## 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 […]

## Fokas Based Dirichlet-to-Neumann Operators for Accurate Signal Integrity Assessment of Interconnects

In this contribution, we present a new approach to fully characterize interconnects composed out of arbitrary polygonal cross-sections and containing piecewise homogeneous material parameters. The complex per-unit-of-length inductance and capacitance matrices are obtained through the application of pertinent Dirichlet-to-Neumann operators, which are computed by means of an extended Fokas method, that are integrated in a […]

## Efficient Characterization of Interconnects with Arbitrary Polygonal Cross-sections using Fokas-derived Dirichlet-to-Neumann Operators

A novel technique to accurately characterize interconnects with general, piecewise homogeneous material parameters and arbitrary polygonal cross-sections is presented. To compute the per-unit-of-length complex inductance and capacitance matrices of the considered structures, we apply a boundary integral equation framework, invoking a Dirichlet-to-Neumann formalism to recast the problem at hand. The pertinent operators are constructed by […]

## Reduced-Order Stochastic Testing of Interconnects Subject to Line Edge Roughness

In this contribution we study the propagation constant of interconnects subject to line edge roughness by means of an efficient stochastic framework. By employing the stochastic testing method, we succeed in limiting the number of calls to the full-wave electromagnetic field solver at the core of the system. Additionally, the computationally burdensome solution of the […]

## Accurate Characterization of Radiation from Interconnects on Interposer at mmWave Frequencies

An electromagnetic interference (EMI) assessment of mmWave interposers becomes increasingly important as the need for heterogeneous systems increases. However, the small size and complexity of these platforms make it more difficult to accurately measure them and, thus, a dedicated set-up to isolate the interposer’s emission is required. In this contribution, we first show experimentally that […]

## Comparison of two novel integral equation approaches for lossy conductor modeling

In this paper, we take a closer look at two novel boundary integral equation methods that are ideally suitable for modeling good but lossy conductors. The first method leverages the Calderón identities to precondition the homogeneous Poincaré-Steklov operator for high dielectric contrast materials. The second technique constructs an alternative formulation of the Poincaré-Steklov operator based […]