Time Domain Adaptive Integral Method for Surface Integral Equations

To ensure the interoperability of modern broadband and integrated navigation and communication systems, engineers need simulation tools capable of tracking electromagnetic transients on electrically large and complex, multiscale and potentially nonlinearly loaded structures. In this context, marching-onin-time based time-domain integral-equation (MOT-TDIE) solvers provide an increasingly appealing alternative to finite difference/element based simulation engines [1, 2]. Indeed, compared to the latter, MOT-TDIE solvers automatically impose radiation conditions, do not require fields to be discretized throughout homogeneous volumes, and are highly immune to numerical dispersion [3, 4]. Moreover, recent algorithmic advances have rendered these solvers (a) well-conditioned and stable, (b) computationally efficient, and (c) applicable to the analysis transients on geometrically complex structures. (d) Finally, MOT-TDIE solvers have been hybridized with various subsystem simulators, thereby vastly expanding their application range.