Monte Carlo simulation of 1-D rough surface scattering in 2-D space

Abstract

With the recent development of fast algorithms, the difference in capability between high-frequency asymptotic techniques and numerical techniques becomes smaller. Therefore, the advantage of high-frequency asymptotic techniques is in the much higher frequency range where fast algorithms still cannot compete due to the lack of current computational resources. However, the drive toward higher frequencies gives rise to another difficulty in solving the high frequency scattering problem. In this paper, we will clarify the difficulties to apply conventional techniques to electromagnetic scattering problems under this condition, develop a strategy to solve them in terms of high-frequency approximations, and perform Monte Carlo simulations.