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Dirichlet-Neumann conditions and the orthogonality of three-dimensional guided waves in layered solidsстатья
- Автор: Zakharov D.D.
- Журнал: Computational Mathematics and Mathematical Physics
- Том: 50
- Номер: 9
- Год издания: 2010
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 1522
- Последняя страница: 1535
- DOI: 10.1134/s0965542510090058
- Аннотация: Orthogonality relations for homogeneous waves in layered plates are obtained, and they are generalized to the case of a contact with fluid layers. For layers of infinite thickness, it is shown that the homogeneous waves of the discrete spectrum are orthogonal to each other and to the waves of the continuous spectrum. For finite-size sources, exact formulas are derived for the coefficients multiplying the modes. Based on the orthogonality relations, a nonlocal radiation principle is proposed such that the infinite domain in the numerical solution of diffraction problems for layered plates can be replaced by a virtual cylinder.
- Добавил в систему: Захаров Дмитрий Дмитриеич