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We present a computationally efficient way to compute the modal Green's function arising in the electric-field integral equation for a body of revolution. The computation of this function is time consuming due to its singular and oscillating nature, especially for high Fourier-mode indices. Efficient and accurate computation of this function is important to arrive at a fast numerical method for analyzing the scattering problem of a body of revolution. We compute the modal Green's function up to machine precision in a well-controlled way with limited effort, even for large bodies.
The generalization of a two-dimensional spatial spectral volume integral equation to a three-dimensional spatial spectral integral equation formulation for electromagnetic scattering from dielectric objects in a stratified dielectric medium is explained. In the spectral domain, the Green function, contrast current density, and scattered electric field are represented on a complex integration manifold that evades the poles and branch cuts that are present in the Green function. In the spatial domain, the field-material interactions are reformulated by a normal-vector field approach, which obeys the Li factorization rules. Numerical evidence is shown that the computation time of this method scales as
on the number of unknowns. The accuracy of the method for three numerical examples is compared to a finite element method reference.
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