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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    title = "Reflection of focused beams from opal photonic crystals",
    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.",
    author = "Karri Varis and Marco Mattila and Sanna Arpiainen and Jouni Ahopelto and Fredrik Jonsson and C.M.S. Torres and M. Egen and R. Zentel",
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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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    T1 - Reflection of focused beams from opal photonic crystals

    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.

    PY - 2005

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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.

    U2 - 10.1364/OPEX.13.002653

    DO - 10.1364/OPEX.13.002653

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    JO - Optics Express

    JF - Optics Express

    SN - 1094-4087

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