Control of dissipative solitons in a magneto-optic planar waveguide

Kochetov, Bogdan A.; Vasylieva, I. Y.; Kochetova, Lyudmila A.; Sun, Hong‐Bo; Tuz, Vladimir R.

doi:10.1364/ol.42.000531

Cited by 12 publications

(16 citation statements)

References 18 publications

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“…We can imagine a particular waveform transition as an forced displacement of a point in the phase space from a basin of attraction of given attractor to a vicinity of another attractor. Here we further elaborate the ideas of induced waveform transitions [58][59][60][61][62] in the development of controllable interaction between the plain and composite pulses that finally lead us to the implementation of all the logic gates. Below we subsequently demonstrate the most important of them.…”

Section: Logic Gatesmentioning

confidence: 99%

“…Due to the applied magnetic field the time reversal symmetry is locally broken that leads to significantly different propagation conditions of counter-propagating dissipative optical solitons whose envelops are governed by the cubic-quintic CGLE with a potential term [33,34]. Recently this robust model has successfully been used to perform a selective lateral shift within a group of stable noninteracting fundamental dissipative solitons [58], to replicate dissipative solitons and vortices [59,60], and to induce the waveform transitions between different dissipative solitons [61,62].…”

Section: Introductionmentioning

confidence: 99%

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Logic gates on stationary dissipative solitons

et al. 2019

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Stable dissipative solitons are perfect carries of optical information due to remarkable stability of their waveforms that allows the signal transmission with extremely dense soliton packing without loosing the encoded information. Apart of unaffected passing of solitons through a communication network, controllable transformations of soliton waveforms are needed to perform all-optical information processing. In this paper we employ the basic model of dissipative optical solitons in the form of the complex Ginzburg-Landau equation with a potential term to study the interactions between two stationary dissipative solitons being under the control influences and use those interactions to implement various logic gates. Particularly, we demonstrate NOT, AND, NAND, OR, NOR, XOR, and XNOR gates, where the plain (fundamental soliton) and composite pulses are used to represent the low and high logic levels.

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Section: Logic Gatesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Logic gates on stationary dissipative solitons

et al. 2019

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“…In fact, the applied spatially inhomogeneous magnetic field locally breaks the time reversal symmetry leading to significantly different propagation conditions of counter-propagating light beams in such waveguides [8,9]. Further, this control approach over soliton waveforms has been developed to perform a selective lateral shift within a group of stable noninteracting fundamental dissipative solitons [55], to replicate them [56], and to induce the waveform transitions [57].…”

Section: Introductionmentioning

confidence: 99%

Mutual transitions between stationary and moving dissipative solitons

Kochetov

2019

Physica D: Nonlinear Phenomena

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Application of stable localized dissipative solitons as basic carriers of information promises the significant progress in the development of new optical communication networks. The success development of such systems requires getting the full control over soliton waveforms. In this paper we use the fundamental model of dissipative solitons in the form of the complex Ginzburg-Landau equation with a potential term to demonstrate controllable transitions between different types of coexisted waveforms of stationary and moving dissipative solitons. Namely, we consider mutual transitions between so-called plain (fundamental soliton), composite, and moving pulses. We found necessary features of transverse spatial distributions of locally applied (along the propagation distance) attractive potentials to perform those waveform transitions. We revealed that a one-peaked symmetric potential transits the input pulses to the plain pulse, while a two-peaked symmetric (asymmetric) potential performs the transitions of the input pulses to the composite (moving) pulse.

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“…Indeed, the CGLE-based study of the influence of a spatially inhomogeneous external magnetic field upon propagation of dissipative solitons in a magneto-optic planar waveguide in the Voigt configuration has revealed significant benefits of utilizing the magnetic field to acquire different propagation conditions for the counter-propagating light beams [7,8]. Later on, this idea has been used to develop new robust control mechanisms for performing selective lateral shift within a group of stable noninteracting one-dimensional fundamental dissipative solitons [50] as well as for their replication [51] and controllable transformations of soliton waveforms [52].…”

Section: Introductionmentioning

confidence: 99%

Replication of dissipative vortices modeled by the complex Ginzburg-Landau equation

Kochetov

Tuz

2018

Phys. Rev. E

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Dissipative vortices are stable two-dimensional localized structures existing due to balance between gain and loss in nonlinear systems far from equilibrium. Being resistant to the dispersion and nonlinear distortions they are considered as promising information carriers for new optical systems.The key challenge in the development of such systems is getting control over vortex waveforms. In this paper we report on replication of two-dimensional fundamental dissipative solitons and vortices due to their scattering on a locally applied potential in the cubic-quintic complex Ginzburg-Landau equation. It has been found that an appropriate potential non-trivially splits both fundamental solitons and vortices into a few exact copies without losing in their amplitude levels. A remarkably simple potential having a finite supporter along the longitudinal coordinate and a double peaked dependence on a single transverse coordinate is found to be suitable for the replication of the twodimensional localized structures.

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Control of dissipative solitons in a magneto-optic planar waveguide

Cited by 12 publications

References 18 publications

Logic gates on stationary dissipative solitons

Logic gates on stationary dissipative solitons

Mutual transitions between stationary and moving dissipative solitons

Replication of dissipative vortices modeled by the complex Ginzburg-Landau equation

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