Nonlinear Integral Equations in Inverse Obstacle Scattering

Wednesday, December 31, 1969 - 6:00pm
EE/CS 3-180
Olha Ivanyshyn (Georg-August-Universität zu Göttingen)
We present a novel solution method for
inverse obstacle scattering problems for time-harmonic waves
based on a pair of nonlinear and
ill-posed integral equations for the unknown boundary
that arises from the reciprocity gap principle.
This integral equations can
be solved by linearization, i.e., by
regularized Newton iterations. We present
a mathematical foundation of the method and illustrate
its feasibility by numerical examples.