Light evolution in arbitrary two-dimensional waveguide arrays

Alexander Szameit, Thomas Pertsch, Felix Dreisow, Stefan Nolte, Andreas Tünnermann, Ulf Peschel, and Falk Lederer

Phys. Rev. A 75, 053814 – Published 17 May 2007; Erratum Phys. Rev. A 76, 029901 (2007)

Abstract

We introduce an analytical formula for the dynamics of light propagation in a two-dimensional waveguide lattice including diagonal coupling. A superposition of infinite arrays created by imaginary sources is used to derive an expression for boundary reflections. It is shown analytically that for large propagation distances the propagating field reaches uniformity. Furthermore, periodic field recovery is studied and discrete anomalous refraction and diffraction are investigated in arbitrary two-dimensional lattices.

1 More

Received 6 February 2007

DOI:https://doi.org/10.1103/PhysRevA.75.053814

Erratum

Erratum: Light evolution in arbitrary two-dimensional waveguide arrays [Phys. Rev. A 75, 053814 (2007)]

Alexander Szameit, Thomas Pertsch, Felix Dreisow, Stefan Nolte, Andreas Tünnermann, Ulf Peschel, and Falk Lederer

Phys. Rev. A 76, 029901 (2007)

Authors & Affiliations

Alexander Szameit^*, Thomas Pertsch, Felix Dreisow, Stefan Nolte, and Andreas Tünnermann^†

Institute of Applied Physics, Friedrich-Schiller-University Jena, Max-Wien-Platz 1, 07743 Jena, Germany

Ulf Peschel

Institute of Optics, Information and Photonics, Friedrich-Alexander-University Erlangen-Nuremberg, G.-Scharowsky-Strasse 1, 91058 Erlangen, Germany

Falk Lederer

Institute for Condensed Matter Theory and Optics, Friedrich-Schiller-University Jena, Max-Wien-Platz 1, 07743 Jena, Germany

^*Electronic address: szameit@iap.uni-jena.de
^†Also at Fraunhofer Institute for Applied Optics and Precision Engineering, Albert-Einstein-Strasse 7, 07745 Jena, Germany.

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand

Issue

Vol. 75, Iss. 5 — May 2007

Reuse & Permissions

Access Options

Author publication services for translation and copyediting assistance advertisement

Physical Review A

covering atomic, molecular, and optical physics and quantum information