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We theoretically investigate the excitation, dynamics of parametrically driven soliton crystals and their resulting frequency combs in doubly resonant cavities with quadratic and cubic nonlinearities. We demonstrate that soliton crystal…

We report on the generation of an intermittent wave field driven by a horizontally moving wave maker interacting with Faraday waves. The spectrum of the local gravitocapillary surface wave fluctuations displays a power law in frequency for…

Fluid Dynamics · Physics 2018-04-11 Gustavo Castillo , Claudio Falcón

Raman effect in gases can generate an extremely long-living wave of coherence that can lead to the establishment of an almost perfect periodic variation of the medium refractive index. We show theoretically and numerically that the…

We demonstrate the suppression of parametric instability using through optical actuation in an electro-optical feedback loop, stabilising the high order optical mode content in an 80 metre long Fabry-Perot cavity. The loop suppression of…

Optics · Physics 2022-03-01 Vladimir Bossilkov , Jian Liu , Carl Blair , Chunnong Zhao , Li Ju

We study resonant light scattering in arrays of channel optical waveguides where tunable quadratic nonlinearity is introduced as nonlinear defects by periodic poling of single (or several) waveguides in the array. We describe novel features…

Pattern Formation and Solitons · Physics 2009-11-10 A. E. Miroshnichenko , Y. S. Kivshar , R. A. Vicencio , M. I. Molina

A class of periodic solutions of the nonlinear Schrodinger equation with non- Hermitian potentials are considered. The system may be implemented in planar nonlinear optical waveguides carrying an appropriate distribution of local gain and…

Optics · Physics 2018-05-21 Bin Liu , Lu Li , Boris A. Malomed

Optical Faraday rotation is one of the most direct and practically important manifestations of magnetically broken time-reversal symmetry. The rotation angle is proportional to the distance traveled by the light, and up to now sizeable…

Faraday rotation in a magnetoactive medium with time dependent dielectric permittivity tensor is analyzed through both its diagonal and non-diagonal elements. Continuous and pulse incident laser field cases are considered. In a continuous…

Optics · Physics 2018-01-17 Zhyrair Gevorkian , Vladimir Gasparian , Josh Lofy

Continuously pumped passive nonlinear cavities can be harnessed for the creation of novel optical frequency combs. While most research has focused on third-order "Kerr" nonlinear interactions, recent studies have shown that frequency comb…

We investigate the Marangoni modulation of coupled Rayleigh-Taylor and Faraday instabilities in a vertically oscillated Newtonian liquid film carrying insoluble surfactants. Linear stability analysis using Floquet theory reveals that an…

Fluid Dynamics · Physics 2026-04-22 Jun Gao , Senlin Zhu , Luca Brandt , Jianjun Tao , Qingfei Fu , Lijun Yang

A magnetometric technique is demonstrated that may be suitable for precision measurements of fields ranging from the sub-microgauss level to above the Earth field. It is based on resonant nonlinear magneto-optical rotation caused by atoms…

Atomic Physics · Physics 2009-11-07 D. Budker , D. F. Kimball , V. V. Yashchuk , M. Zolotorev

We propose and design a new type of nonlinear metamaterials exhibiting a resonant electric response at microwave frequencies. By introducing a varactor diode as a nonlinear element within each resonator, we are able to shift the frequency…

Optics · Physics 2009-08-25 David A. Powell , Ilya V. Shadrivov , Yuri S. Kivshar

We present a theory of the magneto-optical Faraday and Kerr effects of topological insulator (TI) films. For film thicknesses short compared to wavelength, we find that the low-frequency Faraday effect in ideal systems is quantized at…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Wang-Kong Tse , A. H. MacDonald

The linear Faraday effect is used to implement a continuous measurement of the spin of a sample of laser cooled atoms trapped in an optical lattice. One of the optical lattice beams serves also as a probe beam, thereby allowing one to…

Quantum Physics · Physics 2009-11-10 Greg Smith , Souma Chaudhury , Poul S. Jessen

Photonic time crystals (PTCs) are spatially uniform media with periodic modulation in time, enabling momentum bandgaps and the parametric amplification of light. While their potential in optical systems is very promising, practical…

We present an optical fiber experiment in which we examine the space-time evolution of a modulationally unstable plane wave initially perturbed by a small noise. Using a recirculating fiber loop as experimental platform, we report the…

Optics · Physics 2019-09-04 Adrien Kraych , Dmitry Agafontsev , Stephane Randoux , Pierre Suret

We investigate in this paper the superharmonic and subharmonic resonances of forced modified Rayleigh-Duffing oscillator. We analyse this equation by the method of multiple scales and we obtain superharmonic, subharmonic resonances…

Fluid Dynamics · Physics 2017-09-25 C. H. Miwadinou , A. V. Monwanou , J. B. Chabi Orou

We consider the paraxial model for a nonlinear resonator with a saturable absorber beyond the mean-field limit and develop a method to study the modulational instabilities leading to pattern formation in all three spatial dimensions. For…

Pattern Formation and Solitons · Physics 2009-11-10 Massimo Brambilla , Lorenzo Columbo , Tommaso Maggipinto

Closed-form expressions for the average amplitude of the optical field in optomechanical systems are obtained, in which, in addition to the linear interaction, quadratic and cubic interactions of the vibrational mode of the mechanical…

Quantum Physics · Physics 2025-06-06 A. P. Saiko , G. A. Rusetsky , S. A. Markevich , R. Fedaruk

Parametric instabilities are a known feature of periodically driven dynamic systems; at particular frequencies and amplitudes of the driving modulation, the system's quasi-periodic response undergoes a frequency lock-in, leading to a…

Mathematical Physics · Physics 2026-05-22 Helen E. Read , Giada Risso , Adel Djellouli , Katia Bertoldi , Arnaud Lazarus
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