One World Wave - M N Entekhabi
From OLLIE Quinn on July 8th, 2020
15:00: M N Entekhabi: Inverse Source Scattering Problems with Multi- Frequencies
The inverse scattering problem is the problem of determining characteristics of an object, based on data of how it scatters incoming radiation or particles. More specifically, inverse source scattering problem arises in many areas of science. It has numerous applications to medical imaging and geophysics, acoustical and bio-medical industries, antenna synthesis, and mechanical and material science. In particular, inverse source problem seeks the radiating source which produces the measured wave field. This research aims to provide a technique for recovering the source function of the Helmholtz equation and some classical system of PDEs from boundary data at multiple wave numbers when the source is compactly supported in an arbitrary bounded C_2− boundary domain, establish uniqueness for the source from the Cauchy data on any open non empty part of the boundary for arbitrary positive K, and increasing stability when wave number K is getting large for a 2 and 3 dimensional general domain. Various studies showed that the uniqueness can be regained by taking multifrequency boundary measurement in a non-empty frequency interval (0, K).