Dirichlet-Neumann conditions and the orthogonality of three-dimensional guided waves in layered solids |
| |
Authors: | D D Zakharov |
| |
Institution: | 1.Moscow State Transport University (MIIT),Moscow,Russia |
| |
Abstract: | 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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|