Volume 13, Number 7, 2653-2667 (April 2005).
Reflection of focused beams from opal photonic crystals
Karri Varis,1 Marco Mattila,1 Sanna Arpiainen,2 Jouni Ahopelto,2 Fredrik Jonsson,3 Clivia M Sotomayor Torres,3 Marc Egen,4 and Rudolf Zentel4
1Optoelectronics laboratory, Helsinki University of Technology, P.O. Box 3500, FIN-02015 TKK, Finland.2VTT Information Technology, P.O.Box 1208, 02044 VTT, Finland.
3Tyndall National Institute, University College Cork, Lee Maltings, Prospect Row, Cork, Ireland.
4Institute of Organic Chemistry, University of Mainz, Duesbergweg 10-14, D-55099 Mainz, Germany.
Abstract
We present a robust method for computing the reflection of arbitrarily shaped and sized beams from finite thickness photonic crystals. The method is based on dividing the incident beam into plane waves, each of which can be solved individually using Bloch periodic boundary conditions. This procedure allows us to take a full advantage of the crystal symmetry and also leads to a linear scaling of the computation time with respect to the number of plane waves needed to expand the incident beam. The algorithm for computing the reflection of an individual plane wave is also reviewed. Finally, we find an excellent agreement between the computational results and measurement data obtained from opals that are synthesized using polystyrene and poly(methyl methacrylate) microspheres.
Full text: PDF [197 kB] | DOI: 10.1364/opex.13.002653
Optics Infobase: http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-7-2653