Wave front layer stripping approach to inverse scattering for the wave equation
2002 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 43, no 10, 5045-5059 p.Article in journal (Refereed) Published
The inverse problem involving a point pulse source exterior to a scattering medium, where the velocity c(x) is continuous, is considered. The layer stripping approach is applied to thin curvilinear layers whose surfaces are the primary wave fronts [with c(x) continuous, the reflected wave fronts will be secondary, i.e., of lower order singularity]. It is shown that the layer stripping approach can be used in the time-domain inverse problem without employing the added complexity of having to perform wave splitting. Furthermore the procedure to determine the normal derivative of c from the asymptotic short time behavior of the field quantities on an adjacent wave front surface has been simplified compared to earlier wave splitting methods. Uniqueness results are given.
Place, publisher, year, edition, pages
2002. Vol. 43, no 10, 5045-5059 p.
generalized bremmer series, approximation, media
IdentifiersURN: urn:nbn:se:kth:diva-21909DOI: 10.1063/1.1504502ISI: 000178095500036OAI: oai:DiVA.org:kth-21909DiVA: diva2:340607
QC 201005252010-08-102010-08-10Bibliographically approved