The Semi-Analytic Mode Matching algorithm for GPR wave scattering from multiple complex objects buried in a dielectric half space

Abstract

The Semi-Analytic Mode Matching (SAMM) algorithm is a quick and efficient computational method that can model wave scattering from multiple objects in half spaces. This algorithm relies heavily on the appropriate choice of coordinate scattering centers (CSCs) for its modal expansions. Here, the radius of curvature method of finding CSCs is extended to "tune" the CSC loci. Because the CSC locations are essentially frequency independent and independent of the dielectric contrast between scatterer and background, it is worthwhile to analyze carefully particular scattering object shapes and store the optimal CSC locations for future use. Scattering from multiple targets buried within half spaces can be constructed from simpler simulations of the individual targets taken independently in uniform media -combining these initial simulations correctly can greatly reduce overall computational time and increase robustness in full simulations. Excellent results are found comparing SAMM and Finite Difference Frequency Domain (FDFD) for multiple 2D scattering objects 0.1 -15 wavelengths in size located beneath half spaces.