Physics > Computational Physics
[Submitted on 17 Feb 2016 (v1), last revised 18 Dec 2016 (this version, v3)]
Title:Optimal Currents on Arbitrarily Shaped Surfaces
View PDFAbstract:An optimization problem has been formulated to find a resonant current extremizing various antenna parameters. The method is presented on, but not limited to, particular cases of gain $G$, quality factor $Q$, gain to quality factor ratio $G/Q$, and radiation efficiency $\eta$ of canonical shapes with conduction losses explicitly included. The Rao-Wilton-Glisson basis representation is used to simplify the underlying algebra while still allowing surface current regions of arbitrary shape to be treated. By switching to another basis generated by a specific eigenvalue problem, it is finally shown that the optimal current can, in principle, be found as a combination of a few eigenmodes. The presented method constitutes a general framework in which the antenna parameters, expressed as bilinear forms, can automatically be extremized.
Submission history
From: Lukas Jelinek [view email][v1] Wed, 17 Feb 2016 18:28:38 UTC (6,051 KB)
[v2] Sun, 26 Jun 2016 12:44:20 UTC (7,984 KB)
[v3] Sun, 18 Dec 2016 05:14:47 UTC (8,008 KB)
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