Abstract
Full text: We investigate the formation of stable spatiotemporal three-dimensional (3D) solitons ('light bullets') with internal vorticity ('spin') in a bimodal system described by coupled cubic-quintic nonlinear Schroedinger equations. Two relevant versions of the model, for the linear and circular polarizations, are analyzed in detail. In the former case, an important ingredient of the model are the four-wave-mixing terms, which give rise to a phase-sensitive nonlinear coupling between the two polarization components. Thresholds for the formation of both spinning and non spinning 3D solitons are found. Instability growth rates of perturbation eigenmodes with different azimuthal indices are calculated as functions of the solitons' propagation constant. As a result, stability domains in the model's parameter plane are identified for solitons with the values of the spin of their components s = 0 and s = 1, while all the solitons with s {>=} 2 are unstable. The solitons with s = 1 are stable only if their energy exceeds a certain critical value, so that, in typical cases, their stability region occupies {approx_equal} 25% of their existence domain. Direct simulations of the full nonlinear system produce results which are in perfect agreement with the linear-stability analysis: stable 3D spinning solitons readily
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Mihalache, D;
[1]
Institute of Solid State Theory and Theoretical Optics, Friedrich Schiller University Jena, Max-Wien-Platz 1, Jena, D-07743 (Germany)];
Mazilu, D;
[1]
Towers, I;
Malomed, B A;
[2]
Lederer, F
[3]
- Department of Theoretical Physics, Horia Hulubei National Institute for Physics and Nuclear Engineering, PO Box MG-6, RO-077125 Magurele-Bucharest (Romania)
- Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978 (Israel)
- Institute of Solid State Theory and Theoretical Optics, Friedrich Schiller University Jena, Max-Wien-Platz 1, Jena, D-07743 (Germany)
Citation Formats
Mihalache, D, Institute of Solid State Theory and Theoretical Optics, Friedrich Schiller University Jena, Max-Wien-Platz 1, Jena, D-07743 (Germany)], Mazilu, D, Towers, I, Malomed, B A, and Lederer, F.
Stable spatiotemporal spinning solitons in a bimodal cubic-quintic medium.
Romania: N. p.,
2005.
Web.
Mihalache, D, Institute of Solid State Theory and Theoretical Optics, Friedrich Schiller University Jena, Max-Wien-Platz 1, Jena, D-07743 (Germany)], Mazilu, D, Towers, I, Malomed, B A, & Lederer, F.
Stable spatiotemporal spinning solitons in a bimodal cubic-quintic medium.
Romania.
Mihalache, D, Institute of Solid State Theory and Theoretical Optics, Friedrich Schiller University Jena, Max-Wien-Platz 1, Jena, D-07743 (Germany)], Mazilu, D, Towers, I, Malomed, B A, and Lederer, F.
2005.
"Stable spatiotemporal spinning solitons in a bimodal cubic-quintic medium."
Romania.
@misc{etde_20754794,
title = {Stable spatiotemporal spinning solitons in a bimodal cubic-quintic medium}
author = {Mihalache, D, Institute of Solid State Theory and Theoretical Optics, Friedrich Schiller University Jena, Max-Wien-Platz 1, Jena, D-07743 (Germany)], Mazilu, D, Towers, I, Malomed, B A, and Lederer, F}
abstractNote = {Full text: We investigate the formation of stable spatiotemporal three-dimensional (3D) solitons ('light bullets') with internal vorticity ('spin') in a bimodal system described by coupled cubic-quintic nonlinear Schroedinger equations. Two relevant versions of the model, for the linear and circular polarizations, are analyzed in detail. In the former case, an important ingredient of the model are the four-wave-mixing terms, which give rise to a phase-sensitive nonlinear coupling between the two polarization components. Thresholds for the formation of both spinning and non spinning 3D solitons are found. Instability growth rates of perturbation eigenmodes with different azimuthal indices are calculated as functions of the solitons' propagation constant. As a result, stability domains in the model's parameter plane are identified for solitons with the values of the spin of their components s = 0 and s = 1, while all the solitons with s {>=} 2 are unstable. The solitons with s = 1 are stable only if their energy exceeds a certain critical value, so that, in typical cases, their stability region occupies {approx_equal} 25% of their existence domain. Direct simulations of the full nonlinear system produce results which are in perfect agreement with the linear-stability analysis: stable 3D spinning solitons readily self-trap from Gaussian initial pulses with embedded vorticity, and easily restore themselves after strong perturbations are imposed, while unstable spinning solitons split into a set of separating zero spin fragments whose number is exactly equal to the azimuthal index of the strongest unstable perturbation eigenmode. (author)}
place = {Romania}
year = {2005}
month = {Jul}
}
title = {Stable spatiotemporal spinning solitons in a bimodal cubic-quintic medium}
author = {Mihalache, D, Institute of Solid State Theory and Theoretical Optics, Friedrich Schiller University Jena, Max-Wien-Platz 1, Jena, D-07743 (Germany)], Mazilu, D, Towers, I, Malomed, B A, and Lederer, F}
abstractNote = {Full text: We investigate the formation of stable spatiotemporal three-dimensional (3D) solitons ('light bullets') with internal vorticity ('spin') in a bimodal system described by coupled cubic-quintic nonlinear Schroedinger equations. Two relevant versions of the model, for the linear and circular polarizations, are analyzed in detail. In the former case, an important ingredient of the model are the four-wave-mixing terms, which give rise to a phase-sensitive nonlinear coupling between the two polarization components. Thresholds for the formation of both spinning and non spinning 3D solitons are found. Instability growth rates of perturbation eigenmodes with different azimuthal indices are calculated as functions of the solitons' propagation constant. As a result, stability domains in the model's parameter plane are identified for solitons with the values of the spin of their components s = 0 and s = 1, while all the solitons with s {>=} 2 are unstable. The solitons with s = 1 are stable only if their energy exceeds a certain critical value, so that, in typical cases, their stability region occupies {approx_equal} 25% of their existence domain. Direct simulations of the full nonlinear system produce results which are in perfect agreement with the linear-stability analysis: stable 3D spinning solitons readily self-trap from Gaussian initial pulses with embedded vorticity, and easily restore themselves after strong perturbations are imposed, while unstable spinning solitons split into a set of separating zero spin fragments whose number is exactly equal to the azimuthal index of the strongest unstable perturbation eigenmode. (author)}
place = {Romania}
year = {2005}
month = {Jul}
}