Cagniard-DeHoop technique-based computation of retarded zero-thickness partial elements

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F22%3APU144300" target="_blank" >RIV/00216305:26220/22:PU144300 - isvavai.cz</a>

Result on the web

<a href="https://www.sciencedirect.com/science/article/pii/S0955799722000054" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0955799722000054</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.enganabound.2022.01.005" target="_blank" >10.1016/j.enganabound.2022.01.005</a>

Result language

angličtina

Original language name

Cagniard-DeHoop technique-based computation of retarded zero-thickness partial elements

Original language description

Integral-equation based methods for the solution of Maxwell's equations require that the physical system under analysis be meshed into elementary volumes and surfaces. This happens for the method of moments (MoM) and the partial element equivalent circuit (PEEC) method. Then, interaction integrals describing the electric and magnetic field coupling between these elementary regions need to be computed. This is typically done in the frequency domain by resorting to numerical quadrature schemes. In the time domain (TD), brute approximations are typically done leading to simplified schemes which lack the accuracy especially for electrically large problems when propagation delays are important. Such approximations are quite poor also for close elementary regions which are very strong and, thus very important to the overall solution. Hence, in the perspective of developing an accurate time domain solver, it is desirable to have time domain analytical or quasi-analytical forms of the interaction integrals. In this work, we shall derive quasi-closed-form expressions for retarded coefficients as they appear in the partial element equivalent circuit (PEEC) method. To this aim, the Cagniard-DeHoop (CdH) technique exploiting pertinent integration path deformation in the complex-domain leads to semi-analytical forms. The analysis is carried out for a pair of parallel (but non coplanar) and orthogonal fundamental surface elements as they occur in the modeling of the electric field coupling due to free or bound charges on the surface of conductors and dielectrics. The same results hold also for the magnetic field coupling assuming that currents flow within thin conductors. The accuracy of the proposed approach is tested for representative parallel and orthogonal patches.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

20201 - Electrical and electronic engineering

Project

<a href="/en/project/GA20-01090S" target="_blank" >GA20-01090S: Pulsed EM Field Interaction With Thin-Film Structures</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2022

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

ISSN

0955-7997

e-ISSN

1873-197X

Volume of the periodical

137

Issue of the periodical within the volume

1

Country of publishing house

GB - UNITED KINGDOM

Number of pages

9

Pages from-to

56-64

UT code for WoS article

000773500400002

EID of the result in the Scopus database

2-s2.0-85123723984