𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Riccati equations for wave propagation in planarly-stratified solids

✍ Scribed by Giacomo Caviglia; Angelo Morro

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
181 KB
Volume
19
Category
Article
ISSN
0997-7538

No coin nor oath required. For personal study only.

✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Inverse Scattering Theory for Wave Equat
Inverse Scattering Theory for Wave Equations in Stratified Media
✍ Hiroshi Isozaki πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 447 KB

dedicated to professor kyu ya masuda on the occasion of his 60th birthday The inverse scattering problem for the wave equation 2 t u=c(x, y) 2 2 x, y u is considered in R n x \_R 1 y , n 2. The sound speed of the background medium, c 0 ( y), takes different constant values on [ y>0] and [ y<0]. Th