The simulation of antennas often necessitates modeling the effect of nearby electrically large structures. Such structures are often unsuitable for modeling with the same technique as used on the antenna because of the prohibitive required unknown count. First-principles models of antennas (or other key features) must then be augmented with approximate models of the larger auxiliary structures, usually with highfrequency asymptotic models. The surface equivalence principle is applied to linear-media multiple scattering without regard to the formulations used for each contained domain. A Schur complement is then applied to convert the homogeneous medium equivalent problem into a inhomogeneous medium equivalent problem. The Schur complement form supports application of approximate models and makes the scattering physics plain. The results are provided for two cases modeled with the equivalence principle algorithm (EPA) hybridized with physical optics (PO) approximation. Index Terms-Antennas, method of moments (MoM), scattering. I. INTRODUCTION S ELDOM is a single method suitable to computing the radiated fields for a complete system. First-principles methods become unusable at increasing frequencies due to the curse of dimensionality: surface-based methods require unknown counts quadratic with the number of wavelengths on the characteristic size. High-frequency asymptotic methods offer approximate solutions to the salient equations with options to sidestep these overwhelming sample counts. This article demonstrates a mathematically succinct and physically clear picture of hybridizing such methods as applied to antenna siting problems. Existing hybrid methods combining method of moments (MoM) and high-frequency asymptotic methods are not
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