Transverse Patterns in Nonlinear Optical Resonators

Abstract

This book is devoted to the formation and dynamics of localized structures (vortices, solitons) and of extended patterns (stripes, hexagons, tilted waves) in nonlinear optical resonators such as lasers, optical parametric oscillators, and photorefractive oscillators. Theoretical analysis is performed by deriving order parameter equations, and also through numerical integration of microscopic models of the systems under investigation. Experimental observations, and possible technological implementations of transverse optical patterns are also discussed. A comparison with patterns found in other nonlinear systems, i.e. chemical, biological, and hydrodynamical systems, is given.

Dissipative solitons

“…On the other hand, 'uphill diffusion' naturally occurs in optical systems, for example when considering resonators or cavities with detuning with respect to the resonance frequency [435,436]. Other examples from the field of optics can be found in [251,[437][438][439]. SH equations have also been proposed to describe oscillons in vibrated granular media [434], the dynamics of flames [440] and electro convection [433].…”

“…In this way we choose the point of view of DSs developed in Section 1. For more details and further reading we refer to various review articles and books that each have their value in certain subareas [241,243,245,246,[249][250][251][252][253][254]. Insight into recent activities in the field of LSs and DSs in optical systems can be obtained from [255].…”

Exploring the effect of fractional degeneracy and the emergence of ray-wave duality in solid-state lasers with off-axis pumping

“…Although the laser pattems in broad aperture lasers have been actively investigated for a long time, nearly all studies were mainly restricted to the single-longitudinal mode limit [33][34][35][36]. One special case is that the longitudinal-transverse mode degeneracy in the confocal cavity has been used as a trick to mimic the single-longitudinal mode situation to observe the transverse pattems and solitons experimentally [37,38].…”

Localized Structures in Broad Area VCSELs: Experiments and Delay-Induced Motion

“…In particular, LSs could be used as bits for information storage and processing. Several overviews have been published on this active area of research [31,9,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48].…”