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Patch and ground plane design of microstrip antennas by material distribution topologly optimization
Umeå University, Faculty of Science and Technology, Department of Computing Science.ORCID iD: 0000-0002-1318-7519
Umeå University, Faculty of Science and Technology, Department of Computing Science.
Umeå University, Faculty of Science and Technology, Department of Computing Science.ORCID iD: 0000-0003-0473-3263
2014 (English)In: Progress in Electromagnetics Research B, ISSN 1937-6472, E-ISSN 1937-6472, Vol. 59, 89-102 p.Article in journal (Refereed) Published
Abstract [en]

We use a gradient-based material distribution approach to design conductive parts of microstrip antennas in an efficient way. The approach is based on solutions of the 3D Maxwell's equation computed by the finite-difference time-domain (FDTD) method. Given a set of incoming waves, our objective is to maximize the received energy by determining the conductivity on each Yee-edge in the design domain. The objective function gradient is computed by the adjoint-field method. A microstrip antenna is designed to operate at 1.5 GHz with 0.3 GHz bandwidth. We present two design cases. In the first case, the radiating patch and the finite ground plane are designed in two separate phases, whereas in the second case, the radiating patch and the ground plane are simultaneously designed. We use more than 58,000 design variables and the algorithm converges in less than 150 iterations. The optimized designs have impedance bandwidths of 13% and 36% for the first and second design case, respectively.

Place, publisher, year, edition, pages
Electromagnetics Academy , 2014. Vol. 59, 89-102 p.
National Category
Computer Science
Identifiers
URN: urn:nbn:se:umu:diva-87769DOI: 10.2528/PIERB14030605OAI: oai:DiVA.org:umu-87769DiVA: diva2:711069
Available from: 2014-04-09 Created: 2014-04-09 Last updated: 2017-12-05Bibliographically approved
In thesis
1. Topology Optimization of Antennas and Waveguide Transitions
Open this publication in new window or tab >>Topology Optimization of Antennas and Waveguide Transitions
2015 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis introduces a topology optimization approach to design, from scratch, efficient microwave devices, such as antennas and waveguide transitions. The design of these devices is formulated as a general optimization problem that aims to build the whole layout of the device in order to extremize a chosen objective function. The objective function quantifies some required performance and is evaluated using numerical solutions to the 3D~Maxwell's equations by the finite-difference time-domain (FDTD) method. The design variables are the local conductivity at each Yee~edge in a given design domain, and a gradient-based optimization method is used to solve the optimization problem. In all design problems, objective function gradients are computed based on solutions to adjoint-field problems, which are also FDTD discretization of Maxwell's equations but solved with different source excitations. For any number of design variables, the computation of the objective function gradient requires one solution to the original field problem and one solution to the associated adjoint-field problem. The optimization problem is solved iteratively using the globally convergent Method of Moving Asymptotes (GCMMA).

By the proposed approach, various design problems, including tens of thousands of design variables, are formulated and solved in a few hundred iterations. Examples of solved design problems are the design of wideband antennas, dual-band microstrip antennas, wideband directive antennas, and wideband coaxial-to-waveguide transitions. The fact that the proposed approach allows a fine-grained control over the whole layout of such devices results in novel devices with favourable performance. The optimization results are successfully verified with a commercial software package. Moreover, some devices are fabricated and their performance is successfully validated by experiments.

Place, publisher, year, edition, pages
Umeå University: Umeå University, 2015. 29 p.
Keyword
Maxwell's equations, topology optimization, antennas, waveguide transition, finite-difference time-domain, gradient-based optimization, adjoint-field problem, microwave devices.
National Category
Computer Science
Research subject
Computing Science
Identifiers
urn:nbn:se:umu:diva-102505 (URN)978-91-7601-255-0 (ISBN)
Public defence
2015-05-26, Naturvetarhuset, N450, Umeå universitet, Umeå, 10:15 (English)
Opponent
Supervisors
Available from: 2015-05-05 Created: 2015-04-27 Last updated: 2017-04-11Bibliographically approved

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Hassan, EmadeldeenWadbro, EddieBerggren, Martin
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