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INVITED PAPER Spatial solitons in Kerr and Kerr-like media

Spatial solitons in Kerr and Kerr-like media
N . N . A K H M E D I E V
Optical Sciences Centre, The Australian National University,
Canberra 0200 ACT, Australia
This is a review paper of basic knowledge and recent advances in the area of spatial
solitons in Kerr and Kerr-like media. We consider spatial bright and dark solitons, sol-
itons in waveguide geometries, optical bullets, vortex solitons and, brieŻy, dissipative
cases. In our treatment, we use a Hamiltonian approach when considering stability
1. Introduction
In recent years, the scienti®c study of solitons has made major steps forward. Various
books [1±5] and review papers [6±9] have been written, both on the theory of solitons and
their experimental observation. We can now classify solitons into temporal solitons in
optical ®bres [3], magnetic solitons [10], photorefractive spatial solitons [11] and spatial
solitons in general. The latter have been introduced by Askar'yan [12] and Chiao et al. [13]
more than thirty years ago. In a short review, we cannot cover all existing knowledge
today. Here, we will only consider recent progress on spatial solitons. Even in this case, we
leave aside photorefractive and cascading solitons, as they will be covered in two other
reviews in this issue. The inherent importance of solitons in real life comes from the fact


Source: Akhmediev, Nail - Research School of Physical Sciences and Engineering, Australian National University
Australian National University, Research School of Physical Sciences and Engineering, Optical Sciences Group


Collections: Engineering; Physics