Journal
OPTICS EXPRESS
Volume 23, Issue 17, Pages 22836-22846Publisher
OPTICAL SOC AMER
DOI: 10.1364/OE.23.022836
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- CONACYT [294880]
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We revisit electromagnetic field propagation through tightbinding arrays of coupled photonic waveguides, with properties independent of the propagation distance, and recast it as a symmetry problem. We focus our analysis on photonic lattices with underlying symmetries given by three well-known groups, SU (2), SU (1;1) and Heisenberg-Weyl, to show that disperssion relations, normal states and impulse functions can be constructed following a Gilmore-Perelomov coherent state approach. Furthermore, this symmetry based approach can be followed for each an every lattice with an underlying symmetry given by a dynamical group. (C) 2015 Optical Society of America
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