Bandwidth, Q factor, and resonance models of antennas
(2006) In Progress in Electromagnetics Research-Pier 62. p.1-20- Abstract
- In this paper, we introduce a first order accurate resonance model based on a second order Pade approximation of the reflection coefficient of a narrowband antenna. The resonance model is characterized by its Q factor, given by the frequency derivative of the reflection coefficient. The Bode-Fano matching theory is used to determine the bandwidth of the resonance model and it is shown that it also determines the bandwidth of the antenna for sufficiently narrow bandwidths. The bandwidth is expressed in the Q factor of the resonance model and the threshold limit on the reflection coefficient. Spherical vector modes are used to illustrate the results. Finally, we demonstrate the fundamental difficulty of finding a simple relation between the... (More)
- In this paper, we introduce a first order accurate resonance model based on a second order Pade approximation of the reflection coefficient of a narrowband antenna. The resonance model is characterized by its Q factor, given by the frequency derivative of the reflection coefficient. The Bode-Fano matching theory is used to determine the bandwidth of the resonance model and it is shown that it also determines the bandwidth of the antenna for sufficiently narrow bandwidths. The bandwidth is expressed in the Q factor of the resonance model and the threshold limit on the reflection coefficient. Spherical vector modes are used to illustrate the results. Finally, we demonstrate the fundamental difficulty of finding a simple relation between the Q of the resonance model, and the classical Q defined as the quotient between the stored and radiated energies, even though there is usually a close resemblance between these entities for many real antennas. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/395462
- author
- Gustafsson, Mats
LU
and Nordebo, Sven LU
- organization
- publishing date
- 2006
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Progress in Electromagnetics Research-Pier
- volume
- 62
- pages
- 1 - 20
- publisher
- EMW Publishing
- external identifiers
-
- wos:000239815600001
- scopus:33947245103
- ISSN
- 1070-4698
- DOI
- 10.2528/PIER06033003
- language
- English
- LU publication?
- yes
- id
- a2a792ae-b1e1-4723-b362-00c50a782380 (old id 395462)
- date added to LUP
- 2016-04-01 11:48:54
- date last changed
- 2022-01-26 18:41:13
@article{a2a792ae-b1e1-4723-b362-00c50a782380, abstract = {{In this paper, we introduce a first order accurate resonance model based on a second order Pade approximation of the reflection coefficient of a narrowband antenna. The resonance model is characterized by its Q factor, given by the frequency derivative of the reflection coefficient. The Bode-Fano matching theory is used to determine the bandwidth of the resonance model and it is shown that it also determines the bandwidth of the antenna for sufficiently narrow bandwidths. The bandwidth is expressed in the Q factor of the resonance model and the threshold limit on the reflection coefficient. Spherical vector modes are used to illustrate the results. Finally, we demonstrate the fundamental difficulty of finding a simple relation between the Q of the resonance model, and the classical Q defined as the quotient between the stored and radiated energies, even though there is usually a close resemblance between these entities for many real antennas.}}, author = {{Gustafsson, Mats and Nordebo, Sven}}, issn = {{1070-4698}}, language = {{eng}}, pages = {{1--20}}, publisher = {{EMW Publishing}}, series = {{Progress in Electromagnetics Research-Pier}}, title = {{Bandwidth, Q factor, and resonance models of antennas}}, url = {{http://dx.doi.org/10.2528/PIER06033003}}, doi = {{10.2528/PIER06033003}}, volume = {{62}}, year = {{2006}}, }