Many Balls Of Electromagnetic Wave Scattering

This thesis is committed to the calculation of the scattering of electromagnetic waves of a cluster of dielectric spheres. The electric dyadic Green's functions of a cluster of spheres are expanded by spherical vector functions, and the coefficients are due to the boundary conditions which result in a set of linear equations. As samples, the expanding coefficients are calculated for cases of one, two, and three spheres, and we obtained their dyadic Green's functions, furthermore, their electric field distribution. In principle, our method leads to the exact solution for arbitrary cluster of dielectric spheres, since no approximation is adopted during the derivation. However, we can not sum over all eigenfunctions, so we have to do truncation in practice. The obtained 3-dimension graphics of electric field distribution show great efficiency for our theory.