Scattering of linear and nonlinear waves in a waveguide array with a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi fontstyle="italic">PT</mml:mi></mml:mrow></mml:math>-symmetric defect

Dmitriev, Sergey V.; Suchkov, Sergey; Sukhorukov, Andrey A.; Kivshar, Yuri S.

doi:10.1103/physreva.84.013833

Cited by 52 publications

(54 citation statements)

References 21 publications

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“…Recently in nonlinear optics a great deal of attention has been focused on the effect of soliton interaction with the complex PT-symmetric localized potentials embedded into the self-focusing or selfdefocusing medium. In these settings the PT-symmetric gain and loss regions are spatially localized, e.g, in the form of nonlinear PT-symmetric dimers, trimers, or, more generally, oligomers embedded into nonlinear conservative lattice [59,156,162,163]. Continuum versions of such models have been analyzed in the works [164][165][166].…”

Section: Soliton Scatteringmentioning

confidence: 99%

Nonlinear switching and solitons in PT‐symmetric photonic systems

Suchkov

Sukhorukov

Huang

et al. 2016

Laser & Photonics Reviews

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263

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One of the challenges of the modern photonics is to develop all-optical devices enabling increased speed and energy efficiency for transmitting and processing information on an optical chip. It is believed that the recently suggested ParityTime (PT) symmetric photonic systems with alternating regions of gain and loss can bring novel functionalities. In such systems, losses are as important as gain and, depending on the structural parameters, gain compensates losses. Generally, PT systems demonstrate nontrivial non-conservative wave interactions and phase transitions, which can be employed for signal filtering and switching, opening new prospects for active control of light. In this review, we discuss a broad range of problems involving nonlinear PT-symmetric photonic systems with an intensitydependent refractive index. Nonlinearity in such PT symmetric systems provides a basis for many effects such as the formation of localized modes, nonlinearly-induced PT-symmetry breaking, and all-optical switching. Nonlinear PT-symmetric systems can serve as powerful building blocks for the development of novel photonic devices targeting an active light control.

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Section: Soliton Scatteringmentioning

confidence: 99%

Nonlinear switching and solitons in PT‐symmetric photonic systems

Suchkov

Sukhorukov

Huang

et al. 2016

Laser & Photonics Reviews

Self Cite

345

263

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“…This is possible in conservative systems because the translational kinetic energy of the breather can be partly converted into its internal energy and vice versa. Scattering of linear and nonlinear waves (solitons) on defects in PT -symmetric optical waveguide arrays was analyzed [24,25,[29][30][31]. It was shown that the incident highamplitude solitons (or even linear wave packets [24,25]) can excite a mode localized on the PT -symmetric defect.…”

Section: Introductionmentioning

confidence: 99%

“…These include, among others, unconventional beam refraction [13], Bragg scattering [14], symmetry-breaking transitions [4] and associated ghost states [15][16][17][18], a loss-induced optical transparency [5], conical diffraction [19], a new type of Fano resonance [20], chaos [21], nonlocal boundary effects [22], optical switches [23] and diodes [24,25], phase sensitivity of light dynamics [26][27][28], and the possibility of linear and nonlinear wave amplification and filtering [29][30][31]. Unexpected instabilities were also * saadatmand.d@gmail.com † dmitriev.sergey.v@gmail.com ‡ borisovdi@yandex.ru § kevrekid@math.umass.edu identified at the level of PT -symmetric lattices, and nonlinear modes were identified in few-site oligomers, as well as in full lattice settings both in one dimension [32][33][34][35][36][37] and even in two dimensions [38].…”

Section: Introductionmentioning

confidence: 99%

Interaction of sine-Gordon kinks and breathers with a parity-time-symmetric defect

2014

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The scattering of kinks and low-frequency breathers of the nonlinear sine-Gordon (SG) equation on a spatially localized parity-time-symmetric perturbation (defect) with a balanced gain and loss is investigated numerically. It is demonstrated that if a kink passes the defect, it always restores its initial momentum and energy, and the only effect of the interaction with the defect is a phase shift of the kink. A kink approaching the defect from the gain side always passes, while in the opposite case it must have sufficiently large initial momentum to pass through the defect instead of being trapped in the loss region. The kink phase shift and critical velocity are calculated by means of the collective variable method. Kink-kink (kink-antikink) collisions at the defect are also briefly considered, showing how their pairwise repulsive (respectively, attractive) interaction can modify the collisional outcome of a single kink within the pair with the defect. For the breather, the result of its interaction with the defect depends strongly on the breather parameters (velocity, frequency, and initial phase) and on the defect parameters. The breather can gain some energy from the defect and as a result potentially even split into a kink-antikink pair, or it can lose a part of its energy. Interestingly, the breather translational mode is very weakly affected by the dissipative perturbation, so that a breather penetrates more easily through the defect when it comes from the lossy side, than a kink. In all studied soliton-defect interactions, the energy loss to radiation of small-amplitude extended waves is negligible.

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“…The scattering of usual continuous and discrete solitons by localized PT potentials have been recently investigated in [12] for the case of Scarf II type PT potential, and in [13] for PT defects in quasi-linear regime where it has been shown that reflected and transmitted small amplitude waves can be amplified in the scattering process. The possibility of soliton switching in a PT-symmetric coupler induced by the gain and loss properties of the PT defect was also suggested in [14].…”

Section: Introductionmentioning

confidence: 99%

Scattering of gap solitons byPT-symmetric defects

2013

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The resonant scattering of gap solitons (GS) of the periodic nonlinear Schrödinger equation with a localized defect which is symmetric under the parity and the time-reversal (PT) symmetry, is investigated. It is shown that for suitable amplitudes ratios of the real and imaginary parts of the defect potential the resonant transmission of the GS through the defect becomes possible. The resonances occur for potential parameters which allow the existence of localized defect modes with the same energy and norm of the incoming GS. Scattering properties of GSs of different band-gaps with effective masses of opposite sign are investigated. The possibility of unidirectional transmission and blockage of GSs by PT defect, as well as, amplification and destruction induced by multiple reflections from two PT defects, are also discussed.

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Scattering of linear and nonlinear waves in a waveguide array with aPT-symmetric defect

Cited by 52 publications

References 21 publications

Nonlinear switching and solitons in PT‐symmetric photonic systems

Nonlinear switching and solitons in PT‐symmetric photonic systems

Interaction of sine-Gordon kinks and breathers with a parity-time-symmetric defect

Scattering of gap solitons byPT-symmetric defects

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