2015/06/05 by Liliana Villanueva Vergara, B. M. Rodríguez-Lara
Engineering · Mathematics · Physics and Astronomy · #Advanced Fiber Laser Technologies #Coherent states #Geometry #Homogeneous space #Lattice (music) #Mathematics #Nonlinear Photonic Systems #Optical Network Technologies #Optics #Photonic crystal #Photonics #Physics #Quantum mechanics #Symmetry (geometry) #Symmetry group #Theoretical physics #physics.optics
paper · pdf · doi:10.1364/oe.23.022836
published as Opt. Express 23, 22836 - 22846 (2015) · 16 pages, 7 figures
arxiv created 2015/06/05 · openalex publication_date 2015/08/21 · arxiv updated 2015/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We revisit electromagnetic field propagation through tight-binding 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.