On the scattering of electromagnetic wabes by a dielectric cylinder

Abstract

The scattering of E E -polarized cylindrical electromagnetic waves by an infinitely long dielectric cylinder is investigated. For small incident wavelength the slowly converging series solution is converted to a sum of integrals. An expansion is performed so that the integrals may be divided into two classes depending on the relative locations of source and observation points. Those in the first class have points of stationary phase and an asymptotic evaluation gives contributions which are identified as those of geometric optics. The remaining integrals are evaluated as residue sums. A plot of normalized back-scattering cross section vs. normalized radius for n = .4 n = .4 is given.

Uniform asymptotic theory of diffraction at an interface

“…These results are in agreement with Keller's geometric theory of diffraction. O n S, where this theory fails, the first term in the expansion of u1 is according to (7), (8) and (14), (4) a Namely the curves on which 6…”

“…Very few problems of this class have been solved hitherto. Exact solutions (by separation of variables) are known only for the cases of two homogeneous regions separated by an interface which is a plane, [3], a circular cylinder, [4] or a sphere, [ 5 ] . Keller's geometrical theory has been applied to find the asymptotic solution when the interface is a general convex cylinder, [ 6 ] .…”