A Calderon Multiplicative Preconditioner for the PMCHWT Equation for Scattering by Chiral Objects

Scattering of time-harmonic electromagnetic waves by chiral structures can be modeled via an extension of the Poggio-Miller-Chan-Harrington-Wu-Tsai (PMCHWT) boundary integral equation for analyzing scattering by dielectric objects. The classical PMCHWT equation however suffers from dense discretization breakdown: the matrices resulting from its discretization become increasingly ill-conditioned when the mesh density increases. This contribution revisits the PMCHWT equation for chiral media. It is demonstrated that it also suffers from dense discretization breakdown. This dense discretization breakdown is mitigated by the construction of a Calderón multiplicative preconditioner. A stable discretization scheme is introduced, and the resulting algorithm's accuracy and efficiency are corroborated by numerical examples.