A difference equation obtained for the reassociated Green dyadic formalism is exploited to obtain solutions for the case of a multilayered dielectric medium. Computation of limits as layers become progressively thinner leads to a parallel development for the case of a dielectric varying continuously in a single direction. A demonstration example then shows how discrete and continuous techniques can be combined into a hybrid formulation. Finally, numerical computations are presented for the simple case of a dipole, illustrating convergence of the difference equation solutions to the differential equation solution.
© 2000 Optical Society of America
(000.3860) General : Mathematical methods in physics
(000.4430) General : Numerical approximation and analysis
(240.0240) Optics at surfaces : Optics at surfaces
(290.0290) Scattering : Scattering
(350.5500) Other areas of optics : Propagation
Robert L. Hartman, "Green dyadic calculations for inhomogeneous optical media," J. Opt. Soc. Am. A 17, 1067-1076 (2000)