Direct Computation of the PEC Body of Revolution Modal Green Function for the Electric Field Integral Equation

Abstract

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“…The photon azimuth is φ aci in rad and is described by a uniform distribution of random numbers in the range [0, 2π]. The iterative analytical model of the occurrence of continuous Mie scattering is as follows (a photon exiting the pupil into the null channel when the first Mie reflection occurs, n = 0) [13]:…”

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“…As for the mirror topological optimization at the earlier stage, a simplified FE model can be implemented. Under most situations at which the mirror has high symmetric profiles [ 31 ], we can conduct the optimization in a simplified manner.…”

Multi-Mode Analysis of Scattering by Bodies of Revolutions via the Combined-Field Integral Equation

“…T HE scattering problem concerning perfectly electric conducting (PEC) objects with axially symmetric geometries has long been of considerable interest in the area of computational electromagnetics [1], [2], [3], [4], [5], [6], [7]. The scattering by such kinds of symmetric objects, also called bodies of revolution (BORs), are often characterized using integral equations, which are derived based on the boundary conditions applied to the electromagnetic fields at the surface of the BOR.…”

“…Recently, we proposed an efficient approach for computing the full EFIE MGF including its singular part, in which the MGF is computed based on a five-term recurrence relation in a direct manner without separating the MGF into singular and regular parts [27]. The computation via the five-term recurrence relation was accomplished in a stable manner by performing the LU decomposition of the associated penta-diagonal matrix.…”

“…For the modest cases, we compare the results with those available in the literature. Not only does this article offer a direct solution for the computation of the modal Green functions (distinct from the singularity extraction methods [7], [19], [26]), but also it extends the EFIE recurrence relation in [27] to the MFIE case with an enhanced computational speed.…”