Three-dimensional photonic crystals by holographic lithography using the umbrella configuration: Symmetries and complete photonic band gaps

    Authors

    D. C. Meisel; M. Wegener;K. Busch

    Comments

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    Abbreviated Journal Title

    Phys. Rev. B

    Keywords

    INFRARED WAVELENGTHS; MINIMAL-SURFACES; INTERFERENCE; FABRICATION; TEMPLATES; LATTICES; ATOMS; Physics, Condensed Matter

    Abstract

    We present a detailed study of the crystallographic symmetries and band structures of three-dimensional photonic crystals that are amenable to nanofabrication through holographic lithography. For the experimentally preferable umbrella geometry, we identify realistic parameters that lead to structures with complete three-dimensional photonic band gaps. We find a solution, for which the photonic crystals have rhombohedral point symmetry. This solution is a member of the same space group as the celebrated Yablonovite structure and has a similar crystallographic motif. We find a complete photonic band gap with a gap/midgap ratio of 5.8% between the second and third band after silicon inversion at 38% silicon filling fraction. In addition, we identify parameter combinations for which the optimized interference contrast is as large as a factor of 10, rendering the fabrication of this structure possible.

    Journal Title

    Physical Review B

    Volume

    70

    Issue/Number

    16

    Publication Date

    1-1-2004

    Document Type

    Article

    Language

    English

    First Page

    10

    WOS Identifier

    WOS:000224856000029

    ISSN

    1098-0121

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