Spatial decomposition for the method of moments (EM field problems)

Abstract

The authors have developed a spatial decomposition (SD) approach for the method of moments (MM) that shows substantial promise in reducing both the dimensionality and ill-conditioning of the computational burden. In fact, SD permits the maximum size of the MM system matrix that needs to be inverted to be strictly limited, regardless of the electrical size of the target being modeled. SD provides the means of implementing the combined-field surface-patching MM technique with a computer memory and execution time requirement of order M, where M is the number of spatial subzones. SD has been successfully applied to electrically large two-dimensional dielectric targets and three-dimensional conducting bodies of revolution.<>