Articles | Volume 9
Adv. Radio Sci., 9, 85–89, 2011
https://doi.org/10.5194/ars-9-85-2011
Adv. Radio Sci., 9, 85–89, 2011
https://doi.org/10.5194/ars-9-85-2011

  29 Jul 2011

29 Jul 2011

Sensitivity analysis of waveguide eigenvalue problems

N. Burschäpers1, S. Fiege2, R. Schuhmann1, and A. Walther2 N. Burschäpers et al.
  • 1Universität Paderborn, EIM, Fachgebiet Theoretische Elektrotechnik, Germany
  • 2Universität Paderborn, EIM, Lehrstuhl für Mathematik und ihre Anwendungen, Germany

Abstract. We analyze the sensitivity of dielectric waveguides with respect to design parameters such as permittivity values or simple geometric dependencies. Based on a discretization using the Finite Integration Technique the eigenvalue problem for the wave number is shown to be non-Hermitian with possibly complex solutions even in the lossless case. Nevertheless, the sensitivity can be obtained with negligible numerical effort. Numerical examples demonstrate the validity of the approach.