Electromagnetic Scattering from Multiple Scale Geometries

This final technical report describes the development, implementation, numerical validation and potential exploitation of an accurate and efficient scattering solvers to compute the horizontal (TE mode) and vertical (TM mode) polarization returns from multi-scale surfaces. This modeling effort was motivated by a large number of remote sensing applications that require the characterization by means of radar scattering measurements of the scattering surface configuration or variations in the surface patterns for detection or environmental purposes. The nature of the relevant scattering surfaces and the measured scattered fields drives the need for an extremely accurate scattering solver able to deal with multi-scale surfaces in an efficient manner. This objective was achieved by using a combination of perturbation and asymptotic expansions and an innovative and careful implementation of these expansions for full double precision accuracy. The Fourier series representations used in this problem allowed for very efficient computations due the relatively small order of these series in typical cases. HH and VV polarization have been implemented and allow the rigorous investigation of critical remote sensing problems.