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On Bright and Dark Breathers in Lattices with Saturable Nonlinearity

100%
Maluckov A., Stepić M., Hadžievski L.
Acta Physica Polonica A
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2007
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vol. 112
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issue 5
903-908
EN
The moving bright and dark localized modes in one-dimensional optical lattices with saturable nonlinearity are considered with respect to the grand canonical free energy concept and linear stability analysis of the eigenvalue spectra.
2
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Influence of the Goos-Hänchen Shift on Tunneling Times in Dispersive Nonlinear Media

88%
Ilić I., Beličev P., Milanović V., Radovanović J., Hadžievski L.
Acta Physica Polonica A
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2009
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vol. 116
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issue 4
638-641
EN
The Goos-Hänchen effect is an optical phenomenon defined as a displacement of the reflected beam of linearly polarized light after the total internal reflection, which occurs perpendicularly to the direction of propagation. Due to this effect, when an optical wave propagates through a barrier, tunneling times may change accordingly. In this paper, we consider the impact of the Goos-Hänchen effect on group delay and dwell time for electromagnetic wave propagating through a nonlinear dispersive slab placed inside linear dispersive surroundings. Numerical calculations are performed for the special case, namely a double negative index metamaterial embedded into a material with a saturable nonlinearity, when a background medium is vacuum. The numerical results for tunneling times are calculated when the Goos-Hänchen effect is observed. It is shown that this approach gives more accurate expressions for tunneling times when the angle of incidence has a non-zero value.
3
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Time Delay in Thin Dielectric Slabs with Saturable Nonlinearity

88%
Beličev P., Ilić I., Radovanović J., Milanović V., Hadžievski L.
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EN
Time delays for an intense transverse electric wave propagating through a slab with saturable nonlinearity are investigated. The nonlinearity is assumed in a form of the Vinetskii-Kukhtarev model, which is relevant for the slabs made of nonlinear photorefractive crystals, such as GaAs and LiNbO_3, which feature a saturable nonlinearity. The expressions for the group delay and the dwell time are derived and the relation between them is studied. It is shown that the difference between them has three different contributions. The first one corresponds to the self-interference associated with the dispersion of the medium surrounding the slab. The other two appear due to the nonlinearity of the slab and oblique incidence of the transverse electric wave. All the results are compared with the case of dielectric slabs with cubic (Kerr) nonlinearity.
4
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Modulation Instability of Two-Dimensional Dipolar Bose-Einstein Condensate in a Deep Optical Lattice

76%
Wöllert A., Gligorić G., Škorić M., Maluckov A., Raičević N., Daničić A., Hadžievski L.
Acta Physica Polonica A
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2009
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vol. 116
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issue 4
519-521
EN
We study the stability of the continuous waves in the pancake shaped dipolar Bose-Einstein condensate trapped in the strong optical lattice potential with the coexisting local (the short-range s-wave) interaction and nonlocal (the dipole-dipole) interactions between the condensate atoms. The system is modeled by two two-dimensional discrete models derived from the Gross-Pitaevskii equation accounting the dipole-dipole interactions: discrete nonlinear Schrödinger equation with cubic nonlinearity and nonpolynomial Schrödinger equation. The corresponding dispersion relations are calculated analytically and the regions of the modulation instability in the parametric space are summarized into the stability diagrams.
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