Resonant Zener tunneling in two-dimensional periodic photonic lattices

Anton S. Desyatnikov; Yuri S. Kivshar; Valery S. Shchesnovich; Solange B. Cavalcanti; Jandir M. Hickmann

doi:10.1364/OL.32.000325

Resonant Zener tunneling in two-dimensional periodic photonic lattices

Anton S. Desyatnikov^*, Yuri S. Kivshar, Valery S. Shchesnovich, Solange B. Cavalcanti, Jandir M. Hickmann

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

Abstract

We study Zener tunneling in two-dimensional photonic lattices and derive, for the case of hexagonal symmetry, the generalized Landau-Zener-Majorana model describing resonant interaction between high-symmetry points of the photonic spectral bands. We demonstrate that this effect can be employed for the generation of Floquet-Bloch modes and verify the model by direct numerical simulations of the tunneling effect.

Original language	English
Pages (from-to)	325-327
Number of pages	3
Journal	Optics Letters
Volume	32
Issue number	4
DOIs	https://doi.org/10.1364/OL.32.000325
Publication status	Published - 15 Feb 2007

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title = "Resonant Zener tunneling in two-dimensional periodic photonic lattices",

abstract = "We study Zener tunneling in two-dimensional photonic lattices and derive, for the case of hexagonal symmetry, the generalized Landau-Zener-Majorana model describing resonant interaction between high-symmetry points of the photonic spectral bands. We demonstrate that this effect can be employed for the generation of Floquet-Bloch modes and verify the model by direct numerical simulations of the tunneling effect.",

author = "Desyatnikov, {Anton S.} and Kivshar, {Yuri S.} and Shchesnovich, {Valery S.} and Cavalcanti, {Solange B.} and Hickmann, {Jandir M.}",

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AU - Desyatnikov, Anton S.

AU - Kivshar, Yuri S.

AU - Shchesnovich, Valery S.

AU - Cavalcanti, Solange B.

AU - Hickmann, Jandir M.

PY - 2007/2/15

Y1 - 2007/2/15

N2 - We study Zener tunneling in two-dimensional photonic lattices and derive, for the case of hexagonal symmetry, the generalized Landau-Zener-Majorana model describing resonant interaction between high-symmetry points of the photonic spectral bands. We demonstrate that this effect can be employed for the generation of Floquet-Bloch modes and verify the model by direct numerical simulations of the tunneling effect.

AB - We study Zener tunneling in two-dimensional photonic lattices and derive, for the case of hexagonal symmetry, the generalized Landau-Zener-Majorana model describing resonant interaction between high-symmetry points of the photonic spectral bands. We demonstrate that this effect can be employed for the generation of Floquet-Bloch modes and verify the model by direct numerical simulations of the tunneling effect.

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U2 - 10.1364/OL.32.000325

DO - 10.1364/OL.32.000325

M3 - Article

SN - 0146-9592

VL - 32

SP - 325

EP - 327

JO - Optics Letters

JF - Optics Letters

IS - 4

ER -

Resonant Zener tunneling in two-dimensional periodic photonic lattices

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