Special Session 5: Scientific Computation and Numerical Algorithms

Inverse medium scattering with a single incoming wave

Guanghui Hu
Beijing Computational Science Research Center
Peoples Rep of China
Co-Author(s):    
Abstract:
Assume an electromagnetic plane wave is incident onto an infinitely long cylinder with constant refractive index. In the TE and TM polarization cases, we prove that a single far-field pattern uniquely determines the cross section of the cylinder. In particular, this implies the absence of non-scattering wave numbers for the two-dimensional Maxwell equation in a right corner domain.