Developments in Macro Basis Function Methods for Electromagnetic Analysis
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The method of moments (MoM) is widely used for electromagnetic scattering and radiation analysis. For electrically large, multiscale structures, the degrees of freedom (DoFs) and consequently computational costs, become very high. Macro basis function (MBF) methods form fixed linear combinations of low-level basis functions, such that a reduced set of MBF DoFs are solved, to lower computational costs. This contribution is focussed on recent developments of MBF based methods for two application domains, namely large-scale antenna arrays and complex wire structures. This work is applicable to, e.g., the design of radio astronomy antenna arrays and the assessment of electromagnetic interference (EMI). For array analysis, MBFs are either statically or dynamically created, and incorporated into various iterative schemes, also employing low-rank matrix compression. For analysis of wires, MBFs are created a priori, based on general assumptions of current flow, enabling efficient analysis of electrically thick wires. This is significant, as MoM wire formulations generally focus on electrically thin wires.
