A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems
SIAM Journal on Scientific Computing
A finite element/spectral method for approximating the time-harmonic Maxwell system in R3
SIAM Journal on Applied Mathematics
SIAM Journal on Applied Mathematics
Low-frequency electromagnetic scattering
SIAM Journal on Mathematical Analysis
The mathematics of computerized tomography
The mathematics of computerized tomography
Numerical Solution of Inverse Scattering Problems with Multi-experimental Limited Aperture Data
SIAM Journal on Scientific Computing
Marching schemes for inverse acoustic scattering problems
Numerische Mathematik
Journal of Computational Physics
Hi-index | 31.45 |
Consider a time-harmonic electromagnetic plane wave incident on a medium enclosed by a bounded domain in R^3. In this paper, well-posedness of the variational problem for the direct scattering is examined. An energy estimate for the scattered field is obtained on which the Born approximation is based. A regularized recursive linearization method for the inverse medium scattering, which reconstructs the scatterer of an inhomogeneous medium from the boundary measurements of the scattered field, is developed. The algorithm requires only single-frequency data. Using an initial guess from the Born approximation, each update is obtained via continuation on the spatial frequency of a two-parameter family of plane waves by solving one direct problem and one adjoint problem of the Maxwell equation.