On the universality of the Discrete Nonlinear Schroedinger Equation

Details On the universality of the Discrete Nonlinear Schroedinger Equation On the universality of the Discrete Nonlinear Schroedinger Equation

2007-08-23

arxiv.org/abs/0708.3141v1

Physics

Optics

6 Pages, to appear in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.76.042108

We address the universal applicability of the discrete nonlinear Schroedinger equation. By employing an original but general top-down/bottom-up procedure based on symmetry analysis to the case of optical lattices, we derive the most widely applicable and the simplest possible model, revealing that the discrete nonlinear Schroedinger equation is ``universally'' fit to describe light propagation even in discrete tensorial nonlinear systems and in the presence of nonparaxial and vectorial effects.

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