Anomalous Bloch oscillations in arrays of coupled waveguides


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Abstract

Anomalous Bloch oscillations in arrays of coupled waveguides have been investigated using two different approaches: multiple scattering formalism and coupled-mode model. Both approaches are shown to yield identical results. Formulas for the parameters of the coupled-mode model are derived. An analytical expression for the optical beam path is obtained, and the condition for the existence of anomalous Bloch oscillations is found.

About the authors

M. I. Gozman

National Research Centre “Kurchatov Institute”

Author for correspondence.
Email: gozmanmi@gmail.com
Russian Federation, pl. Akademika Kurchatova 1, Moscow, 123182

I. Ya. Polishchuk

National Research Centre “Kurchatov Institute”; Moscow Institute of Physics and Technology (State University)

Email: gozmanmi@gmail.com
Russian Federation, pl. Akademika Kurchatova 1, Moscow, 123182; Institutskiy per. 9, Dolgoprudny, Moscow oblast, 141700

Yu. I. Polishchuk

National Research Centre “Kurchatov Institute”

Email: gozmanmi@gmail.com
Russian Federation, pl. Akademika Kurchatova 1, Moscow, 123182

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