Articles | Volume 15
Adv. Radio Sci., 15, 215–221, 2017
https://doi.org/10.5194/ars-15-215-2017
Adv. Radio Sci., 15, 215–221, 2017
https://doi.org/10.5194/ars-15-215-2017

  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 Philipp Jorkowski and Rolf Schuhmann
  • Technische Universität Berlin, FG Theoretische Elektrotechnik, EN-2, Einsteinufer 17, 10587 Berlin, Germany

Abstract. An algorithm to perform a higher-order sensitivity analysis for electromagnetic eigenvalue problems is presented. By computing the eigenvalue and eigenvector derivatives, the Brillouin Diagram for periodic structures can be calculated. The discrete model is described using the Finite Integration Technique (FIT) with periodic boundaries, and the sensitivity analysis is performed with respect to the phase shift φ between the periodic boundaries.

For validation, a reference solution is calculated by solving multiple eigenvalue problems (EVP). Furthermore, the eigenvalue derivatives are compared to reference values using finite difference (FD) formulas.

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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.