"Bottom crystal" and possibility of water wave attenuation

• Autorzy: Popov I. Yu
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

periodic bottom structure; water wave; edge wave; trapped mode; Helmholtz equation; zero-range potential method

PL

zależność Helmholtz'a

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2003
• Tom: Vol. 55, nr 2
• Strony: 221--232
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Popov I. Yu

• Department of Higher Mathematics, Leningrad Institute of Fine Mechanics and Optics, Sablinskaya 14, St.-Petersburg, 197101, Russia

Bibliografia

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