Characteristic Basis Function Method Combined with Krylov-Calderón Preconditioner for PMCHWT Formulation

• Published in: IEEE transactions on antennas and propagation Vol. 72; no. 3; p. 1
• Main Authors: Tanaka, Tai, Niino, Kazuki, Nishimura, Naoshi
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.03.2024; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Basis functions; Calderón Preconditioner; Characteristic Basis Function Method (CBFM); Convergence; Dielectrics; Impedance; Integral equations; Iterative methods; Matrix decomposition; Method of moments; Method of Moments (MoM); Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) formulation; Scattering; Singular value decomposition; Subspace methods
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2024.3362379

We propose a novel characteristic basis function method for analyzing the scattering by dielectric objects based on the Poggio-Miller-Chang-Harrington-Wu-Tsai formulation. In the proposed method, the bases for electric and magnetic currents are orthogonalized with the help of the singular value decomposition, and are used as dual basis functions in a way similar to the RWG and BC basis functions. We show that the use of the Calderón precondtioner based on the Krylov subspace method together with the proposed method can prevent from the poor convergence of the solution of the matrix equation in problems involving dielectrics. We considered different shapes of dielectric scatterers for the purpose of validation. The numerical results agreed well with those obtained by the conventional method of moments and the proposed method was faster than the conventional method. These results indicate that the proposed method is effective for scattering analysis of the dielectrics.