a straightforward
separation of variables. Attention is paid to solutions of
a moderate growth in lateral variables, $x$ and $y$, of which two
particular cases are considered in detail. First, these are
solutions with a plane wavefront $x=const$, but with polynomial
dependencies of amplitudes on $x$ and $y$. Second, these are
solutions describing beams of surface waves exhibiting a high
degree of localisation inside a given sector. Dependencies of
such a wave fields on parameters are demonstrated by a
numerical simulation. Also, solutions which are inhomogeneous
plane waves with respect to lateral variables and their
polynomial-amplitude generalisatios are considered.

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