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The effectiveness of the proposed CMP-based regularization is demonstrated via the characterization of a hemispherical dielectric resonator antenna with an air gap. The resonator is excited by a feed probe. The need for fine discretization around the feed is justified by the need for properly modeling the curvature of the feed probe and the distribution of fields around it. The article demonstrates...
Combined field integral equation (CFIE) solvers are widely used for analyzing electromagnetic interactions with perfect electrically conducting (PEC) closed surfaces because, unlike electric field equation (EFIE) solvers, they do not suffer from internal resonance problems. However, they are unbounded as their EFIE components contain a hypersingular term. This renders the matrix systems resulting...
Here, an extension of the CMP (Calderon multiplicative preconditioner) concept to the Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) integral equation is presented. This is done by writing the PMCHWT in a suitable matrix operator form and using that same matrix operator as a preconditioner. This results in an integral operator of the second kind, i.e. a compact perturbation of the identity operator...
A Calderon multiplicative preconditioner (CMP) for the combined field integral equation (CFIE) is developed. Just like with previously proposed Calderon-preconditioned CFIEs, a localization procedure is employed to ensure that the equation is resonance-free. The iterative solution of the linear system of equations obtained via the CMP-based discretization of the CFIE converges rapidly regardless of...
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