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Minimization of Antenna Quality Factor

Capek, Miloslav LU ; Gustafsson, Mats LU and Schab, Kurt (2017) In IEEE Transactions on Antennas and Propagation1963-01-01+01:00 65(8). p.4115-4123
Abstract

Optimal currents on arbitrarily shaped radiators with respect to the minimum quality factor are found using a simple and efficient procedure. The solution starts with a reformulation of the problem of minimizing quality factor Q as an alternative, so-called dual, problem. Taking advantage of modal decomposition and group theory, it is shown that the dual problem can easily be solved and always results in minimal quality factor Q. Moreover, the optimization procedure is generalized to minimize quality factor Q for embedded antennas, with respect to the arbitrarily weighted radiation patterns, or with prescribed magnitude of the electric and magnetic near-fields. The obtained numerical results are compatible with previous results based on... (More)

Optimal currents on arbitrarily shaped radiators with respect to the minimum quality factor are found using a simple and efficient procedure. The solution starts with a reformulation of the problem of minimizing quality factor Q as an alternative, so-called dual, problem. Taking advantage of modal decomposition and group theory, it is shown that the dual problem can easily be solved and always results in minimal quality factor Q. Moreover, the optimization procedure is generalized to minimize quality factor Q for embedded antennas, with respect to the arbitrarily weighted radiation patterns, or with prescribed magnitude of the electric and magnetic near-fields. The obtained numerical results are compatible with previous results based on composition of modal currents, convex optimization, and quasistatic approximations; however, using the methodology in this paper, the class of solvable problems is significantly extended.

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author
organization
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type
Contribution to journal
publication status
published
subject
keywords
Antenna theory, Antennas, Convex functions, Eigenvalues and eigenfunctions, eigenvalues and eigenfunctions, electromagnetic theory, Impedance, Minimization, Optimization, optimization methods, Q factor, Q-factor
in
IEEE Transactions on Antennas and Propagation1963-01-01+01:00
volume
65
issue
8
pages
4115 - 4123
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85021824067
  • wos:000407397600031
ISSN
0018-926X
DOI
10.1109/TAP.2017.2717478
language
English
LU publication?
yes
id
9201f4e1-47af-4cde-a4b3-10481daa5a70
date added to LUP
2017-07-19 08:32:44
date last changed
2018-10-21 04:48:45
@article{9201f4e1-47af-4cde-a4b3-10481daa5a70,
  abstract     = {<p>Optimal currents on arbitrarily shaped radiators with respect to the minimum quality factor are found using a simple and efficient procedure. The solution starts with a reformulation of the problem of minimizing quality factor Q as an alternative, so-called dual, problem. Taking advantage of modal decomposition and group theory, it is shown that the dual problem can easily be solved and always results in minimal quality factor Q. Moreover, the optimization procedure is generalized to minimize quality factor Q for embedded antennas, with respect to the arbitrarily weighted radiation patterns, or with prescribed magnitude of the electric and magnetic near-fields. The obtained numerical results are compatible with previous results based on composition of modal currents, convex optimization, and quasistatic approximations; however, using the methodology in this paper, the class of solvable problems is significantly extended.</p>},
  author       = {Capek, Miloslav and Gustafsson, Mats and Schab, Kurt},
  issn         = {0018-926X},
  keyword      = {Antenna theory,Antennas,Convex functions,Eigenvalues and eigenfunctions,eigenvalues and eigenfunctions,electromagnetic theory,Impedance,Minimization,Optimization,optimization methods,Q factor,Q-factor},
  language     = {eng},
  number       = {8},
  pages        = {4115--4123},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  series       = {IEEE Transactions on Antennas and Propagation1963-01-01+01:00},
  title        = {Minimization of Antenna Quality Factor},
  url          = {http://dx.doi.org/10.1109/TAP.2017.2717478},
  volume       = {65},
  year         = {2017},
}