Evaluation of High-Frequency Electromagnetic Scattering via High-Order Multiple-Scattering Integral Asymptotics

摘要

Report developed under STTR contract for topic AFOlTOO9. We introduced a new algorithm for the numerical solution of problems of electromagnetic or acoustic scattering in the high-frequency regime. This algorithm combines the use of an ansatz for the unknown density in a boundary integral formulation of the scattering problem with an extension of the ideas of the method of stationary phase. In particular, we obtained numerical results illustrating the high order convergence of our algorithm as well as its asymptotically bounded computational cost as the frequency increases.