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Saturable absorption is a non-perturbative nonlinear optical phenomenon that plays a pivotal role in the generation of ultrafast light pulses. Here we show that this effect emerges in graphene at unprecedentedly low light intensities, thus…

Mesoscale and Nanoscale Physics · Physics 2017-03-15 A. Marini , J. D. Cox , F. J. Garcia de Abajo

We investigate the impact of nonlinear damping on the dynamics of a nanomechanical doubly clamped beam. The beam is driven into nonlinear regime and the response is measured by a displacement detector. For data analysis we introduce a…

Other Condensed Matter · Physics 2009-09-29 Stav Zaitsev , Ronen Almog , Oleg Shtempluck , Eyal Buks

In the study on nonlinear wave-wave processes in an ionosphere and a magnetosphere usually the main attention is paid to investigation of plasma turbulence at well developed stage, when the wide spectrum of plasma wave is present. On the…

Plasma Physics · Physics 2009-11-13 A. S. Volokitin , B. Atamaniuk

Strong optical nonreciprocity at the nanoscale, relying on extreme one-way modes and backscattering suppression, can enable fundamentally new approaches in optoelectronics and plasmonics. Of special interest is achieving nonreciprocity in…

Mesoscale and Nanoscale Physics · Physics 2015-12-31 Dan S. Borgnia , Trung V. Phan , Leonid S. Levitov

Nonperturbative approach based on exact solution of Boltzmann kinetic equation in the relaxation time approximation is developed for the study of nonlinear response of electron-doped few-layer graphene to a high-frequency electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2020-03-06 D. V. Fil

The plane wave scattering and absorption by finite and infinite gratings of free-space standing infinitely long graphene strips are studied in the THz range. A novel numerical approach, based on graphene surface impedance, hyper-singular…

Mesoscale and Nanoscale Physics · Physics 2013-10-02 Olga V. Shapoval , Juan Sebastian Gomez-Diaz , Julien Perruisseau-Carrier , Juan R. Mosig , Alexander I. Nosich

In linear systems theory it's a well known fact that a regulator given by the cascade of an oscillatory dynamics, driven by some regulated variables, and of a stabiliser stabilising the cascade of the plant and of the oscillators has the…

Systems and Control · Electrical Eng. & Systems 2021-09-15 Daniele Astolfi , Laurent Praly , Lorenzo Marconi , Mines Paristech

Nonlinear nanophotonics leverages engineered nanostructures to funnel light into small volumes and intensify nonlinear optical processes with spectral and spatial control. Due to its intrinsically large and electrically tunable nonlinear…

A noisy damping parameter in the equation of motion of a nonlinear oscillator renders the fixed point of the system unstable when the amplitude of the noise is sufficiently large. However, the stability diagram of the system can not be…

Chaotic Dynamics · Physics 2016-08-16 Nicolas Leprovost , Sébatien Aumaitre , Kirone Mallick

Graph convolutional neural networks (GCNNs) have emerged as powerful tools for analyzing graph-structured data, achieving remarkable success across diverse applications. However, the theoretical understanding of the stability of these…

Machine Learning · Computer Science 2025-10-28 Ning Zhang , Henry Kenlay , Li Zhang , Mihai Cucuringu , Xiaowen Dong

We study existence, stability, and dynamics of linear and nonlinear stationary modes propagating in radially symmetric multi-core waveguides with balanced gain and loss. We demonstrate that, in general, the system can be reduced to an…

Mechanical nonlinearities dominate the motion of nanoresonators already at relatively small oscillation amplitudes. Although single and coupled two-degrees-of-freedom models have been used to account for experimentally observed nonlinear…

Mesoscale and Nanoscale Physics · Physics 2023-04-05 Ata Keşkekler , Vincent Bos , Alejandro M. Aragón , Peter G. Steeneken , Farbod Alijani

The deployment of plasmonic nanostructures to enhance nonlinear signal generation requires effective far-to-near field coupling and phase matching for frequency conversion. While the latter can be easily achieved at plasmonic hotspots, the…

This article describes the design methodology to achieve reflective diode-based parametric frequency selective limiters (pFSLs) with low power thresholds ($P_{th}$) and sub-dB insertion-loss values ($IL^{s.s}$) for driving power levels…

Systems and Control · Electrical Eng. & Systems 2021-06-16 Hussein M. E. Hussein , Mahmoud A. A. Ibrahim , Matteo Rinaldi , Marvin Onabajo , Cristian Cassella

The measured frequencies and intensities of different first- and second- order Raman peaks of suspended graphene are used to show that optical phonons and different acoustic phonon polarizations are driven out of local equilibrium inside a…

Materials Science · Physics 2017-02-22 Sean Sullivan , Ajit Vallabhaneni , Iskandar Kholmanov , Xiulin Ruan , Jayathi Murthy , Li Shi

Stochastic switching between the two bistable states of a strongly driven mechanical resonator enables detection of weak signals based on probability distributions, in a manner that mimics biological systems. However, conventional silicon…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Robin J. Dolleman , Pierpaolo Belardinelli , Samer Houri , Herre S. J. van der Zant , Farbod Alijani , Peter G. Steeneken

Electro-optic modulation is a technology-relevant function for signal keying, beam steering, or neuromorphic computing through providing the nonlinear activation function of a perceptron. With silicon-based modulators being bulky and…

Applied Physics · Physics 2018-05-23 Rubab Amin , Zhizhen Ma , Rishi Maiti , Sikandar Khan , Jacob B. Khurgin , Hamed Dalir , Volker J. Sorger

We theoretically study a doped graphene ribbon suspended over a trench and subject to an ac-electrical field polarized perpendicularly to the graphene plane. In such a system, the external ac-field is coupled to the relatively slow…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Axel M. Eriksson , Leonid Y. Gorelik

The structural flexibility of low dimensional nanomaterials offers unique opportunities for studying the impact of strain on their physical properties and for developing innovative devices utilizing strain engineering. A key towards such…

Mesoscale and Nanoscale Physics · Physics 2015-11-03 Fen Guan , Piranavan Kumaravadivel , Dmitri V. Averin , Xu Du

Weakly coupled oscillators are used throughout the physical sciences, particularly in mathematical neuroscience to describe the interaction of neurons in the brain. Systems of weakly coupled oscillators have a well-known decomposition to a…

Dynamical Systems · Mathematics 2019-09-30 Jason Bramburger