Gaussian beams in elastic 2-D laterally varying layered structures |
| |
| Authors: | V &#;ervený I P&#;en&#;ik |
| |
| Institution: | Institute of Geophysics, Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, 121 16 Praha 2, Czechoslovakia;Geophysical Institute, Czechoslovakian Academy of Sciences, Bocnl II, 141 31 Praha 4, Czechoslovakia |
| |
| Abstract: | Summary. In a paper by ?ervený & P?en?ik, high-frequency Gaussian beams in elastic 2-D, laterally inhomogeneous, smooth media were investigated as asymptotic high-frequency solutions of elastodynamic equations, concentrated close to rays of P - and S -waves. This paper generalizes the above results for 2-D, laterally inhomogeneous, layered structures. Gaussian beams concentrated close to any multiply-reflected, possibly converted, ray are investigated. Gaussian beams are regular everywhere, including caustic regions. The paraxial ray approximation, which allows the wavefield in the zero-order ray approximation to be evaluated not only directly on the ray, but also in its vicinity, is derived as a limiting case of the Gaussian beams. |
| |
| Keywords: | |
|
|
