Formation of a novel hybrid-vector spatial plasmon-soliton in a Kerr slab embedded in-between metal plates is predicted and analyzed with a modified NLSE, encompassing hybrid vector field characteristics Assisted by the transverse plasmonic effect, the self trapping dimension of the plasmon-soliton was substantially compressed (compared to the dielectrically cladded slab case) when reducing the slab width The practical limitation of the Plasmon-soliton size reduction is determined by available nonlinear materials and metal loss For the extreme reported values of nonlinear index change, we predict soliton with a cross section of 300nm x 30nm (average dimension of 100nm)

Plasmon-Soliton

In this paper, the exact analytical Laguerre–Gaussian (LG) solutions are derived in strongly nonlocal nonlinear media in a cylindrical coordinate system. The comparisons of analytical solutions with numerical simulations of the nonlocal nonlinear Schrodinger equation (NNLSE) show that the analytical LG solutions are in good agreement with the numerical simulations in the case of strong nonlocality. The Gaussian breather and the Gaussian soliton, ring vortex breathers and solitons, necklace-type breathers and solitons can be obtained by treating them as special cases of LG breathers and LG solitons. The area of the dark region across the LG vortex ring breathers and vortex ring solitons can easily be controlled by proper choice of the beam parameters.

http://iopscience.iop.org/article/10.1088/1464-4258/10/3/035101/pdf

Propagation of Laguerre?Gaussian beams in nonlocal nonlinear media

Based on the Snyder-Mitchell model in the Cartesian coordinate system, exact analytical Hermite-Gaussian (HG) solutions are obtained in strongly nonlocal nonlinear media. The comparisons of analytical solutions with numerical simulations of the nonlocal nonlinear Schrodinger equation show that the analytical HG solutions are in good agreement with the numerical simulations in the case of strong nonlocality. Furthermore, we demonstrate that HG functions can be expressed as a linear superposition of individual Gaussian functions with a π phase difference under the appropriate conditions.

Hermite-Gaussian breathers and solitons in strongly nonlocal nonlinear media

Scalar and vector nonlinear nonparaxial evolution equations are developed for propagation in two-dimensions Using standard soliton scalings, it is found that nonparaxial propagation is accompanied by higher-order linear and nonlinear terms and an effective quintic nonlinear index The presence of an intrinsic quintic nonlinearity arising from χ(5) must also be considered at the order of the analysis These terms represent corrections to the well-known nonlinear Schrodinger equation Exact and approximate solutions to these higher-order evolution equations are obtained and are shown to exhibit quasi-soliton behavior based on propagation and collision studies

Nonparaxial one-dimensional spatial solitons.

A general dark-soliton solution of the Helmholtz equation (with defocusing Kerr nonlinearity) that has on- and off-axis, gray and black, paraxial and Helmholtz solitons as particular solutions, is reported. Modifications to soliton transverse velocity, width, phase period, and existence conditions are derived and explained in geometrical terms. Simulations verify analytical predictions and also demonstrate spontaneous formation of Helmholtz solitons and transparency of their interactions.

Helmholtz dark solitons.

We analyze the effects of additional terms in the nonlinear Schrodinger equation for spatial solitons, directly derived from the Maxwell’s equations with the Kerr nonlinearity, on the shapes of bright and dark solitons with a fixed polarization. Combining analytical and numerical methods, we find that the additional terms always render the solitons broader. The most essential result is a fundamental limitation on the width of the subwavelength soliton: The ratio of the FWHM of the bright soliton to the wavelength cannot be smaller than 1/2, and the same ratio for the FWHM of the dark soliton cannot be smaller than 1/4.

Yuval Isbi

Papers

Subwavelength spatial solitons

Sub-wavelength non-local spatial solitons

On the existence of subwavelength spatial solitons

Sub-wavelength optical recording on chalcogenide glassy film

Enhanced χ(3) in γ-ray irradiated bulk glass