Vol 55, No 2 (2003)

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"Bottom crystal" and possibility of water wave attenuation

I.Yu. Popov

Arch. Mech. 55 (2), 221-232, 2003

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Abstract


The influence of periodic bottom structure ("bottom crystal") on surface water waves is considered. The problem reduces to a two-dimensional Helmholtz operator with periodic potential. Zero-range potential method based on the theory of self-adjoint extensions of symmetric operators is used. It is shown that there is a gap in the spectrum. An application of this spectral property to the problem of wave attenuation is discussed.

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