Efficient computation of electromagnetic wave scattering for inhomogeneous bodies using a model order reduction approach

This study presents a model order reduction algorithm for the volume integral equation formulation of electromagnetic wave scattering. The authors apply the Arnoldi algorithm to circumvent the computational complexity associated with the repeated solution of the forward electromagnetic scattering problem for varying material parameters. The authors discuss practical implementation issues regarding procedures for the implementation and termination of the Arnoldi iteration. An approximate extension of the Arnoldi algorithm to the problem of wave scattering from an inhomogeneous body is introduced and implemented. This approximation is shown to be exact in the limit as the level of reduction approaches zero. Numerical examples are presented which demonstrate the accuracy and efficiency of their approximate extension.