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Optical and Quantum Electronics

, Volume 39, Issue 10–11, pp 849–864 | Cite as

A variational mode expansion mode solver

  • O. V. Ivanova
  • M. Hammer
  • R. Stoffer
  • E. van Groesen
Article

Abstract

A variational approach for the semivectorial modal analysis of dielectric waveguides with arbitrary piecewise constant rectangular 2D cross-sections is developed. It is based on a representation of a mode profile as a superposition of modes of constituting slab waveguides times some unknown continuous coefficient functions, defined on the entire coordinate axis. The propagation constant and the lateral functions are found from a variational principle. It appears that this method with one or two modes in the expansion preserves the computational efficiency of the “standard” effective index method while providing more accurate estimates for propagation constants, and well-defined continuous approximations for mode profiles. By including a larger number of suitable trial fields, the present approach can also serve as a technique for rigorous semivectorial mode analysis.

keywords

Integrated optics Mode Solver Variational technique 

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Copyright information

© Springer Science+Business Media, LLC. 2007

Authors and Affiliations

  • O. V. Ivanova
    • 1
  • M. Hammer
    • 1
  • R. Stoffer
    • 1
  • E. van Groesen
    • 1
  1. 1.MESA + Institute for Nanotechnology, AAMP GroupUniversity of TwenteEnschedeThe Netherlands

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