Analytic Differential Admittance Operator for Tangential Dipole Illumination of a Dielectric Sphere
In this paper, the exact differential surface admittance (DSA) operator for scattering analysis of a homogeneous dielectric sphere is constructed. By utilizing two sets of orthogonal vector spherical harmonics as the basis functions for a Galerkin Method of Moments, the operator in question is obtained analytically. In comparison with the Mie series solution for a […]
Exact Spectral Analysis of Traditional and Single-Source Integral Equations for a Penetrable Sphere
Behaviour of the numerical discretization schemes of the integral equations (IEs) such as the Method of Moments, the Locally Corrected Nystrom method and others largely depends on the spectral properties of the continuous integro-differential operators forming such equations. This includes susceptibility of these numerical schemes to various breakdowns including low-frequency breakdown, oversampling breakdown, spurious resonances, […]
Analytic Differential Admittance Operator Solution of a Dielectric Sphere under Radial Dipole Illumination
In this contribution, the exact solution of the electric field integral equation (EFIE) combined with the differential surface admittance (DSA) operator is presented for scattering at a homogeneous dielectric sphere. By employing a Galerkin Method of Moments with two complete sets of orthogonal vector spherical harmonics as basis functions, both operators involved are constructed with […]
Modeling of Tunable Electronic Waveguide Devices in Graphene using Conservative Higher-Order Time Stepping
An accurate technique leveraging conservative higher-order time stepping is proposed to analyze electrostatically induced waveguides in graphene. These highly tunable one-dimensional (1D) electronic channels are a promising interconnect alternative for graphene nanoribbons (GNRs) and carbon nanotubes (CNTs) to be used in future integrated circuits (ICs). A detailed discussion of the eigenmodes of these waveguides is […]