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Full-Text Articles in Physical Sciences and Mathematics
Self-Trapping Of Optical Vortices In Waveguide Lattices With A Self-Defocusing Nonlinearity, Dh Song, Cb Lou, Lq Tang, Xs Wang, W Li, Xy Chen, Kjh Law, H Susanto, Pg Kevrekidis, Jj Xu, Zg Chen
Self-Trapping Of Optical Vortices In Waveguide Lattices With A Self-Defocusing Nonlinearity, Dh Song, Cb Lou, Lq Tang, Xs Wang, W Li, Xy Chen, Kjh Law, H Susanto, Pg Kevrekidis, Jj Xu, Zg Chen
Panos Kevrekidis
We demonstrate the self-trapping of single- and double-charged optical vortices in waveguide lattices induced with a self-defocusing nonlinearity. Under appropriate conditions, a donut-shaped single-charged vortex evolves into a stable discrete gap vortex soliton, but a double-charged vortex turns into a self-trapped quadrupole-like structure. Spectrum measurement and numerical analysis suggest that the gap vortex soliton does not bifurcate from the edge of the Bloch band, quite different from previously observed gap spatial solitons. Our numerical findings are in good agreement with experimental observations.
Disk-Shaped Bose-Einstein Condensates In The Presence Of An Harmonic Trap And An Optical Lattice, T Kapitula, Pg Kevrekidis, Dj Frantzeskakis
Disk-Shaped Bose-Einstein Condensates In The Presence Of An Harmonic Trap And An Optical Lattice, T Kapitula, Pg Kevrekidis, Dj Frantzeskakis
Panos Kevrekidis
We study the existence and stability of solutions of the two-dimensional nonlinear Schrödinger equation in the combined presence of a parabolic and a periodic potential. The motivating physical example consists of Bose–Einstein condensates confined in an harmonic (e.g., magnetic) trap and an optical lattice. By connecting the nonlinear problem with the underlying linear spectrum, we examine the bifurcation of nonlinear modes out of the linear ones for both focusing and defocusing nonlinearities. In particular, we find real-valued solutions (such as multipoles) and complex-valued ones (such as vortices). A primary motivation of the present work is to develop “rules of thumb” …
Plane Waves And Localized Modes In Quadratic Waveguide Arrays, H Susanto, Rl Horne, N Whitaker, Pg Kevrekidis
Plane Waves And Localized Modes In Quadratic Waveguide Arrays, H Susanto, Rl Horne, N Whitaker, Pg Kevrekidis
Panos Kevrekidis
In this paper, we examine theoretically the system of periodically poled LiNbO3 waveguide arrays that feature a quadratic nonlinearity and that have recently become accessible to experimental studies. Motivated by these earlier works, we provide a detailed analytical study of the existence, stability, and dynamics of plane wave delocalized solutions, as well as that of strongly localized modes consisting of a few sites. The linear stability of both classes of solutions is quantified as a function of the system parameters, such as the wave vector mismatch parameter or the interchannel coupling strength, using experimentally accessible ranges. Our findings are, in …