Solution of the Mie Theory Equations

Publisher Summary The Mie theory treats the problem of solving a vector wave equation for the electric and magnetic fields inside and outside a homogeneous isotropic sphere. One solves the wave equation inside and outside the sphere, and applies boundary conditions of continuity of tangential components of the electric and magnetic fields (no currents).The actual method uses the solution of a scalar wave equation in spherical coordinates and transforms the resulting functions into vector fields by a method discovered by Hertz and Debye. The chapter discusses the procedure of deriving solutions through the above-mentioned method.