A calderón-preconditioned single source combined field integral equation for analyzing scattering from homogeneous penetrable objects
KAUST DepartmentPhysical Sciences and Engineering (PSE) Division
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Computational Electromagnetics Laboratory
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AbstractA new regularized single source equation for analyzing scattering from homogeneous penetrable objects is presented. The proposed equation is a linear combination of a Calderón-preconditioned single source electric field integral equation and a single source magnetic field integral equation. The equation is immune to low-frequency and dense-mesh breakdown, and free from spurious resonances. Unlike dual source formulations, this equation involves operator products that cannot be discretized using standard procedures for discretizing standalone electric, magnetic, and combined field operators. Instead, the single source equation proposed here is discretized using a recently developed technique that achieves a well-conditioned mapping from div- to curl-conforming function spaces, thereby fully respecting the space mapping properties of the operators involved, and guaranteeing accuracy and stability. Numerical results show that the proposed equation and discretization technique give rise to rapidly convergent solutions. They also validate the equation's resonant free character. © 2006 IEEE.
SponsorsManuscript received March 26, 2010; revised September 14, 2010; accepted November 08, 2010. Date of publication May 02, 2011; date of current version June 02, 2011. This work was supported by the National Science Foundation Grant DMS 0713771, by the AFOSR STTR Contract F026043-00, by a Grant from Sandia National Laboratory, by the KAUST Grant 399813, and by the AFOSR/NSSEFF Program Award FA9550-10-1-0180.