Zener tunneling in two-dimensional photonic lattices

Date

2006-11-02

Authors

Shchesnovich, Valery
Cavalcanti, Solange
Hickmann, Jandir
Kivshar, Yuri

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Publisher

American Physical Society

Abstract

We discuss the interband light tunneling in a two-dimensional periodic photonic structure, as studied recently in experiments for optically induced photonic lattices [Trompeter et al., Phys. Rev. Lett. 96, 053903 (2006)]. We identify the Zener tunneling regime at the crossing of two Bloch bands, which occurs in the generic case of a Bragg reflection when the Bloch index crosses the edge of the irreducible Brillouin zone. Similarly, higher-order Zener tunneling involves four Bloch bands when the Bloch index passes through a high-symmetry point on the edge of the Brillouin zone. We derive simple analytical models that describe the tunneling effect, and calculate the corresponding tunneling probabilities.

Description

Keywords

Keywords: Band structure; Brillouin scattering; Light reflection; Mathematical models; Photons; Zener effect; Bloch bands; Bragg reflection; Two dimensional photonic lattices; Zener tunneling; Electron tunneling

Citation

Physical Review, E, Statistical, Nonlinear and Soft Matter Physics 74.5 (2006): 056602/1-6

Source

Physical Review E-Statistical, Nonlinear and Soft Matter Physics

Type

Journal article

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