Advances in Radio Science
Advances in Radio Science
ARS
Articles | Volume 15
Articles | Volume 15
https://doi.org/10.5194/ars-15-215-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/ars-15-215-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
Articles | Volume 15
21 Sep 2017
 | 21 Sep 2017

Higher-order sensitivity analysis of periodic 3-D eigenvalue problems for electromagnetic field calculations

Philipp Jorkowski and Rolf Schuhmann

Cited articles

Bandlow, B., Schuhmann, R., Lubkowski, G., and Weiland, T.: Analysis of Single-Cell Modeling of Periodic Metamaterial Structures, IEEE T. Magnetics, 44, 1662–1665, https://doi.org/10.1109/TMAG.2007.916037, 2008.
Bandlow, B. T.: Zur Berechnung elektromagnetischer Eigenwertprobleme in der numerischen Simulation von Nanostrukturen mit periodischen und transparenten Randbedingungen, PhD thesis, Paderborn University, Paderborn, Germany, 2011.
Burschäpers, N., Fiege, S., Schuhmann, R., and Walther, A.: Sensitivity analysis of waveguide eigenvalue problems, Adv. Radio Sci., 9, 85–89, https://doi.org/10.5194/ars-9-85-2011, 2011.
CST: CST Studio Suite, www.cst.com, last access: 15 January 2017, 2016.
Dailey, R. L.: Eigenvector derivatives with repeated eigenvalues, AIAA J., 27, 486–491, 1989.
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Short summary
An algorithm to perform a sensitivity analysis for electromagnetic eigenvalue problems is presented. By computing the sensitivity of the eigenvalues und eigenvectors of the problem, a couple of information can be derived with only a single calculation, which normally requires multiple computations. The results for the sensitivity of a specific parameter is presented and show good agreement with other methods. It’s a basic algorithm which can be applied to similar problems.
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