F. Obelleiro et al., Localized iterative generalized multipole technique for large two-dimensional scattering problems, IEEE ANTENN, 49(6), 2001, pp. 961-970
In this work, we propose a novel and efficient solution for the generalized
multipole technique (GMT): the localized iterative generalized multipole t
echnique (LIGMT). In LIGMT, an analytic constraint is imposed on the power
radiated by the set of multipole sources sharing the same origin, rendering
it minimum over a given angular sector. In this way, the power radiated by
each set of multipoles is confined to a different section of the scatterer
surface. It follows that each set of multipole coefficients can be solved
step by step via an iterative process, which circumvents the need to solve
the large and full matrix equation. This implies a significant reduction of
the computational and storage cost, enhancing the scope of application of
the GMT method to larger problems.