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| 2. |
- Derneryd, Anders, et al.
(author)
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Application of gain-bandwidth bounds on loaded dipoles
- 2009
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In: IET Microwaves, Antennas & Propagation. - : Institution of Engineering and Technology (IET). - 1751-8725. ; 3:6, s. 959-966
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Journal article (peer-reviewed)abstract
- Physical limitations based only on antenna volume, form factor and material parameters are applied to electrically small antennas in the form of single dipoles. The upper bound on the gain-bandwidth product is solely determined by the polarisability matrix that characterises the antenna when it is immersed in a uniform applied static field. The polarisability, and hence the bandwidth, is increased by loading the dipole arms close to their ends. The half-power impedance bandwidth is increased from 5 to 13% by moving the coils from the centre to the ends of the dipole arms. The introduction of a stub-matching further improves the bandwidth but the physical limit is not reached. Finally, a dual-resonance dipole antenna is analysed. It is observed that a second resonance hardly reduces the bandwidth of the first resonance if the resonances are separated more than 1.7 times in frequency.
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| 3. |
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| 4. |
- Gustafsson, Mats, et al.
(author)
-
A time-domain approach to the extinction paradox for scattering of electromagnetic waves
- 2008
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In: ; , s. 1-4
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Conference paper (peer-reviewed)abstract
- The extinction paradox states that a perfectly electric conducting target which is large compared to the wavelength removes from the incident radiation exactly twice the amount of power it can intercept by its geometrical cross section area. In this paper, the extinction paradox is generalized to include temporally dispersive material parameters with finite values of the permittivity and the permeability. From a time-domain approach it is shown that the high-frequency limit of the extinction cross section depends on the material parameters of the target and that a limiting value not necessarily exists. These findings are exemplified by several numerical illustrations with different values of the extinction cross section in the high-frequency limit.
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| 5. |
- Gustafsson, Mats, et al.
(author)
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An overview of some recent physical bounds in scattering and antenna theory
- 2009
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In: ; , s. 1715-1718
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Conference paper (peer-reviewed)abstract
- The objective of this paper is to give an overview of some recently developed sum rules and physical bounds in scattering and antenna theory. The sum rules are based on integral identities for Herglotz functions that relate the quantity of interest with its low and high-frequency behavior. The sum rules are transformed to bounds by estimating the integrals and applying variational results to the parameters that appear in the asymptotic expansions. The theoretical findings are exemplified by numerical results for various scattering and antenna configurations.
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| 6. |
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| 7. |
- Gustafsson, Mats, et al.
(author)
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New physical bounds on elliptically polarized antennas
- 2009
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In: ; , s. 366-368
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Conference paper (peer-reviewed)abstract
- The objective of this paper is to present a generalization of a newly developed physical bound on antennas of arbitrary shape to elliptical polarizations. The new bounds are comparable with the classical limitations for spherical geometries but provide sharper inequalities for other geometrical shapes.
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| 8. |
- Gustafsson, Mats, et al.
(author)
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Physical bounds and summation rules in antenna theory
- 2008
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In: ; , s. 1-4
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Conference paper (peer-reviewed)abstract
- Although the concept of physical bounds for electrically small antennas was first introduced more than half a century ago by Wheeler and Chu it continuous to receive attention and still there is only a partial knowledge of these bounds. Most of the research effort in this field are based on the ideas of a stored energy in the different partial waves as introduced by Chu and, hence, suffers from the same shortcomings. The objective of this paper is to present three alternative approaches to derive physical bounds on antennas that are solely based on the assumptions of linearity, timetranslational invariance, causality, and reciprocity. These assumptions are utilized in three different scattering settings to construct various Herglotz functions from which summation rules and associated physical bounds are derived.
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| 9. |
- Gustafsson, Mats, et al.
(author)
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Physical bounds on the all-spectrum transmission through periodic arrays
- 2009
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In: Physical Review Letters. - : IOP Publishing. - 1079-7114. ; 87:3, s. 1-34002
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Journal article (peer-reviewed)abstract
- We show that the blockage in transmission of a screen with a periodic microstructure integrated over all wavelengths is bounded by the static polarizability per unit area of the screen. Physical bounds on the co-polarized transmission coefficient over a wavelength interval are presented using only information from the zero-frequency properties of the microstructure. The theoretical results are compared to and verified by measurements on a screen composed of a large number of split ring resonators printed on a dielectric substrate.
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| 10. |
- Gustafsson, Mats, et al.
(author)
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Physical bounds on the antenna scattering matrix
- 2008
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In: ; , s. 4246-4249
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Conference paper (peer-reviewed)abstract
- The antenna scattering matrix is based on a spherical vector wave expansion and contains a complete description of the matching, transmission, receiving, and scattering properties of an antenna. It is commonly utilized in near-field measurements and it can also be used to model MIMO antennas. Here, an approach based on the holomorphic properties of the antenna scattering matrix is used to derive physical bounds on the bandwidth of lossless antennas. The resulting bounds are expressed in the radius of the smallest circumscribing sphere and the polarizability dyadics of the antenna. The derivation and final results resemble both the classical work by Chu (1948) and a recently developed theory based on the forward scattering. However, instead of estimating the Q-factor through the stored energy, the low-frequency expansion of the scattering matrix is used to obtain a set of summation rules from which bounds on the bandwidth are derived. The use of Cauchy integrals and the low-frequency expansion in terms of the polarizability dyadics are similar with the approach in (Chu, 1948 and Gustafsson et al., 2007).
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