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On Methods to Determine Bounds on the $Q$ -Factor for a Given Directivity

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On Methods to Determine Bounds on the $Q$ -Factor for a Given Directivity. / Jonsson, B.L.G.; Shi, Shuai; Wang, Lei et al.
In: IEEE Transactions on Antennas and Propagation, Vol. 65, No. 11, 30.11.2017, p. 5686-5696.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Jonsson, BLG, Shi, S, Wang, L, Ferrero, F & Lizzi, L 2017, 'On Methods to Determine Bounds on the $Q$ -Factor for a Given Directivity', IEEE Transactions on Antennas and Propagation, vol. 65, no. 11, pp. 5686-5696. https://doi.org/10.1109/TAP.2017.2748383

APA

Jonsson, B. L. G., Shi, S., Wang, L., Ferrero, F., & Lizzi, L. (2017). On Methods to Determine Bounds on the $Q$ -Factor for a Given Directivity. IEEE Transactions on Antennas and Propagation, 65(11), 5686-5696. https://doi.org/10.1109/TAP.2017.2748383

Vancouver

Jonsson BLG, Shi S, Wang L, Ferrero F, Lizzi L. On Methods to Determine Bounds on the $Q$ -Factor for a Given Directivity. IEEE Transactions on Antennas and Propagation. 2017 Nov 30;65(11):5686-5696. Epub 2017 Sept 1. doi: 10.1109/TAP.2017.2748383

Author

Jonsson, B.L.G. ; Shi, Shuai ; Wang, Lei et al. / On Methods to Determine Bounds on the $Q$ -Factor for a Given Directivity. In: IEEE Transactions on Antennas and Propagation. 2017 ; Vol. 65, No. 11. pp. 5686-5696.

Bibtex

@article{9002a81f46524092b95cfdc8d9007c1a,
title = "On Methods to Determine Bounds on the $Q$ -Factor for a Given Directivity",
abstract = "This paper revisit and extend the interesting case of bounds on the Q-factor for a given directivity for a small antenna of arbitrary shape. A higher directivity in a small antenna is closely connected with a narrow impedance bandwidth. The relation between bandwidth and a desired directivity is still not fully understood, not even for small antennas. Initial investigations in this direction have related the radius of a circumscribing sphere to the directivity, and bounds on the Q-factor have also been derived for a partial directivity in a given direction. In this paper, we derive lower bounds on the Q-factor for a total desired directivity for an arbitrarily shaped antenna in a given direction as a convex problem using semidefinite relaxation (SDR) techniques. We also show that the relaxed solution is also a solution of the original problem of determining the lower Q-factor bound for a total desired directivity. SDR can also be used to relax a class of other interesting nonconvex constraints in antenna optimization, such as tuning, losses, and front-to-back ratio. We compare two different new methods to determine the lowest Q-factor for arbitrary-shaped antennas for a given total directivity. We also compare our results with full electromagnetic simulations of a parasitic element antenna with high directivity.",
author = "B.L.G. Jonsson and Shuai Shi and Lei Wang and Fabien Ferrero and Leonardo Lizzi",
year = "2017",
month = nov,
day = "30",
doi = "10.1109/TAP.2017.2748383",
language = "English",
volume = "65",
pages = "5686--5696",
journal = "IEEE Transactions on Antennas and Propagation",
issn = "0018-926X",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "11",

}

RIS

TY - JOUR

T1 - On Methods to Determine Bounds on the $Q$ -Factor for a Given Directivity

AU - Jonsson, B.L.G.

AU - Shi, Shuai

AU - Wang, Lei

AU - Ferrero, Fabien

AU - Lizzi, Leonardo

PY - 2017/11/30

Y1 - 2017/11/30

N2 - This paper revisit and extend the interesting case of bounds on the Q-factor for a given directivity for a small antenna of arbitrary shape. A higher directivity in a small antenna is closely connected with a narrow impedance bandwidth. The relation between bandwidth and a desired directivity is still not fully understood, not even for small antennas. Initial investigations in this direction have related the radius of a circumscribing sphere to the directivity, and bounds on the Q-factor have also been derived for a partial directivity in a given direction. In this paper, we derive lower bounds on the Q-factor for a total desired directivity for an arbitrarily shaped antenna in a given direction as a convex problem using semidefinite relaxation (SDR) techniques. We also show that the relaxed solution is also a solution of the original problem of determining the lower Q-factor bound for a total desired directivity. SDR can also be used to relax a class of other interesting nonconvex constraints in antenna optimization, such as tuning, losses, and front-to-back ratio. We compare two different new methods to determine the lowest Q-factor for arbitrary-shaped antennas for a given total directivity. We also compare our results with full electromagnetic simulations of a parasitic element antenna with high directivity.

AB - This paper revisit and extend the interesting case of bounds on the Q-factor for a given directivity for a small antenna of arbitrary shape. A higher directivity in a small antenna is closely connected with a narrow impedance bandwidth. The relation between bandwidth and a desired directivity is still not fully understood, not even for small antennas. Initial investigations in this direction have related the radius of a circumscribing sphere to the directivity, and bounds on the Q-factor have also been derived for a partial directivity in a given direction. In this paper, we derive lower bounds on the Q-factor for a total desired directivity for an arbitrarily shaped antenna in a given direction as a convex problem using semidefinite relaxation (SDR) techniques. We also show that the relaxed solution is also a solution of the original problem of determining the lower Q-factor bound for a total desired directivity. SDR can also be used to relax a class of other interesting nonconvex constraints in antenna optimization, such as tuning, losses, and front-to-back ratio. We compare two different new methods to determine the lowest Q-factor for arbitrary-shaped antennas for a given total directivity. We also compare our results with full electromagnetic simulations of a parasitic element antenna with high directivity.

U2 - 10.1109/TAP.2017.2748383

DO - 10.1109/TAP.2017.2748383

M3 - Journal article

VL - 65

SP - 5686

EP - 5696

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

SN - 0018-926X

IS - 11

ER -