The propagation of electromagnetic fields is described by the vector Helmholtz equation. Finite element analysis of the vector Helmholtz equation involves complications such as spurious modes that do not arise in the scalar Helmholtz equation. Both driven vector field problems as well as vector eigenvalue problems may be corrupted by these divergent, nonphysical fields. Additionally, boundary and interface conditions in vector field problems are more complex than in scalar problems. In this thesis, the cause of spurious modes is analyzed and a condition called the inclusion condition is shown to eliminate the spurious modes. Mixed order covariant projection finite elements are shown to avoid spurious corruptions in both driven and eigenvalue problems. The proposed elements do not involve globally imposed constraints or penalty functions, and boundary and interface conditions are easily imposed.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.75691 |
| Date | January 1988 |
| Creators | Crowley, Christopher W. |
| Publisher | McGill University |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Format | application/pdf |
| Coverage | Doctor of Philosophy (Department of Electrical Engineering.) |
| Rights | All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated. |
| Relation | alephsysno: 000665132, proquestno: AAINL46042, Theses scanned by UMI/ProQuest. |
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