Diagonalization of the vector addition theorem

The development of fast algorithms for integral equation solvers opens up new realms for the applications of integral equation solvers [V. Rokhlin, 1990; C.C. Lu and W.C. Chew, 1994; J.M. Song and W.C. Chew, 1995; W.C. Chew et al., 2001]. One of these is their use in the arena of circuits, micro-circuits and nanotechnologies. Often time, the use of fast solvers in this arena calls for the combined use of fast algorithms where both wave physics and circuit physics are captured well by the solvers [L.J. Jiang and W.C. Chew, 2005].