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Temporal solitons are optical pulses that arise from the balance of negative group-velocity dispersion and self-phase modulation. For decades only quadratic dispersion was considered, with higher order dispersion thought of as a nuisance.…

By generalising Rudin's construction of an aperiodic sequence, we derive new substitution-based structures which have purely absolutely continuous diffraction and mixed dynamical spectrum, with absolutely continuous and pure point parts. We…

动力系统 · 数学 2018-07-13 Lax Chan , Uwe Grimm , Ian Short

We discover multipole-mode solitons supported by the surface between two distinct periodic lattices imprinted in Kerr-type nonlinear media. Such solitons are possible because the refractive index modulation at both sides of the interface…

光学 · 物理学 2009-11-11 Yaroslav V. Kartashov , Lluis Torner

We discuss asymptotics of the zeros of orthogonal polynomials on the real line and on the unit circle when the recursion coefficients are periodic. The zeros on or near the absolutely continuous spectrum have a clock structure with spacings…

谱理论 · 数学 2007-05-23 Barry Simon

We address the formation and propagation of multi-spot soliton packets in saturable Kerr nonlinear media with an imprinted harmonic transverse modulation of the refractive index. We show that, in sharp contrast to homogeneous media where…

光学 · 物理学 2009-11-10 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

Motivated by the realization of the Dirac point (DP) with a double-cone structure for optical field in the negative-zero-positive index metamaterial (NZPIM), the reflection, transmission, and Goos-H\"{a}nchen (GH) shifts inside the NZPIM…

光学 · 物理学 2009-10-28 Xi Chen , Li-Gang Wang , Chun-Fang Li

Light is generally expected to travel through isotropic media independent of its direction. This makes it challenging to develop non-reciprocal optical elements like optical diodes or circulators, which currently rely on magneto-optical…

We introduce a novel class of stable nonlinear modes trapped in a lower-index film core sandwiched between two optical lattices, or in the cylindrical core of a radial lattice, imprinted in defocusing media. Such family of nonlinear modes…

光学 · 物理学 2009-11-13 Fangwei Ye , Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

We report a rich spectrum of isolated solitons residing inside ({\it embedded } into) the continuous radiation spectrum in a simple model of three-wave spatial interaction in a second-harmonic-generating planar optical waveguide equipped…

光学 · 物理学 2016-09-08 Alan R. Champneys , Boris A. Malomed

We suggest a novel concept in the soliton switching based on the Bloch-wave filtering in periodic photonic structures. Taking a binary waveguide array as an example, we demonstrate that spatial solitons that belong to different spectral…

光学 · 物理学 2009-04-01 Andrey A. Sukhorukov , Yuri S. Kivshar

We demonstrate that the temporal reflection of a weak dispersive pulse on a soliton in media with a frequency-dependent nonlinearity leads to the generation of new solitons, whose number can be selected by tuning parameters of the…

We theoretically discuss the possibility of realizing the negative refractive index in Weyl/Dirac semimetals. We consider the Maxwell equations with the plasma gap and the chiral magnetic effect. We study the dispersion relations of…

介观与纳米尺度物理 · 物理学 2018-02-02 Tomoya Hayata

Nonlinear topological photonics is an emerging field aiming at extending the fascinating properties of topological states to the realm where interactions between the system constituents cannot be neglected. Interactions can indeed trigger…

A new class of solitary waves arises in the solution of nonlinear wave equations with constant impedance and no dispersive terms. They depend on a balance between nonlinearity and a dispersion-like effect due to spatial variation in the…

斑图形成与孤子 · 物理学 2013-12-17 David I. Ketcheson , Manuel Quezada de Luna

An analysis of electron transport in graphene is presented in the presence of various arrangement of delta-function like magnetic barriers. The motion through one such barrier gives an unusual non specular refraction leading to asymmetric…

介观与纳米尺度物理 · 物理学 2009-07-09 Sankalpa Ghosh , Manish Sharma

We investigate the existence and stability of gap solitons in a double-core optical fiber, where one core has the Kerr nonlinearity and the other one is linear, with the Bragg grating (BG) written on the nonlinear core, while the linear one…

斑图形成与孤子 · 物理学 2009-10-31 Javid Atai , Boris A. Malomed

Soliton microcombs based on Kerr nonlinearity in microresonators have been a prominent miniaturized coherent light source. Here, for the first time, we demonstrate the existence of Kerr solitons in an optomechanical microresonator, for…

光学 · 物理学 2022-03-02 Jia-Chen Shi , Qing-Xin Ji , Qi-Tao Cao , Yan Yu , Wenjing Liu , Qihuang Gong , Yun-Feng Xiao

Wave propagation in spatially periodic media, such as photonic crystals, can be qualitatively different from any uniform substance. The differences are particularly pronounced when the electromagnetic wavelength is comparable to the…

光学 · 物理学 2007-05-23 A. Figotin , I. Vitebskiy

We present and theoretically investigate a dispersion engineered GaP-OI microresonator containing a partially-etched gap of 250 nm x 410 nm in a 600 nm x 2990 nm waveguide. This gap enables a 3.25 {\mu}m wide anomalous dispersion spectral…

光学 · 物理学 2022-10-03 Houling Ji , Zhaoting Geng , Weiren Cheng , Zhuoyu Yu , Pengzhuo Wu , Yi Li , Qiancheng Zhao

Nonlinear phenomena are inherent in most systems in nature. Second or higher-order harmonic generations, three-wave and four-wave mixing are typical phenomena in nonlinear optics. To obtain a nonzero signal for second-harmonic generation in…

介观与纳米尺度物理 · 物理学 2019-04-29 Zhou Li , Franco Nori