Riccati equations for wave propagation in planarly-stratified solids |
| |
| Affiliation: | 1. George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta GA 30332, USA;2. School of Computational Science and Engineering, Georgia Institute of Technology, Atlanta GA 30332, USA;1. Nanotechnology Center, St. Petersburg National Research Academic University RAS, Khlopin st. 8/3, St. Petersburg, 194021, Russia;2. National Research University of Information Technologies, Mechanics and Optics, Kronverksky pr. 49, St. Petersburg, 197101, Russia;1. Deutsches Zentrum für Luft- und Raumfahrt (DLR), Institut für Methodik der Fernerkundung (IMF), Oberpfaffenhofen 82234, Germany;2. NASA Goddard Institute for Space Studies, 2880 Broadway, New York, NY 10025, USA |
| |
| Abstract: | Wave propagation and scattering are investigated in three-dimensional, dissipative, anisotropic bodies with one-dimensional inhomogeneity. The constitutive equations are taken to be linear. The incidence is allowed to be oblique. Three different procedures are set up which involve the impedance matrix and two local reflection matrices. All three matrix functions are shown to satisfy appropriate Riccati equations and jump conditions (at discontinuities). The operative aspects are examined to solve reflection–transmission problems for a layer sandwiched between two half spaces. The unknown field within the layer is determined through the impedance or the reflection matrices. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
