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Shape Synthesis Based on Topology Sensitivity

Capek, Miloslav LU ; Jelinek, Lukas and Gustafsson, Mats LU (2019) In IEEE Transactions on Antennas and Propagation 67(6). p.3889-3901
Abstract
A method evaluating the sensitivity of a given parameter to topological changes is proposed within the method of moments paradigm. The basis functions are used as degrees of freedom which, when compared to the classical pixeling technique, provide important advantages, one of them being impedance matrix inversion free evaluation of the sensitivity. The devised procedure utilizes port modes and their superposition which, together with only a single evaluation of all matrix operators, leads to a computationally effective procedure. The proposed method is approximately 100 times faster than the contemporary approaches, which allows the investigation of the sensitivity and the modification of shapes in real time. The method is compared with... (More)
A method evaluating the sensitivity of a given parameter to topological changes is proposed within the method of moments paradigm. The basis functions are used as degrees of freedom which, when compared to the classical pixeling technique, provide important advantages, one of them being impedance matrix inversion free evaluation of the sensitivity. The devised procedure utilizes port modes and their superposition which, together with only a single evaluation of all matrix operators, leads to a computationally effective procedure. The proposed method is approximately 100 times faster than the contemporary approaches, which allows the investigation of the sensitivity and the modification of shapes in real time. The method is compared with the known approaches and its validity and effectiveness are verified using a series of examples. The procedure can be implemented in up-to-date electromagnetic (EM) simulators in a straightforward manner. It is shown that the iterative repetition of the topology sensitivity evaluation can be used for gradient-based topology synthesis. This technique can also be employed as a local step in global optimizers. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
IEEE Transactions on Antennas and Propagation
volume
67
issue
6
pages
3889 - 3901
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85067031382
ISSN
0018-926X
DOI
10.1109/TAP.2019.2902749
language
English
LU publication?
yes
id
247258bf-80f1-492c-a1b3-7a07c4d3ab03
date added to LUP
2019-06-27 21:07:47
date last changed
2019-07-16 04:12:56
@article{247258bf-80f1-492c-a1b3-7a07c4d3ab03,
  abstract     = {A method evaluating the sensitivity of a given parameter to topological changes is proposed within the method of moments paradigm. The basis functions are used as degrees of freedom which, when compared to the classical pixeling technique, provide important advantages, one of them being impedance matrix inversion free evaluation of the sensitivity. The devised procedure utilizes port modes and their superposition which, together with only a single evaluation of all matrix operators, leads to a computationally effective procedure. The proposed method is approximately 100 times faster than the contemporary approaches, which allows the investigation of the sensitivity and the modification of shapes in real time. The method is compared with the known approaches and its validity and effectiveness are verified using a series of examples. The procedure can be implemented in up-to-date electromagnetic (EM) simulators in a straightforward manner. It is shown that the iterative repetition of the topology sensitivity evaluation can be used for gradient-based topology synthesis. This technique can also be employed as a local step in global optimizers.},
  author       = {Capek, Miloslav and Jelinek, Lukas and Gustafsson, Mats},
  issn         = {0018-926X},
  language     = {eng},
  number       = {6},
  pages        = {3889--3901},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  series       = {IEEE Transactions on Antennas and Propagation},
  title        = {Shape Synthesis Based on Topology Sensitivity},
  url          = {http://dx.doi.org/10.1109/TAP.2019.2902749},
  volume       = {67},
  year         = {2019},
}