## Optical Bloch oscillations in general waveguide lattices

JOSA B, Vol. 24, Issue 10, pp. 2632-2639 (2007)

http://dx.doi.org/10.1364/JOSAB.24.002632

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### Abstract

We study the dynamics of excitations in general two-dimensional (2D) lattices with an external spatial linear potential. Analytical expressions for the energy eigenspectrum (Wannier–Stark ladder) and the eigenstates (Wannier–Stark states) of the lattice Schrödinger equation are given, and the resulting periodic motion of localized excitations (Bloch oscillations) is investigated for arbitrary excitation, including single site and broad beam excitation.

© 2007 Optical Society of America

**OCIS Codes**

(130.3120) Integrated optics : Integrated optics devices

(230.7370) Optical devices : Waveguides

**ToC Category:**

Integrated Optics

**History**

Original Manuscript: June 14, 2007

Revised Manuscript: July 10, 2007

Manuscript Accepted: July 25, 2007

Published: September 19, 2007

**Citation**

Alexander Szameit, Thomas Pertsch, Stefan Nolte, Andreas Tünnermann, Ulf Peschel, and Falk Lederer, "Optical Bloch oscillations in general waveguide lattices," J. Opt. Soc. Am. B **24**, 2632-2639 (2007)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-24-10-2632

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