Discrete beam acceleration in uniform waveguide arrays

Ramy El-Ganainy, Konstantinos G. Makris, Mohammad Ali Miri, Demetrios N. Christodoulides, and Zhigang Chen

Phys. Rev. A 84, 023842 – Published 25 August 2011

Abstract

Within the framework of the tight-binding model we demonstrate that Wannier-Stark states can freely accelerate in uniform optical lattices. As opposed to accelerating Airy wave packets in free space, our analysis reveals that in this case the beam main intensity features self-bend along two opposite hyperbolic trajectories. Two-dimensional geometries are also considered and an asymptotic connection between these Wannier-Stark ladders and Airy profiles is presented.

Received 11 April 2011

DOI:https://doi.org/10.1103/PhysRevA.84.023842

Authors & Affiliations

Ramy El-Ganainy¹, Konstantinos G. Makris², Mohammad Ali Miri³, Demetrios N. Christodoulides³, and Zhigang Chen⁴

¹Department of Physics, University of Toronto, 60 St. George Street, Toronto, Ontario, Canada M5S 1A7
²Institute for Theoretical Physics, Vienna University of Technology, A-1040 Vienna, Austria
³College of Optics–CREOL, University of Central Florida, Orlando, Florida 32816, USA
⁴Department of Physics and Astronomy, San Francisco State University, San Francisco, California 94132, USA

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Issue

Vol. 84, Iss. 2 — August 2011

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