21 February 2013 Conformal transformation of photonic crystal structures
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Abstract
In this paper we present an algorithm that maps a reference diffracting structure along an arbitrarily curved boundary. The proposed algorithm produces deformed photonic crystal lattice patches with minimal angular distortion of its unit cells, thus realizing a discrete quasi-conformal transformation of the dielectric map. We then investigate the field confinement characteristics of some curved waveguide devices realized by such structures.
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Marco Zocca, Matthijs Langelaar, Fred van Keulen, "Conformal transformation of photonic crystal structures", Proc. SPIE 8632, Photonic and Phononic Properties of Engineered Nanostructures III, 863210 (21 February 2013); doi: 10.1117/12.2002801; https://doi.org/10.1117/12.2002801
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