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Examination of Bandwidth Bounds of Antennas using Sum Rules for the Reflection Coefficient
KTH, School of Electrical Engineering (EES), Electromagnetic Engineering.ORCID iD: 0000-0001-7543-7432
KTH.
KTH, School of Electrical Engineering (EES), Electromagnetic Engineering.ORCID iD: 0000-0001-7269-5241
2016 (English)In: 9th International Conference on Microwave and Millimeter Wave Technology, ICMMT 2016 - Proceedings, Institute of Electrical and Electronics Engineers (IEEE), 2016, Vol. 1, p. 226-228, article id 7761731Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, the goal is to investigate the properties of the reflection coefficient of lossless antennas using sum rules. We study different bandwidth bounds derived from sum rules, and apply them to a few antennas. We also estimate the size of the correction terms of the sum rules for this case. Thereafter, we test the bounds on resonant and wide band antennas.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2016. Vol. 1, p. 226-228, article id 7761731
Keywords [en]
Bandwidth, Millimeter waves, Reflection, Correction terms, Lossless, Sum rule, Wideband antenna
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-200456DOI: 10.1109/ICMMT.2016.7761731ISI: 000390850900066Scopus ID: 2-s2.0-85009736714ISBN: 978-1-4673-8983-9 (print)OAI: oai:DiVA.org:kth-200456DiVA, id: diva2:1070141
Conference
9th International Conference on Microwave and Millimeter Wave Technology, ICMMT 2016, Beijing International Convention Center (BICC)Beijing, China, 5 June 2016 through 8 June 2016
Note

QC 20170131

Available from: 2017-01-31 Created: 2017-01-27 Last updated: 2018-11-15Bibliographically approved
In thesis
1. Antenna Limitations and Q-factor Trade-off between Parameters, Steps towards Optimal Antenna Design
Open this publication in new window or tab >>Antenna Limitations and Q-factor Trade-off between Parameters, Steps towards Optimal Antenna Design
2018 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Sub-wavelength antennas have become ubiquitous in essential devices, such as mobile phones, sensors, Internet of things (IoT) and machine to machine (M2M) communication devices. Such antennas are often embedded as a small part of the device chassis or their circuit-boards. The size assigned both to the antennas as well as the device tends to shrink, while demands on antenna performance are increasing. In such a context knowledge of optimal performance is of increasing importance. The subject of this thesis is on the bounds of small antennas, in particular bounds on impedance bandwidth performance.

The main tool to obtain bounds is antenna current optimization. The bounds are mainly focused on determining limits on the Q-factor for small antennas, and hence implicitly on the available bandwidth at a given reflection coefficient. We investigate Q-factor bounds under a number of constraints including directivity, far-field radiation pattern, efficiency, and the embedded position of the antenna. In this process, we combine physical methods, mathematical tools, and antenna engineering. We use the Method of Moments (MoM) approach to solving the Electric Field Integral Equations (EFIE), in this context we formulate and solve antenna optimization problems where the surface current density is an unknown variable, and we solve convex and non-convex quadratically constrained quadratic programs (QCQPs). For non-convex problems, we investigate different methods to obtain the solution, but with the main focus on the semidefinite relaxation (SDR) technique. Different current optimization problems are solved for a range of shapes, where the Q-factor and the optimal surface current are determined; the results are compared with full-wave-simulation of antennas that approach the bounds.

To determine the Q-factor for an available space in the device is here proposed to be an initial step of an antenna design procedure. The current optimization helps us to determine the optimal trade-off between the different performance parameters of a small antenna, and it can inspire antenna design with better performance. We furthermore show that a multi-position feeding strategy to realize an optimal current successfully realize a non-standard far-field performance. As an example, we show that the desired radiation patterns are obtained with small costs of Q-factor. The thesis ends with a discussion of initial steps to a methodology with the goal of obtaining a Q-factor optimal antenna. Here the current optimization plays an important role in the antenna synthesis and analysis stages of the process. An application to the embedded antenna is discussed in detail.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2018. p. 76
Series
TRITA-EECS-AVL ; 2018:89
Keywords
Antenna limitation, Q-factor, directivity, radiation pattern, current optimization
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Electrical Engineering
Identifiers
urn:nbn:se:kth:diva-239047 (URN)978-91-7873-019-3 (ISBN)
Public defence
2018-12-05, Kollegiesalen, Brinellvägen 8, Stockholm, 13:00 (English)
Opponent
Supervisors
Funder
Swedish Foundation for Strategic Research , AM130011
Note

QC 20181116

Available from: 2018-11-16 Created: 2018-11-15 Last updated: 2018-11-16Bibliographically approved

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