Inverse source problems for Maxwell’s equations and the windowed Fourier transform
Dr. Rohit Kumar Mishra
University of California, Santa Cruz
| Speaker |
Dr. Rohit Kumar Mishra
University of California, Santa Cruz
|
|---|---|
| When |
Jul 17, 2018
from 11:00 AM to 12:00 PM |
| Where | LH006 |
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Abstract: In this talk, we are going to talk about the inverse source problem for time-harmonic Maxwell’s equations in three-dimensional free space. More precisely the inverse problem, we discuss here is the reconstruction of the source term present in Maxwell’s equations from the given far field data. The method is based on the fact that a windowed Fourier transform of the far field data approximates an exponential transverse ray transform of the unknown source. Applying a filtered backprojection for the transverse ray transform to the windowed Fourier transform of the far field data we recover information on the support of the unknown source.