Accessible Solitons

Abstract

Organic Geochemismealworm beetle (~enebrio molitor) that reveals the layeis of cuticle overlapping at different angles; (C try Unit, School Of University Of BristOl, Canan SEM image of afractured edge of cuticle of the specimen illustrated in (A) that shows chitinous fibers; tock's Close, Bristol BS8 ITS, UK. M, Wuttke, Landesamt fijr Denkmalpflege Rheinland-and D) an SEM image of the shale matrix that contains the fossil insects and reveals that pennate Pfalz, Referat Erdgeschichtliche Denkmalpflege, Am diatoms are the dominant constituent. (Images were made with a Cambridge Stereoscan 250 Mk3 SEM Obstmarkt 13, D-55126 Mainz, Germany.at 7 to 12 kV after specimens were coated with gold.)www.sciencemag.org SCIENCE VOL. 276 6 JUNE 1997

Modulational instability, solitons and beam propagation in spatially nonlocal nonlinear media

“…It describes the evolution of an optical beam trapped in an effective waveguide structure with the profile given by the nonlocal response function. This highly nonlocal limit was first explored by Snyder and Mitchell in the context of the "accessible solitons" [14].…”

“…(4) we illustrate the effect of the nonlocality on propagation of a vortex beam in the form of Eq. (14). We numerically integrated Eq.…”

“…Nonlocality is thus a generic feature of a large number of nonlinear systems. It has also recently become important in optics [14,15,16]. Although nonlocality can have a considerable impact on many nonlinear phenomena, studies of nonlocal nonlinear effects are still in their infancy.…”

Two-dimensional bright solitons in dipolar Bose-Einstein condensates with tilted dipoles

“…Last two decades have witnessed intensive investigations, both theoretical and experimental, on multi-dimensional solitons, especially in systems possessing nonlocal nonlinearity (NLNL) [1][2][3] such as Bose-Einstein condensates (BECs) of particles with permanent [4,5] or induced dipole moments [6] (dipolar BECs), photo refractive materials [7], nematic liquid crystals [8,9] and others [10][11][12]. Two-dimensional (2D) optical bright solitons [13] and three-dimensional (3D) light bullets [14] have been reported in non-local media.…”

Modulation analysis of boundary-induced motion of optical solitary waves in a nematic liquid crystal

“…In optics, in particular, they have received much attention due to the versatile nature of self-induced waveguides, a concept amenable to applications in applied nonlinear optics and communications, for which all-optical switching and routing could play an important role in future generations of signal processors [6][7][8][9]. In this scenario, nematicons -i.e.…”