We show that classical analogs to quantum coherent and displaced Fock states can emerge in one-dimensional semi-infinite photonic lattices having a square root law for the coupling coefficients. Beam dynamics in these fully integrable structures is described in closed form, irrespective of the site of excitation. The trajectories of these beams are closely examined, and pertinent examples are provided for their realization.
© 2010 Optical Society of America
Original Manuscript: April 6, 2010
Revised Manuscript: June 9, 2010
Manuscript Accepted: June 10, 2010
Published: July 9, 2010
Armando Perez-Leija, Hector Moya-Cessa, Alexander Szameit, and Demetrios N. Christodoulides, "Glauber–Fock photonic lattices," Opt. Lett. 35, 2409-2411 (2010)