Space decomposition method by using complex source expansion

Abstract

In this paper, a different strategy is proposed for an efficient and accurate electromagnetic modelling of complex environments. The overall complex problem is decomposed into simpler, more tractable, interacting subdomain problems and the interactions are described through a network formalism using complex source point (CSP) beams [1] as propagators. More specifically, each source is characterized through a proper CSP beam expansion and each obstacle is described by a scattering matrix, where the incoming and outcoming wave objects are CSP beams emerging form a surface enclosing the obstacle. All the interactions among the source and the obstacles and among different obstacles can then be taken into account by properly combining the scattering matrices associated with the obstacles with the vector of the excitation coefficients that arises by the projection of the source field onto the CSP bases. Due to the spatial selectivity of the CSP beams, the interactions only involve a limited number of CSP beams.