Breathing solitary-pulse pairs in a linearly coupled system

Dana, Brenda; Malomed, Boris A.; Bahabad, Alon

doi:10.1364/ol.39.002175

Cited by 7 publications

(10 citation statements)

References 24 publications

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“…(7) and (8) are invariant with respect to transformation(w, u,z) -*■ (ii = v*,v = u*,z = -z ) , which, in the present context, may be considered as corresponding to the CVT symmetry, with the reversal of z playing the role of additional T. It is relevant too to compare the present model to the system of equations with opposite GVD terms, coupled by the usual conservative terms, rather than by those representing the gain and loss [41]:…”

Section: A the System: Phenomenological Formulationmentioning

confidence: 99%

“…Refs. [39][40][41], where a similar feature was introduced in different contexts, and also Refs. [42][43][44], where systems with opposite signs of group velocities were considered in the contexts of coupled rightand left-handed waveguides), and a phase-velocity mismatch 2q between them.…”

Section: A the System: Phenomenological Formulationmentioning

confidence: 99%

“…This result is drastically different from that obtained for broad pulses in the linear version of Eq. (9) with the conservative coupling [41]. The latter system gives rise to an effective equation for a slowly varying function in the form of a single linear Schrodinger equation with the GVD term periodically (in z) changing its sign, thus generating robust oscillating Gaussian pulses, rather than expanding ones (23).…”

Section: The Analytical Approximation For Broad Pulsesmentioning

confidence: 99%

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CPsymmetry in optical systems

2015

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We introduce a model of a dual-core optical waveguide with opposite signs of the group-velocity dispersion in the two cores, and a phase-velocity mismatch between them. The coupler is embedded into an active host medium, which provides for the linear coupling of a gain-loss type between the two cores. The same system can be derived, without phenomenological assumptions, by considering the three-wave propagation in a medium with the quadratic nonlinearity, provided that the depletion of the second-harmonic pump is negligible. This linear system offers an optical realization of the charge-parity symmetry, while the addition of the intracore cubic nonlinearity breaks the symmetry. By means of direct simulations and analytical approximations, it is demonstrated that the linear system generates expanding Gaussian states, while the nonlinear one gives rise to broad oscillating solitons, as well as a general family of stable stationary gap solitons.

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Section: A the System: Phenomenological Formulationmentioning

confidence: 99%

Section: A the System: Phenomenological Formulationmentioning

confidence: 99%

Section: The Analytical Approximation For Broad Pulsesmentioning

confidence: 99%

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CPsymmetry in optical systems

2015

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“…Optical switching is one of the essential integrated parts of the system, and the switching using optical solitons, which overcome the dispersion-limited operations owing to their particle-like behavior in nonlinear directional couplers (NLDC), is the active topic of research in the recent years [1][2][3][4][5][6][7]. As is well known, the function of NLDC is controlled by the input light intensity-dependent phase modulations.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation of dark soliton switching in asymmetric nonlinear fiber couplers

2015

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coupler. Due to evanescent coupling, the light pulses launched in the input of the bar channel transfer completely into the cross channel. But when the intensities of light pulses are high, the NLDC is detuned such that there is a change in their refractive index because of the nonlinear effect. At a particular critical power, light pulses would emerge from each waveguide and above the critical power, most of the energies of the light pulses would remain in the bar channel. In NLDCs, thus, the optical switching takes place between the two channels by the change in the intensities of the input light pulses.Switching dynamics of optical (bright) solitons by considering the effects of constant coupling dispersion [8,9], which causes splitting in pulses, higher-order parameters [10-12] and gain and loss [13], etc., have been extensively investigated in NLDCs by researchers after the innovative theoretical work carried out by Jensen [14]. But, in all these works, the NLDC is assumed to be symmetric in all aspects. However, in practice, symmetric fiber couplers are rarely existent. This factor may raise attention on fabricating asymmetric fiber couplers as they are easier to fabricate than the symmetric nonlinear fiber couplers. As explained in Ref. [15], the asymmetry in nonlinear directional couplers can be introduced in many ways. First, in a simple way, the asymmetric fiber couplers can be manufactured by creating a difference in the diameter of the cores. This difference in the diameter of the cores tends to produce not only the phase-velocity mismatch but also a change in the nonlinear coefficients. Second, the asymmetric nature can be obtained by distorting the shape of the cores while maintaining their cross-sectional areas equal. In such birefringent couplers, one can have the asymmetry in the form of phase-velocity mismatch without getting a change in the nonlinear coefficients. Third, to attain the asymmetry, we can use fibers having different dispersion Abstract Switching characteristics of dark soliton in asymmetric nonlinear directional couplers are numerically studied. Every individual effect, responsible for producing asymmetry in nonlinear directional coupler, has been analyzed in detail. It is found that group-velocity mismatch and the difference in group-velocity dispersions between the two cores have no impact on dark soliton, which can be specified as an advancement over the bright solitons. The effects of phase velocity, the difference in effective mode areas and the linear coupling coefficient on the dark soliton switching are also investigated.

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“…[18]. In addition to the symmetric twin-core couplers, static and dynamical modes and their stability were explored in asymmetric couplers [19,20], including those with opposite signs of the group-velocity dispersion [21,22].…”

Section: Introduction and The Modelmentioning

confidence: 99%

Multisoliton Newton's cradles and supersolitons in regular and parity-time-symmetric nonlinear couplers

Malomed

2014

Phys. Rev. E

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We demonstrate the existence of stable collective excitation in the form of "supersolitons" propagating through chains of solitons with alternating signs (i.e., Newton's cradles built of solitons) in nonlinear optical couplers, including the PT -symmetric version thereof. In the regular coupler, stable supersolitons are created in the cradles composed of both symmetric solitons and asymmetric ones with alternating polarities. Collisions between moving supersolitons are investigated too, by the means of direct simulations in both the regular and PT -symmetric couplers.

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Breathing solitary-pulse pairs in a linearly coupled system

Cited by 7 publications

References 24 publications

CPsymmetry in optical systems

CPsymmetry in optical systems

Numerical investigation of dark soliton switching in asymmetric nonlinear fiber couplers

Multisoliton Newton's cradles and supersolitons in regular and parity-time-symmetric nonlinear couplers

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