Solitons supported by complex<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">PT</mml:mi></mml:math>-symmetric Gaussian potentials

Hu, Sumei; Ma, Xuekai; Lu, Daquan; Yang, Zhenjun; Zheng, Yizhou; Hu, Wei

doi:10.1103/physreva.84.043818

Cited by 111 publications

(65 citation statements)

References 27 publications

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“…[4]. Solitons supported by other PT -symmetric defects were also reported for focusing [7] and defocusing [8] media. Linear scattering by a PT -symmetric inhomogeneity and the emergence of the related spectral singularities were described in Ref.…”

Section: Introductionmentioning

confidence: 68%

Localized modes inχ(2)media withPT-symmetric localized potential

et al. 2012

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We study the existence and stability of solitons in the quadratic nonlinear media with spatially localized parity-time-(PT )-symmetric modulation of the linear refractive index. Families of stable one-and two-hump solitons are found. The properties of nonlinear modes bifurcating from a linear limit of small fundamental harmonic fields are investigated. It is shown that the fundamental branch, bifurcating from the linear mode of the fundamental harmonic is limited in power. The power maximum decreases with the strength of the imaginary part of the refractive index. The modes bifurcating from the linear mode of the second harmonic can exist even above the PT -symmetry-breaking threshold. We found that the fundamental branch bifurcating from the linear limit can undergo a secondary bifurcation colliding with a branch of two-hump soliton solutions. The stability intervals for different values of the propagation constant and gain or loss gradient are obtained. The examples of dynamics and excitations of solitons obtained by numerical simulations are also given.

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Section: Introductionmentioning

confidence: 68%

Localized modes inχ(2)media withPT-symmetric localized potential

et al. 2012

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“…[98] stable fundamental soliton, as well as two-and three-soliton solutions, have been reported for the Gaussian PT-symmetric potential of the form…”

Section: Solitons In Localized Potentialsmentioning

confidence: 99%

Nonlinear switching and solitons in PT‐symmetric photonic systems

Suchkov

Sukhorukov

Huang

et al. 2016

Laser & Photonics Reviews

344

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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“…Nonlinear modes and solitons have been studied in various P T -symmetric potentials with local [47][48][49][50][51][52][53][54][55] and nonlocal [56][57][58][59][60][61][62][63] nonlinearities, but the present work has a slightly peculiar focus. We are particularly interested in the combined effect of the parabolic trapping, nonlocality and P T symmetry on the excited (higher-order) nonlinear modes.…”

Section: Introductionmentioning

confidence: 99%

Small-Amplitude Nonlinear Modes under the Combined Effect of the Parabolic Potential, Nonlocality and PT Symmetry

Zezyulin

2016

Symmetry

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Abstract:We consider nonlinear modes of the nonlinear Schrödinger equation with nonlocal nonlinearities and and P T -symmetric parabolic potential. We show that there exists a set of continuous families of nonlinear modes and study their linear stability in the limit of small nonlinearity. It is demonstrated that either P T symmetry or the nonlocality can be used to manage the stability of the small-amplitude nonlinear modes. The stability properties are also found to depend on the particular shape of the nonlocal kernel. Numerical simulations show that the stability results remain valid not only for the infinitesimally small nonlinear modes, but also for the modes of finite amplitude.

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Solitons supported by complexPT-symmetric Gaussian potentials

Cited by 111 publications

References 27 publications

Localized modes inχ(2)media withPT-symmetric localized potential

Localized modes inχ(2)media withPT-symmetric localized potential

Nonlinear switching and solitons in PT‐symmetric photonic systems

Small-Amplitude Nonlinear Modes under the Combined Effect of the Parabolic Potential, Nonlocality and PT Symmetry

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