21 February 2013 Conformal transformation of photonic crystal structures
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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, Marco Zocca, Matthijs Langelaar, Matthijs Langelaar, Fred van Keulen, 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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