Inhomogeneous dielectrics: conformal mapping and finite-element models

Field singularities in electrostatic and magnetostatic fields require special attention in field calculations, and today finite element methods are normally used, both in homogeneous and in inhomogeneous dielectric cases. Conformal mappings are a traditional tool in the homogeneous case, but two-sta...

Full description

Saved in:
Bibliographic Details
Published in:Open Physics 2017-12, Vol.15 (1), p.839-844
Main Authors: Costamagna, Eugenio, Barba, Paolo Di
Format: Article
Language:English
Subjects:
02.60.-x
02.70.-c
41.20.-q
84.40.-x
85.40.-e
electrostatic field singularities
finite differences
finite elements
Inhomogeneous dielectrics
Schwarz-Christoffel
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Field singularities in electrostatic and magnetostatic fields require special attention in field calculations, and today finite element methods are normally used, both in homogeneous and in inhomogeneous dielectric cases. Conformal mappings are a traditional tool in the homogeneous case, but two-stage Schwarz-Christoffel + Finite Difference procedures have been proposed for a long time to solve problems in case of inhomogeneous dielectric materials too. This allowed to overcome accuracy problems caused by convex corners in the domain boundary and relevant field singularities, and to easily apply finite difference (FD) solvers in rectangular domains. In this paper, compound procedures Schwarz-Christoffel + Finite Elements Method procedures are suggested, to improve both the accuracy and the speed of second stage calculations. The results are compared to Schwarz-Christoffel + Finite Difference and to direct finite-element calculations, and the small differences analyzed considering a well know case study geometry, ., a shielded dielectric-supported stripline geometry.
ISSN:2391-5471
2391-5471
DOI:10.1515/phys-2017-0099