Solving electromagnetic boundary problems with equivalence methods

A basic problem in electromagnetics involves solving the Maxwell equations in a non-empty space, i.e. in a space with interfaces or boundaries. In this dissertation the wanted electromagnetic fields are searched via equivalence methods: a full electromagnetic problem is transformed to a simpler solvable form, or the solution is an equivalent source, or both. The chosen transformations result to two slightly different transmission line formulations or to Kelvin inversion (inversion in a sphere). The equivalent source is typically an image source. The included cases are 1) a planar multilayer chiral structure, 2) a conducting earth under a current source, 3) a sphere in an isotropic or bi-isotropic space, and 4) three types of anisotropic half-space-planar boundary or half-space problems. The first two cases (three papers) are time-dependent problems and the latter two (four papers) statics or quasi-statics. In each case the solution methodology is presented, the solutions are written, and the implications and limitations are discussed.

Department dc:contributor.department

Department of Electrical and Communications Engineering

Grantor dc:publisher

Helsinki University of Technology

Year dc:date.issued

2004

Author dc:creator

• Hänninen, Jari J.

Contributors dc:contributor

• Aalto-yliopisto
• Aalto University

Language dc:language.iso

en

Repository record dc:identifier.uri

https://aaltodoc.aalto.fi/handle/123456789/2410

OAI record oai:identifier

https://aaltodoc.aalto.fi/server/oai/request?verb=GetRecord&metadataPrefix=dim&identifier=oai%3Aaaltodoc.aalto.fi%3A123456789%2F2410