Optical and Quantum Electronics

, Volume 45, Issue 4, pp 317–327 | Cite as

Full vectorial band structure computation of photonic crystals with hexagonal lattice and a staircase approximation of the slanted unit cells

  • Stefan F. HelfertEmail author
  • Markus Daubenschüz


This paper describes band structure computations of photonic crystals with a hexagonal lattice. Particularly, the full vectorial three-dimensional case is considered. The unit cells are approximated with a staircase approximation. Due to their periodicity, fields inside the computational window can be related to those outside of this area. Numerical results are compared with those from the literature and show a very good agreement.


Photonic crystals Band structures Method of Lines Staircase approximation of the unit cell 


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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  1. 1.FernUniversität in HagenHagenGermany

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