Reflection of focused beams from opal photonic crystals

Karri Varis (Corresponding Author), Marco Mattila, Sanna Arpiainen, Jouni Ahopelto, Fredrik Jonsson, C.M.S. Torres, M. Egen, R. Zentel

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)2653 - 2667
Number of pages15
JournalOptics Express
Volume13
Issue number7
DOIs
Publication statusPublished - 2005
MoE publication typeA1 Journal article-refereed

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plane waves
photonics
crystals
polymethyl methacrylate
polystyrene
boundary conditions
scaling
symmetry

Cite this

Varis, K., Mattila, M., Arpiainen, S., Ahopelto, J., Jonsson, F., Torres, C. M. S., ... Zentel, R. (2005). Reflection of focused beams from opal photonic crystals. Optics Express, 13(7), 2653 - 2667. https://doi.org/10.1364/OPEX.13.002653
Varis, Karri ; Mattila, Marco ; Arpiainen, Sanna ; Ahopelto, Jouni ; Jonsson, Fredrik ; Torres, C.M.S. ; Egen, M. ; Zentel, R. / Reflection of focused beams from opal photonic crystals. In: Optics Express. 2005 ; Vol. 13, No. 7. pp. 2653 - 2667.
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Varis, K, Mattila, M, Arpiainen, S, Ahopelto, J, Jonsson, F, Torres, CMS, Egen, M & Zentel, R 2005, 'Reflection of focused beams from opal photonic crystals', Optics Express, vol. 13, no. 7, pp. 2653 - 2667. https://doi.org/10.1364/OPEX.13.002653

Reflection of focused beams from opal photonic crystals. / Varis, Karri (Corresponding Author); Mattila, Marco; Arpiainen, Sanna; Ahopelto, Jouni; Jonsson, Fredrik; Torres, C.M.S.; Egen, M.; Zentel, R.

In: Optics Express, Vol. 13, No. 7, 2005, p. 2653 - 2667.

Research output: Contribution to journalArticleScientificpeer-review

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AU - Varis, Karri

AU - Mattila, Marco

AU - Arpiainen, Sanna

AU - Ahopelto, Jouni

AU - Jonsson, Fredrik

AU - Torres, C.M.S.

AU - Egen, M.

AU - Zentel, R.

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AB - 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.

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