Abstract
In this paper, the analysis of the electromagnetic scattering from a thin dielectric disk is formulated as two sets of one-dimensional integral equations in the vector Hankel transform domain by taking advantage of the revolution symmetry of the problem and by imposing the generalized boundary conditions on the disk surface. The problem is further simplified by means of Helmholtz decomposition, which allows to introduce new scalar unknows in the spectral domain. Galerkin method with complete sets of orthogonal eigenfunctions of the static parts of the integral operators, reconstructing the physical behavior of the fields, as expansion bases, is applied to discretize the integral equations. The obtained matrix equations are Fredholm second-kind equations whose coefficients are efficiently numerically evaluated by means of a suitable analytical technique. Numerical results and comparisons with the commercial software CST Microwave Studio are provided showing the accuracy and efficiency of the proposed technique.
Highlights
Many applications in the framework of frequency-selective surfaces, graphene structures, radome design, microstrip antennas and antenna arrays, just as examples, involve thin layers of dielectric/conducting materials [1,2,3,4,5,6,7,8,9,10]
The problem can be significantly simplified if the scatterer is approximated as a surface with the fields satisfying suitable boundary conditions, generally called generalized boundary conditions [11,12]
Surface integral equation formulations for the effective electric and/or magnetic current densities, taking into account the radiation conditions of the fields, are attractive because the integral equations and the unknowns are defined on a finite support [12,13]
Summary
Many applications in the framework of frequency-selective surfaces, graphene structures, radome design, microstrip antennas and antenna arrays, just as examples, involve thin layers of dielectric/conducting materials [1,2,3,4,5,6,7,8,9,10]. Galerkin method with complete sets of orthogonal eigenfunctions of the static parts of the involved integral operators, reconstructing the behavior of the unknowns at the edge and around the center of the disk, as expansion bases is used to discretize the integral equations. In this way, the Galerkin projection acts as a perfect preconditioner and the obtained matrix equations are the Fredholm second-kind matrix operator equations. This paper is organized as follows: Section 2 is devoted to the formulation and solution of the problem, Section 3 shows the numerical results, Section 4 is dedicated to the conclusions and an Appendix A concludes the paper
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
