Electromagnetic Scattering From Rough Surface Using Single Integral Equation and Adaptive Integral Method

An efficient algorithm for electromagnetic wave scattering from rough dielectric surfaces is developed. The algorithm is based on the single magnetic field integral equation (SMFIE) and the surface is discretized using Rao–Wilton–Glisson (RWG) triangular basis functions. The new feature of the algorithm is the application of the adaptive integral method (AIM) with SMFIE for speeding up the calculation. The developed new method utilizes the flexibility of RWG functions to model arbitrary rough surface and the speed of FFT, enabling accurate simulations over large surfaces.

I. Introduction

The simulation of electromagnetic scattering from dielectric rough surfaces is very tempting for applications in remote sensing of ocean, soil and ice.The calculation of full vector-wave scattering from a large surface is very demanding task.The difficulties in the problem lie on the large surface size and on the magnitude of the surface roughness.Solving a problem of this kind requires a lot of unknowns in order to get accurate and meaningful results.Thus, reduction on both computation time and data storage requirement is continuously sought.The surface integral equations are widely used to solve problems of electromagnetic scattering and their formulation is one way to make the simulation more efficient.