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Eigenvalue Optimization with respect to Shape‐Variations in Electromagnetic Cavities

Herter, Christine ; Schöps, Sebastian ; Wollner, Winnifried (2023)
Eigenvalue Optimization with respect to Shape‐Variations in Electromagnetic Cavities.
In: PAMM - Proceedings in Applied Mathematics & Mechanics, 2022, 22 (1)
doi: 10.26083/tuprints-00023725
Article, Secondary publication, Publisher's Version

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Item Type: Article
Type of entry: Secondary publication
Title: Eigenvalue Optimization with respect to Shape‐Variations in Electromagnetic Cavities
Language: English
Date: 28 April 2023
Place of Publication: Darmstadt
Year of primary publication: 2022
Publisher: Wiley-VCH
Journal or Publication Title: PAMM - Proceedings in Applied Mathematics & Mechanics
Volume of the journal: 22
Issue Number: 1
Collation: 6 Seiten
DOI: 10.26083/tuprints-00023725
Corresponding Links:
Origin: Secondary publication DeepGreen

The article considers the optimization of eigenvalues in electromagnetic cavities by means of shape variations. The field distribution and its frequency in a radio‐frequency cavity are governed by Maxwell's eigenvalue problem. To this end, we utilize a mixed formulation by Kikuchi (1987) and a mixed finite element discretization by means of Nédélec and Lagrange elements. The shape optimization is based on the method of mappings, where a Piola transformation is utilized to assert conformity of the mapped spaces. We derive the derivatives by the use of adjoint calculus for the constraining Maxwell eigenvalue problem. In two numerical examples, we demonstrate the functionality of this method.

Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-237254
Classification DDC: 600 Technology, medicine, applied sciences > 620 Engineering and machine engineering
Divisions: 18 Department of Electrical Engineering and Information Technology > Institute for Accelerator Science and Electromagnetic Fields > Computational Electromagnetics
Date Deposited: 28 Apr 2023 13:11
Last Modified: 14 Nov 2023 19:05
SWORD Depositor: Deep Green
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/23725
PPN: 509751679
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