A well-conditioned volume-surface combined field integral equation (VSCFIE) for inhomogeneous scatterers with negative permittivities

Plasmas have numerous applications ranging from microelectronic device manufacturing to the development of military stealth systems. To facilitate the design of new technologies that leverage plasmas, novel fast electromagnetic simulators are called for. Indeed, plasmas often are highly inhomogeneous and contain regions of negative permittivity. Unfortunately, the application of standard differential and volume integral equation (VIE) techniques to the analysis of fields inside such media yields ill-conditioned systems of equations that converge slowly. Here we propose a novel volume-surface combined field integral equation (VSCFIE) that alleviates this problem.