Fast multiple-reflection physical optics (FMRPO) through comprehensive MLFMM acceleration

摘要

The mesh-based, single-reflection physical optics (SRPO) method uses the PO approximation to calculate the induced current on a conducting scatterer. Standard basis functions are used on a triangle-element mesh. The multiple-reflection PO (MRPO) method takes the SRPO solution's field as a secondary incident field, yielding a solution for two reflections and so forth. This paper presents a comprehensively accelerated version of MRPO, denoted fast MRPO (FMRPO). The multi-level, fast multipole method (MLFMM) forms the basis of the acceleration, with alteration of the interaction tree to rigorously account for internal shadowing. Vastly improved time-scaling is demonstrated. MRPO-based analysis of extremely large scattering problems is now possible.