NDLI: Transformation electromagnetics eigen-analysis of perfect electric conductor cavities

Content Provider	IET Digital Library
Author	Kaifas, Theodoros N. Vafiadis, Elias Mitsalas, Xenofon M. Granet, Gerard Sahalos, John N. Kyriakou, George A.
Abstract	An alternative variational modal analysis technique is contributed by this study. Although the weak form of the Maxwell equations is employed, instead of using the finite elements technique, the authors utilise entire/global domain vectorial basis functions. In such a case, to assist performance, the basis functions must comply with the boundary conditions. Since in general, this is a difficult task, they adopt the following strategy. They transform the initial convex cavity using coordinate transformation to a canonical one, where a known complete set of vectorial basis functions exist. Then, taking advantage of the form invariance property of the Maxwell equations, in the transformed domain, the authors solve the canonical variational problem and acquire the respective solution to the initial problem by the inverse electromagnetics transformation. Summarising, the contributing concept is to employ a coordinate transformation to a canonical shape employing ‘transformation electromagnetics’ approach as a pre-processing tool to enlarge the scope of a classical electomagnetics (EM) variational eigen-analysis using the canonical shape's vector modes.
Starting Page	1435
Ending Page	1443
Page Count	9
ISSN	17518725
Volume Number	12
e-ISSN	17518733
Issue Number	Issue 8, Jul (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-map/12/8
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-map.2016.1004
Journal	IET Microwaves, Antennas & Propagation
Publisher Date	2018-02-23
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Canonical Shape Vector Mode Canonical Variational Problem Classical EM Variational Eigenanalysis Coordinate Transformation Eigen Values And Eigen Function Electromagnetic Wave Propagation Function Theory And Analysis Global Domain Vectorial Basis Function Initial Convex Cavity Invariance Property Inverse Electromagnetics Transformation Mathematical Analysis Maxwell Equation Maxwell Theory: General Mathematical Aspects Modal Analysis Perfect Electric Conductor Cavities Transformation Electromagnetics Eigenanalysis Variational Modal Analysis Technique Variational Technique
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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