A domain decomposition approach to the radiation from sources localized within complex structures

The domain decomposition strategy known as linear embedding via Green´s operators (LEGO) is applied to the solution of 3-D radiation problems in which the sources are localized inside complex structures. Accordingly, the structure is formally “diced” into small sub-domains (bricks) whose electromagnetic behavior is accounted for by scattering operators. Unlike the conventional LEGO, though, some bricks may contain a source, and hence play the role of “generators” in the equivalent model. In this communication we introduce the functional equation that describes a generator brick. We then show how the set of integral equations of LEGO are modified. Finally, we provide numerical results which demonstrate the validity of this approach.