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Maximizing band gaps in two-dimensional photonic crystals by using level set methods

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Abstract

The optimal design of photonic band gaps for two-dimensional square lattices is considered. We use the level set method to represent the interface between two materials with two different dielectric constants. The interface is moved by a generalized gradient ascent method. The biggest gap of GaAs in air that we found is 0.4418 for TM (transverse magnetic field) and 0.2104 for TE (transverse electric field).

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Authors and Affiliations

  1. Institute for Mathematics and its Applications (IMA), University of Minnesota, Minneapolis, MN, 55455, USA

    C. Y. Kao

  2. Department of Mathematics, University of California Los Angeles, Los Angeles, CA, 90095, USA

    S. Osher

  3. Department of Electrical Engineering, University of California Los Angeles, Los Angeles, CA, 90095, USA

    E. Yablonovitch

Authors
  1. C. Y. Kao
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  2. S. Osher
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  3. E. Yablonovitch
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Correspondence to C. Y. Kao.

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Kao, C.Y., Osher, S. & Yablonovitch, E. Maximizing band gaps in two-dimensional photonic crystals by using level set methods. Appl. Phys. B 81, 235–244 (2005). https://doi.org/10.1007/s00340-005-1877-3

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  • DOI: https://doi.org/10.1007/s00340-005-1877-3

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