Colloquium

Laser Solitons in 1D, 2D and 3D

¹ Vavilov State Optical Institute, 199034 St. Petersburg, Russia
² ITMO University, 197101 St. Petersburg, Russia
³ Ioffe Institute, 194021 St. Petersburg, Russia

^a e-mail: nnrosanov@mail.ru
^b e-mail: sfedorov2006@bk.ru

Received: 4 February 2019
Revised: 16 April 2019
Published online: 4 July 2019

Abstract

We review research of spatial and spatiotemporal dissipative solitons and their complexes in laser with saturable absorption, beginning from geometrically one-dimensional (1D) and turning to two-dimensional (2D) and then to three-dimensional (3D) ones. We demonstrate evolution of features, including topological ones, with their enrichment, of the laser localized structures with increase of the scheme’s geometrical dimensionality.