A Calderón preconditioned PMCHWT equation

Electromagnetic scattering by dielectric bodies can be described by two integral equations: the PMCHWT equation and the Muller equation. The spectral properties of the former resemble those of the EFIE, while the spectral properties of the latter resemble those of the MFIE. Indeed, the PMCHWT equation is susceptible to the low frequency and dense grid breakdowns. Recently, a solution for the dense grid breakdown of the EFIE has been proposed: Calderoacuten preconditioning. In this contribution, the Calderoacuten preconditioning scheme is extended to the PMCHWT equation. the well-posedness of this new formulation is proven and numerical results testifying to the scheme´s validity are presented.