Chapter 17. Finite Element Simulation of Radiation Losses in Photonic Crystal Fibers

  1. Prof. Ralf B. Wehrspohn2,3,
  2. Prof. H.-S. Kitzerow4 and
  3. Prof. Kurt Busch5
  1. Jan Pomplun,
  2. Lin Zschiedrich,
  3. Roland Klose,
  4. Frank Schmidt and
  5. Sven Burger

Published Online: 4 MAR 2008

DOI: 10.1002/9783527621880.ch17

Nanophotonic Materials: Photonic Crystals, Plasmonics, and Metamaterials

Nanophotonic Materials: Photonic Crystals, Plasmonics, and Metamaterials

How to Cite

Pomplun, J., Zschiedrich, L., Klose, R., Schmidt, F. and Burger, S. (2008) Finite Element Simulation of Radiation Losses in Photonic Crystal Fibers, in Nanophotonic Materials: Photonic Crystals, Plasmonics, and Metamaterials (eds R. B. Wehrspohn, H.-S. Kitzerow and K. Busch), Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527621880.ch17

Editor Information

  1. 2

    Fraunhofer-Institute for Mechanics of Materials, Halle; Germany

  2. 3

    Martin-Luther University, Halle-Wittenberg, Institute of Physics, 06099 Halle, Germany

  3. 4

    Department of Physical Chemistry FB13, University of Paderborn, Faculty of Science, Warburger Str. 100, 33098 Paderborn, Germany

  4. 5

    Universität Karlsruhe, Institute of Thoeretical Solid State Physics, 76128 Karlsruhe, Germany

Author Information

  1. Zuse Institute Berlin, Takustraße 7, 14195 Berlin, Germany

Publication History

  1. Published Online: 4 MAR 2008
  2. Published Print: 20 FEB 2008

ISBN Information

Print ISBN: 9783527408580

Online ISBN: 9783527621880

SEARCH

Keywords:

  • nanophotonic materials;
  • photonic crystal fibres (PCFs);
  • finite element simulation;
  • radiation losses;
  • propagation mode problem;
  • Maxwell's equations;
  • finite element method;
  • hollow core photonic crystal fibers;
  • goal oriented error estimator;
  • convergence of Eigenvalues;
  • different error estimators;
  • HCPCF design;
  • Kagome-structured fibers

Summary

This chapter contains sections titled:

  • Introduction

  • Formulation of Propagation Mode Problem

  • Discretization of Maxwell's Equations with the Finite Element Method

  • Computation of Leaky Modes in Hollow Core Photonic Crystal Fibers

  • Goal Oriented Error Estimator

  • Convergence of Eigenvalues Using Different Error Estimators

  • Optimization of HCPCF Design

  • Kagome-Structured Fibers

  • Conclusion

  • References