Iteration, multiple scattering and the sphere of influence technique

An iterative scheme, the sphere of influence (SOI) technique, specifically designed around the electromagnetic (EM) scattering problem is described. This method presents an alternative to other classical iterative methods as well as to newer schemes e.g., small domains coupled by Schelkunoff-type sources. The SOI technique is based on an iterative interpretation of multiple scattering first described by Tai (1970). As a simple example, SOI was used to compute backscatter from a small spherical cloud (random array) of 100 randomly oriented resonant wires.<>