Criteria for the experimental observation of multidimensional optical solitons in saturable media

Chen, Yifan; Beckwitt, Kale; Wise, Frank W.; Malomed, Boris A.

doi:10.1103/physreve.70.046610

Cited by 41 publications

(29 citation statements)

References 52 publications

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“…However, development of the instability does not destroy the solitons, but rather transforms them into persistent breathers, as shown in Figs. [8][9][10][11]. This outcome of the nonlinear evolution is observed despite the fact that the instability growth rate for small perturbations is always real, while the transition to breathers would be more straightforward in the case of an oscillatory instability, accounted for by pairs of complex conjugate eigenvalues.…”

Section: Stability Of the Spatial Solitonsmentioning

confidence: 80%

“…Nevertheless, according to analysis reported in Ref. [11], effects of the loss may be neglected in physically relevant settings, as experiments in optical crystals are conducted over sufficiently short propagation distances (a few centimeters) [1,3]. It is also relevant to mention that the CQ nonlinearity was predicted [12] and recently observed [13] in composite optical media (colloids).…”

Section: Introduction and The Modelmentioning

confidence: 99%

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Families of spatial solitons in a two-channel waveguide with the cubic-quintic nonlinearity

Birnbaum

Malomed

2008

Physica D: Nonlinear Phenomena

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We present eight types of spatial optical solitons which are possible in a model of a planar waveguide that includes a dual-channel trapping structure and competing (cubic-quintic) nonlinearity. Among the families of trapped beams are symmetric and antisymmetric solitons of "broad" and "narrow" types, composite states, built as combinations of broad and narrow beams with identical or opposite signs ("unipolar" and "bipolar" states, respectively), and "single-sided" broad and narrow beams trapped, essentially, in a single channel. The stability of the families is investigated via eigenvalues of small perturbations, and is verified in direct simulations. Three species -narrow symmetric, broad antisymmetric, and unipolar composite states -are unstable to perturbations with real eigenvalues, while the other five families are stable. The unstable states do not decay, but, instead, spontaneously transform themselves into persistent breathers, which, in some cases, demonstrate dynamical symmetry breaking and chaotic internal oscillations. A noteworthy feature is a stability exchange between the broad and narrow antisymmetric states: in the limit when the two channels merge into one, the former species becomes stable, while the latter one loses its stability. Different branches of the stationary states are linked by four bifurcations, which take different forms in the model with the strong and weak inter-channel coupling.

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Section: Stability Of the Spatial Solitonsmentioning

confidence: 80%

Section: Introduction and The Modelmentioning

confidence: 99%

Families of spatial solitons in a two-channel waveguide with the cubic-quintic nonlinearity

Birnbaum

Malomed

2008

Physica D: Nonlinear Phenomena

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“…Note that the last term in (10), which accounts for the interaction between the beams trapped in the two channels, was calculated by means of a general method elaborated in Ref. [22] (see also section 2.3 in review [18]).…”

Section: Analytical Approximationmentioning

confidence: 99%

All-optical switching in a two-channel waveguide with cubic–quintic nonlinearity

Driben

Malomed

Chu

2006

J. Phys. B: At. Mol. Opt. Phys.

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We consider dynamics of spatial beams in a dual-channel waveguide with competing cubic and quintic (CQ) nonlinearities. Gradually increasing the power in the input channel, we identify four different regimes of the pulse's coupling into the cross channel, which alternate three times between full pass and full stop, thus suggesting three realizations of switching between the channels. As in the case of the Kerr (solely cubic) nonlinearity, the first two regimes are the linear one, and one dominated by the self-focusing nonlinearity, with the beam which, respectively, periodically couples between the channels, or stays in the input channel. Further increase of the power reveals two novel transmission regimes, one characterized by balance between the competing nonlinearities, which again allows full coupling between the channels, and a final regime dominated by the selfdefocusing quintic nonlinearity. In the latter case, the situation resembles that known for a selfrepulsive Bose-Einstein condensate trapped in a double-well potential, which is characterized by strong symmetry breaking; accordingly, the beam again abides in the input channel, contrary to an intuitive expectation that the self-defocusing nonlinearity would push it into the cross channel. The numerical results are qualitatively explained by a simple analytical model based on the variational approximation.

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“…However, solitons carry a limited, well-defined energy content, what makes them not robust against nonlinear losses (energy dissipation) that inevitably occur from extremely high intensities and destroy the precise nonlinear balance of the self-acting wave. Therefore no stable multidimensional soliton in any real physical system has been experimentally demonstrated up to now [6].…”

Section: Historical Overviewmentioning

confidence: 99%

Nonlinear localization of light

Dubietis¹

2006

Lithuanian J. Phys.

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We briefly overview historical, fundamental, and practical aspects of light wave propagation, where strong multidimensional localization and precise control of ultrashort signals is demanded. The main topic is focused on the state of art of recently discovered nonlinear conical waves, or so-called X-shaped light bullets, which have been demonstrated to appear spontaneously in many different, frequently encountered operating regimes in transparent gaseous, liquid, and solid media. Owing to unique features of white-light frequency spectrum, strong localization, deep-field stationarity, and hot-spot regeneration property, nonlinear conical waves have great potential in all applications requiring energy transfer to matter over very limited transverse areas in thick media, which thus suffer the short focal depth of conventional laser beams. Practical applications that cover many different areas ranging from nano-science to high-field physics are discussed.

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Criteria for the experimental observation of multidimensional optical solitons in saturable media

Cited by 41 publications

References 52 publications

Families of spatial solitons in a two-channel waveguide with the cubic-quintic nonlinearity

Families of spatial solitons in a two-channel waveguide with the cubic-quintic nonlinearity

All-optical switching in a two-channel waveguide with cubic–quintic nonlinearity

Nonlinear localization of light

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