Integral Transforms in Electromagnetic Formulation

Onthe Implementation and Formulation Ofthe Electromagnetic Surface Integral Equations

Henstock-Kurzweil Integral Transforms

Copyright q 2012 Salvador Sánchez-Perales et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We show conditions for the existence, continuity, and differentiability of functions defined by ΓΓs ∞ −∞ ftgt, sdt, where f is a func...

Global Behavior of Integral Transforms

It should be remarked that asymptotic estimates of the behavior of the sine and of other integral transforms of regularly varying functions [6] in terms of the function f (1/x) had been obtained before [7–9], both as x → 0 and as x →∞. However, (1.1) is a global estimate that not only considers the endpoint behavior but also holds for all x > 0. Our aim in this article is to generalize (1.1) in...

A-T Volume Integral Formulation for Solving Electromagnetic Problems in the frequency domain

Volume integral formulations for solving electromagnetic problems in the frequency domain are proposed. Firstly, it is based on a magnetic flux B and current density J facet interpolation for representing the electromagnetic problem through an equivalent circuit. Secondly, magnetic vector potentials A and electric vector potential T are considered thanks to discrete geometric approach. The form...

Generalized KVL-KCL Formulation for Coupled Electromagnetic-Circuit Simulation with Surface Integral Equations

In this paper, a new formulation for coupled electromagnetic-circuit simulation is presented. The formulation employs full-wave integral equations to model the electromagnetic (EM) behavior of 2D or 3D structures while using modified nodal analysis (MNA) to model circuit interactions. A coupling scheme based on charge and current continuity and potential matching, realized as a generalization o...