26 September 2016 Classical analogues of Gilmore-Perelomov coherent states
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Abstract
We analyze the propagation of electromagnetic fields through tight-binding arrays of coupled photonic waveguides as a symmetry problem in the case of invariant properties of the propagation distance. We consider the Heisenberg-Weyl group and the photonic lattices with that underlying symmetry. Based on this, dispersion relations, impulse functions and normal states can be constructed from the point of view of Gilmore-Perelomov coherent state approach and different classes of propagation invariant input can be constructed.
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Liliana Villanueva Vergara, Liliana Villanueva Vergara, B. M. Rodríguez-Lara, B. M. Rodríguez-Lara, "Classical analogues of Gilmore-Perelomov coherent states", Proc. SPIE 9932, Carbon Nanotubes, Graphene, and Emerging 2D Materials for Electronic and Photonic Devices IX, 99320D (26 September 2016); doi: 10.1117/12.2235872; https://doi.org/10.1117/12.2235872
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