A General Spectral-Domain Formulation of the Electromagnetic Scattering by a Perfectly Conducting Circular Cylinder
Source: International Journal of Infrared and Millimeter Waves, Volume 22, Number 7, July 2001 , pp. 1095-1117(23)
Abstract:A full-wave method for the two-dimensional scattering problem by a perfectly conducting circular cylinder is presented, providing an exact solution for the Helmholtz equation in very general cases. The method is based on the Fourier series expression of the boundary conditions (Dirichlet and Neumann) generated by an arbitrary, finite-power, incident beam, and the analysis is performed in the complex plane of the analytic continuation of a space spectral variable. This approach allows us to define an analytic continuation for cylindrical wave expansions, working with lossy propagation media and with a full incident spectrum, including inhomogeneous waves, both in E and in H polarization. Convergence of the modal expansion is investigated, to verify that very weak hypotheses are needed, and no geometrical or paraxial approximation is required. Extact expressions for the expansion coefficients are given, in terms of complex intergrations involving the Fourier spectrum of the incident beam.
Document Type: Regular Paper
Affiliations: 1: Accent s.r.l., Via Torri Bianche 3, 20059 Vimercate, Italy 2: Dipertimento di Ingegneria Elettronica, Universitià La Sapienza, Roma, Italy 3: Dipartimento di Ingegneria Elettronica, Università Roma Tre, Via della Vasca Navale 84, 00146 Roma, Italy
Publication date: July 1, 2001