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Picard’s extended Maxwell system and frequency stable surface integral equations

Electromagnetic frequency domain surface integral equations are derived for Picard's extended Maxwell system, a partial differential equation system combining Maxwell's and linear acoustics equations. The surface integral representations of the Picard system and the traditional surface integral equations are derived for the normalized electric and magnetic fields. Three basic types of the equations, similar to the traditional EFIE, MFIE, and CFIE formulations, are derived and applied. The numerical stability of the equations is compared with simple PEC and dielectric cases in a wide frequency range.