Frequency Domain Surface Integral Equations of Picard´s Extended Maxwell System

Electromagnetic frequency domain surface integral equations are derived for Picard´s extended Maxwell system, a first order partial differential equation system combining linear acoustics and Maxwell´s equations into a unified system with correct static behavior. The surface integral equations of the Picard system do not suffer from the low frequency problems of the traditional equations. Three basic types of the equations, similar to the traditional EFIE, MFIE and CFIE formulations, are derived and applied. The numerical behaviors of the equations are studied by comparing the condition numbers, convergences of the iterative solutions, and convergences of the accuracies.