Approximate model of soliton dynamics in all-optical couplers

Paré, Claude; Florjanczyk, Miroslaw

doi:10.1103/physreva.41.6287

Cited by 185 publications

(129 citation statements)

References 34 publications

Supporting

Mentioning

123

Contrasting

Order By: Relevance

“…where is the averaged Lagrangian [19][20][21][22][23][24]. L Powerful applications of this have been made to conservative systems [21][22][23][24] that are free of absorption and gain but, even if there is simple linear gain, a transformation can be made that reduces the problem once again to the familiar form used for conservative systems.…”

Section: Lagrangian Analysismentioning

confidence: 99%

“…L Powerful applications of this have been made to conservative systems [21][22][23][24] that are free of absorption and gain but, even if there is simple linear gain, a transformation can be made that reduces the problem once again to the familiar form used for conservative systems. It is necessary, therefore, to extend the reasoning behind the application of the Whitham average Lagrangian procedure, in order to make it applicable, in principle, to the complex Ginzburg-Landau cubic-quintic dissipative models.…”

Section: Lagrangian Analysismentioning

confidence: 99%

See 1 more Smart Citation

Gyroelectric cubic-quintic dissipative solitons

Boardman¹,

Velasco²

2006

IEEE J. Select. Topics Quantum Electron.

View full text Add to dashboard Cite

The influence of an externally applied magnetic field upon classic cubic quintic dissipative solitons is investigated using both exact simulations and a Lagrangian technique. The basic approach is to use a spatially inhomogeneous magnetic field and to consider two important geometries, namely the Voigt and the Faraday effects. A layered structure is selected for the Voigt case with the principal aim being to demonstrate non-reciprocal behaviour for various classes of spatial solitons that are known to exist as solutions of the complex Ginzburg-Landau cubic-quintic envelope equation under dissipative conditions. The system is viewed as dynamical and an opportunity is taken to display the behaviour patterns of the spatial solitons in terms of two-dimensional dynamical plots involving the total energy and the peak amplitude of the spatial solitons. This action this leads to limit cycle plots that beautifully reveal the behaviour of the solitons solutions at all points along the propagation axis. The closed contour that exists in the absence of a magnetic field is opened up and a limit point is exposed. The onset of chaos is revealed in a dramatic way and it is clear that detailed control by the external magnetic field can be exercised. The Lagrangian approach is adjusted to deal with dissipative systems and through the choice of particular trial functions, aspects of the dynamic behaviour of the spatial are predicted by this approach. Finally, some vortex dynamics in the Faraday configuration are investigated.

show abstract

Section: Lagrangian Analysismentioning

confidence: 99%

Section: Lagrangian Analysismentioning

confidence: 99%

Gyroelectric cubic-quintic dissipative solitons

Boardman¹,

Velasco²

2006

IEEE J. Select. Topics Quantum Electron.

View full text Add to dashboard Cite

show abstract

“…In addition to the numerical results, in Section III we report results of a simple analytical approximation that provide for a qualitative explanation of the switchings in the present model. The analytical approach is based on a variational approximation, similar to that developed earlier in detail for temporal signals (solitons) in dual-core fibers [15,16,17] (see also Chapter 6 of review [18]). …”

mentioning

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.

View full text Add to dashboard Cite

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.

show abstract

“…Another interesting topic of research with practical importance is the propagation of solitons in coupled parallel chains [13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Soliton dynamics in two coupled ferromagnetic chains

Varbev

Primatarowa

Kamburova

2017

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

Abstract. The soliton dynamics in a system of two ferromagnetic chains coupled through the interaction between opposite spins is studied. The on-site anisotropy in the chains is also taken into account. The conditions for the existence of different soliton solutions (bright or dark) in the chains are obtained. The system is reduced to a coupled set of discrete equations with complicated coupling interactions which are linear and nonlinear. We investigate the propagation of a soliton excitation launched in one of the chains with a given velocity. The condition for a perfect switch of the soliton is analysed. Numerical simulations have been performed for a variety of the magnetic parameters and the soliton characteristics.

show abstract

Approximate model of soliton dynamics in all-optical couplers

Cited by 185 publications

References 34 publications

Gyroelectric cubic-quintic dissipative solitons

Gyroelectric cubic-quintic dissipative solitons

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

Soliton dynamics in two coupled ferromagnetic chains

Contact Info

Product

Resources

About