On The Spectral Behavior And Normalization Of A Resonance-Free And High-Frequency Stable Integral Equation
2018 IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION & USNC/URSI NATIONAL RADIO SCIENCE MEETING(2018)
Abstract
The combined field integral equation (CFIE) used for solving scattering and radiation problems, although a resonance-free formulation, suffers from an ill-conditioning that strongly depends on the frequency and discretization density, both in the low- and high-frequency regime, resulting in slow convergence rates for iterative solvers. This work presents a new preconditioning scheme for the CFIE that cures the low and the high-frequency as well as the dense discretization breakdown. The new preconditioner for the CFIE is based on a spherical harmonics analysis and the proper regularization with Helmholtz-type operators. Numerical results have been obtained to prove the effectiveness of this new formulation in real scenarios.
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Key words
CFIE,spectral behavior,high-frequency stable integral equation,combined field integral equation,radiation problems,resonance-free formulation,discretization density,iterative solvers,dense discretization breakdown,Helmholtz-type operators,spherical harmonics analysis
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