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The occurrence of extreme (rogue) waves in the ocean is for the most part still shrouded in mystery, as the rare nature of these events makes them difficult to analyze with traditional methods. Modern data mining and machine learning…

Atmospheric and Oceanic Physics · Physics 2021-08-13 Dion Häfner , Johannes Gemmrich , Markus Jochum

Many key functionalities of optical frequency combs such as self-referencing and broad spectral access rely on coherent supercontinuum generation (SCG). While nanophotonic waveguides have emerged as a compact and power-efficient platform…

Optics · Physics 2023-12-19 Chia-Yi Lee , Yanwu Liu , Yinke Cheng , Cheng-Hao Lao , Qihuang Gong , Qi-Fan Yang

We report on the design and experimental characterization of a suspended silicon nitride subwavelength grating possessing a polarization-independent guided-mode resonance at oblique incidence. At this resonant wavelength we observe that the…

Optics · Physics 2022-01-25 Ali Akbar Darki , Søren Peder Madsen , Aurélien Dantan

We present both theoretical description and experimental observation of the modulation instability process and related rogue breathers in the case of stationary periodic background waves, namely cnoidal and dnoidal envelopes. Despite being…

Pattern Formation and Solitons · Physics 2020-10-07 Gang Xu , Amin Chabchoub , Dmitry E. Pelinovsky , Bertrand Kibler

Rogue wave patterns in the nonlinear Schr\"{o}dinger (NLS) equation and the derivative NLS equation are analytically studied. It is shown that when the free parameters in the analytical expressions of these rogue waves are large, these…

Pattern Formation and Solitons · Physics 2020-09-15 Bo Yang , Jianke Yang

In this work, we analyze the asymptotic behaviors of high-order rogue wave solutions with multiple large parameters and discover novel rogue wave patterns, including claw-like, OTR-type, TTR-type, semi-modified TTR-type, and their modified…

Exactly Solvable and Integrable Systems · Physics 2024-05-31 Huian Lin , Liming Ling

We introduce a novel family of analytic solutions of the three-wave resonant interaction equations to the purpose of modeling unique events, i.e. "amplitude peaks" which are isolated in space and time. The description of these solutions is…

Exactly Solvable and Integrable Systems · Physics 2013-09-18 Fabio Baronio , Matteo Conforti , Antonio Degasperis , Sara Lombardo

A device that achieves controllable rotation of the state of polarization by rotating the orientation of the eigenmodes of a waveguide by 45$^{\circ}$ is introduced and analyzed. The device can be implemented using lossless materials on a…

Optics · Physics 2016-04-20 PoHan Chang , Charles Lin , Amr S. Helmy

This work presents two distinct approaches to estimating the exponent related to the distribution of optical rogue waves observed in supercontinuum generated in a single-mode fiber, that is, to quantifying the rogueness. The first is a…

An overdense plasma layer irradiated by an intense light can exhibit dramatic nonlinear-optical effects due to a relativistic mass-effect of free electrons: highly-multiple hysteresises of reflection and transition, and emergence of…

Plasma Physics · Physics 2010-03-16 A. E. Kaplan

We study rogue wave excitation dynamics on a double-plane wave background through deriving rogue wave solution on the background. The results indicate that rogue wave still can be excited successfully from resonant perturbations with the…

Pattern Formation and Solitons · Physics 2017-10-06 Li-Chen Zhao , Liang Duan , Peng Gao , Zhan-Ying Yang

On-chip integration of 2D materials provides a promising route towards next-generation integrated optical devices with performance beyond existing limits. Here, significantly enhanced spectral broadening induced by self-phase modulation…

Using a generalized nonlinear Schr\"odinger equation, we investigate the transformation of a fundamental rogue wave to a collection of solitons. Taking the third-order dispersion, self-steepening, and Raman-induced self-frequency shift as…

Pattern Formation and Solitons · Physics 2023-02-01 Amdad Chowdury , Wonkeun Chang , Marco Battiato

We introduce a modular approach for efficiently interfacing photonic integrated circuits with deep-sub-wavelength hybrid plasmonic functionality. We demonstrate that an off-the-shelf silicon-on-insulator waveguide can be post-processed into…

In this paper, we numerically show and discuss the existence and characteristics of rogue heat and diffusion waves. More specifically, we use two different nonlinear heat (diffusion) models and show that modulation instability leads to the…

Pattern Formation and Solitons · Physics 2020-07-15 Cihan Bayindir

We analytically study rogue-wave (RW) solutions and rational solitons of an integrable fifth-order nonlinear Schr\"odinger (FONLS) equation with three free parameters. It includes, as particular cases, the usual NLS, Hirota, and…

Pattern Formation and Solitons · Physics 2017-03-31 Yunqing Yang , Zhenya Yan , Boris A. Malomed

We experimentally show octave-spanning supercontinuum generation in a non-stoichiometric silicon-rich nitride waveguide when pumped by femtosecond pulses from an erbium fiber laser. The pulse energy and bandwidth are comparable to results…

Guided wave optics, including most prominently fiber optics and integrated photonics, very often considers only one or very few spatial modes of the waveguides. Despite being known and utilized for decades, multi-mode guided wave optics is…

Optics · Physics 2023-08-29 Spencer W. Jolly , Pascal Kockaert

We propose deep-subwavelength optical waveguides based on metal-dielectric multilayer indefinite metamaterials with ultrahigh effective refractive indices. Waveguide modes with different mode orders are systematically analyzed with…

Optics · Physics 2015-06-04 Yingran He , Sailing He , Jie Gao , Xiaodong Yang

In this paper, we report the emergence of breather and super rogue waves in a modified Noguchi electrical transmission line and demonstrate that both phenomena arise from baseband modulational instability. We then systematically examine the…

Pattern Formation and Solitons · Physics 2025-04-29 N. Sinthuja , M. Senthilvelan , K. Murali
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