Higher-Order Fourier Approximation in Scattering by Two-Dimensional, Inhomogeneous Media

Higher-Order Fourier Approximation in Scattering by Two-Dimensional, Inhomogeneous Media

This paper provides a theoretical analysis of a higher-order, FFT-based integral equation method introduced recently [IEEE Trans. Antennas and Propagation, 48 (2000), pp. 1862–1864] for the evaluation of transverse electric–polarized electromagnetic scattering from a bounded, penetrable inhomogeneity in two-dimensional space. Roughly speaking, this method is based on Fourier smoothing of the in...

Fast, High-Order Methods for Scattering by Inhomogeneous Media

In this thesis, we introduce a new, fast, high-order method for scattering by inhomogeneous media in three dimensions. As in previously existing methods, the low (O(N logN)) complexity of our integral equation method is obtained through extensive use of the fast Fourier transform (FFT) in evaluating the required convolutions. Unlike previous FFT-based methods, however, this method yields high-o...

Fast Approximation of Multiple Scattering in Inhomogeneous Participating Media

This paper presents a fast approximation for the solution of the radiative transfer equation in inhomogeneous participating media. This scheme traces rays from the point light creating spherical wavefronts. While we march on a particular ray, we assume that other rays find similar material properties, which allows the solution of the diffusion equation for this ray. The proposed approximation o...

Higher order Fourier analysis

Sea Surfaces Scattering by Multi-Order Small-Slope Approximation: a Monte-Carlo and Analytical Comparison

L-band electromagnetic scattering from two-dimensional random rough sea surfaces are calculated by first- and second-order Small-Slope Approximation (SSA1, 2) methods. Both analytical and numerical computations are utilized to calculate incoherent normalized radar cross-section (NRCS) in mono- and bi-static cases. For evaluating inverse Fourier transform, inverse fast Fourier transform (IFFT) i...