Open AccessTransformation electromagnetics eigen‐analysis of perfect electric conductor cavities
Author(s) -
Kaifas Theodoros N.,
Vafiadis Elias,
Mitsalas Xenofon M.,
Granet Gerard,
Sahalos John N.,
Kyriakou George A.
Publication year - 2018
Publication title -
iet microwaves, antennas and propagation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.555
H-Index - 69
eISSN - 1751-8733
pISSN - 1751-8725
DOI - 10.1049/iet-map.2016.1004
Subject(s) - electromagnetics , maxwell's equations , mathematics , computational electromagnetics , basis function , transformation (genetics) , coordinate system , perfect conductor , mathematical analysis , boundary value problem , electromagnetism , basis (linear algebra) , electromagnetic field , geometry , physics , biochemistry , chemistry , engineering physics , quantum mechanics , scattering , optics , gene
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.