Simultaneous Reconstruction for the Telegraph Equation in a Stratified Half-Space Using 3-D Reflectivity

Sailing HE  Rasmus HELLBERG  Vaughan H. WESTON  

Publication
IEICE TRANSACTIONS on Communications   Vol.E76-B   No.12   pp.1538-1545
Publication Date: 1993/12/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8516
Type of Manuscript: Special Section PAPER (Special Issue on 1992 Internatioal Symposium on Antennas and Propagation)
Category: 
Keyword: 
inverse problem,  telegraph equation,  wave splitting,  moments,  

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Summary: 
The invariant imbedding method combined with the time domain wave splitting technique is applied to the inverse problem for the telegraph equation t2u=(1/r)(pu)-btu+qu in a stratified half-space. The zeroth, second and fourth moments of the 3-D fields are used to reduce the three-dimensional problem to a set of one-dimensional problems. The imbedding equations for R0, R2 and R4, respectively the zeroth, second and fourth moments of the reflection operator, are derived. Numerical results for the reconstruction are presented using the reflection data on the surface.