Author
Yuval Isbi
Bio: Yuval Isbi is an academic researcher from Hebrew University of Jerusalem. The author has contributed to research in topics: Soliton (optics) & Space charge. The author has an hindex of 4, co-authored 7 publications receiving 84 citations.
Papers
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TL;DR: 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 dark soliton cannot be bigger than1/4.
Abstract: 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.
25 citations
TL;DR: In this article, it was shown that the width of a bright TM soliton in a medium with a self-focusing non-local Kerr effect cannot be smaller than ≈ λ /2.
21 citations
TL;DR: In this article, the existence and stability of very narrow subwavelength bright and dark TE-polarized spatial solitons in an ideal Kerr medium, using the full Maxwell's equations, rather than the usual NLS approximation, was analyzed.
16 citations
TL;DR: In this article, photo-induced changes in the transmission (photo-darkening) of AsSe chalcogenide glassy films, using cw as well as pulsed green light, were investigated.
16 citations
TL;DR: In this article, the nonlinear coefficient χ (3) ( ω, ω, 0,2 ω ) of light-flint silicate bulk glass (Schott glass LF5) was measured.
3 citations
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17 May 2006
TL;DR: In this article, a 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.
Abstract: 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)
120 citations
TL;DR: In this article, the exact analytical Laguerre-Gaussian (LG) solutions are derived in strongly nonlocal nonlinear media in a cylindrical coordinate system, and the comparisons of analytical solutions with numerical simulations of the non-local non-linear Schrodinger equation (NNLSE) show that the analytical LG solutions are in good agreement with the numerical simulations in the case of strong nonlocality.
Abstract: 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.
83 citations
TL;DR: In this paper, exact analytical Hermite-Gaussian (HG) solutions are obtained in strongly nonlocal nonlinear media based on the Snyder-Mitchell model in the Cartesian coordinate system, and the comparisons of analytical solutions with numerical simulations of the non-local non-linear Schrodinger equation show that the analytical HG solutions are in good agreement with the numerical simulations in the case of strong nonlocality.
Abstract: 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.
78 citations
TL;DR: Exact and approximate solutions to higher-order evolution equations developed for propagation in two-dimensions are obtained and are shown to exhibit quasi-soliton behavior based on propagation and collision studies.
Abstract: 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
45 citations
TL;DR: A general dark-soliton solution of the Helmholtz equation that has on- and off-axis, gray and black, paraxial and Helmholz solitons as particular solutions, is reported.
Abstract: 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.
43 citations