An Improved Antenna Theory Model of Lightning Return Stroke Using a Distributed Current Source–Part I: Theory and Implementation

Moini, R.; Aghabarati, Ali; Fortin, Simon; Dawalibi, F.P.

doi:10.1109/temc.2018.2830657

Cited by 9 publications

(1 citation statement)

References 34 publications

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“…In the published literature [3,13,14,16,20], these equations are normally discretised using the method of moments (MoM), with the surface surrounding the finite volume of dielectric divided into planar triangular elements, and with the unknown surface current densities expanded and tested using the Rao-Wilton-Glisson (RWG) functions [21]. In this work, however, the selected equations are solved through the MoM with the rooftop basis functions over flat quadrilaterals represented as bilinear surfaces and with razor-blade functions used for the testing procedure [22,23]. The main advantage of using the proposed discretisation scheme is the computational cost efficiency, which can virtually increase the solver capacity to handle computationally intensive problems.…”

Section: Introductionmentioning

confidence: 99%

On the use of combined surface integral equations for the analysis of high contrast penetrable objects

Nazari¹,

Moini²,

Fortin³

et al. 2023

IET Microwaves Antenna & Prop

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Accurate solutions of electromagnetic scattering problems involving objects made of materials with large permittivity contrasts are considered. Problems are formulated with different commonly used combined surface integral equations (SIEs). All studied formulations are discretised through the method of moments with rooftop basis functions over flat quadrilaterals represented as bilinear surfaces, with razor-blade functions being used for the testing procedure. The accuracy of the results is first investigated in detail for several frequencies and permittivity values using different numerical measures. It is shown that numerical instabilities may appear at frequencies corresponding to the physical resonances of the object, in particular in the near field and for large material parameter contrasts. The example of a dielectric resonator (DR) with cubic geometry is considered for the purpose of analysis, especially since to achieve smaller DR type antennas, it is necessary to use higher contrast materials. The accuracy of the combined surface integral equations to determine the natural resonant modes of the DR is investigated. It is found that the resonance modes can be accurately determined by exploring the radar cross section (RCS) of the DR in free space only if a proper combination of the electric and magnetic fields equations is applied. K E Y W O R D S computational electromagnetics, dielectric resonators, integral equations, method of moments, scatteringThis is an open access article under the terms of the Creative Commons Attribution-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited and no modifications or adaptations are made.

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