Vector basis function solution of Maxwell's equations

[摘要] A general technique for solving Maxwell;;s equations exactly, based on expansion of the solution in a complete set of vector basis functions has been developed. These vector eigenfunctions are derived from the complete set of separable solutions to the scalar Helmholtz equation in a particular coordinate system and are shown to form a complete set. The method is applicable to a variety of problems including the study of near and far field electromagnetic scattering from particles with arbitrary shapes, plasmon resonances in spherical nanoparticles with spherically concentric ;;shells;; and the calculation of plasmon resonances in the sphere-plane geometry. An exact method for solving the inhomogenous Maxwell;;s equation (i.e., in the presence of charges and currents) is also outlined.

[发布机构] Rice University

[效力级别] Physics