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The nonlinear interaction of a microresonator pumped by a laser has revealed complex dynamics including soliton formation and chaos. Initial studies of coupled-resonator systems reveal even more complicated dynamics that can lead to…

A numerical and experimental study of the generation of harmonic mode locking in a silica toroid microcavity is presented. We use a generalized mean-field Lugiato-Lefever equation and solve it with the split-step Fourier method. We found…

Optics · Physics 2014-08-07 Takumi Kato , Tomoya Kobatake , Ryo Suzuki , Zhelun Chen , Takasumi Tanabe

Similar to radiation pressure, photothermal effects connect the optical path length to an intracavity field, resulting in nonlinear behavior of the resonator due to thermal effects. Here, we theoretically investigate the nonlinear optics…

Optics · Physics 2023-03-07 Akhtar Munir

We present the theory of modulation instability induced by spectrally dependent losses (optical filters) in passive driven nonlinear fiber ring resonators. Starting from an Ikeda map description of the propagation equation and boundary…

Optics · Physics 2021-02-03 A. Perego , M. Conforti , A. Mussot

This work is devoted to analysis of the nonlinear dynamics of interrelated thermal and electromagnetic perturbations in a superconductor caused by dissipative effects involved in the viscous motion of the magnetic flux. The structure and…

Superconductivity · Physics 2009-11-07 Nizam A. Taylanov

Optical frequency combs are indispensable links between the optical and microwave domains, enabling a wide range of applications including precision spectroscopy, ultrastable frequency generation, and timekeeping. Chip-scale integration…

Optics · Physics 2024-02-20 Yunxiang Song , Yaowen Hu , Marko Lončar , Kiyoul Yang

Using the Lugiato-Lefever model, we analyze the effects of third order chromatic dispersion on the existence and stability of dark and bright soliton Kerr frequency combs in the normal dispersion regime. While in the absence of third order…

Optics · Physics 2017-05-31 P. Parra-Rivas , D. Gomila , L. Gelens

We performed molecular dynamics simulations of Zr$_{50}$Cu$_{50}$ metallic glass samples submitted to mechanical deformation at different strain rates. The simultaneous measurements of the stress-strain curve, and of the temperature…

Materials Science · Physics 2025-07-18 Matias Sepulveda-Macias , Gergely Molnár , Anne Tanguy

Hot jupiter atmospheres may be subject to a thermo-resistive instability where an increase in the electrical conductivity due to ohmic heating results in runaway of the atmospheric temperature. We introduce a simplified one-dimensional…

Earth and Planetary Astrophysics · Physics 2023-08-03 Raphaël Hardy , Paul Charbonneau , Andrew Cumming

Time-delayed effects are widely present in nature, often accompanied by distinctive nonequilibrium features, such as negative apparent heat dissipation. To elucidate detailed structures of the dissipation, we study the frequency…

Statistical Mechanics · Physics 2026-02-06 Xin Wang , Ruicheng Bao , Naruo Ohga

The atmosphere of a hot jupiter may be subject to a thermo-resistive instability, in which the increasing electrical conductivity with temperature leads to runaway Ohmic heating. We introduce a simplified model of the local dynamics in the…

Earth and Planetary Astrophysics · Physics 2022-12-07 Raphaël Hardy , Andrew Cumming , Paul Charbonneau

Temperature measurement with nano-Kelvin resolution is demonstrated at room temperature, based on the thermal dependence of an optical crystal anisotropy in a high quality whispering gallery resonator. As the resonator's TE and TM modes…

Optics · Physics 2011-07-26 D. V. Strekalov , R. J. Thompson , L. M. Baumgartel , I. S. Grudinin , N. Yu

Tipping in multistable systems occurs usually by varying the input slightly, resulting in the output switching to an often unsatisfactory state. This phenomenon is manifested in thermoacoustic systems. This thermoacoustic instability may…

Adaptation and Self-Organizing Systems · Physics 2020-09-29 Xiaoyu Zhang , Yong Xu , Qi Liu , Jürgen Kurths , Celso Grebogi

Dissipative temporal Kerr solitons in optical microresonators enable to convert a continuous wave laser into a train of femtosecond pulses. Of particular interest are single soliton states, whose $\mathrm{sech}^{2}$ spectral envelope…

The coherent temporal soliton in optical microresonators has attracted great attention recently. Here, we demonstrate the dissipative Kerr soliton generation in a microrod resonator, by utilizing an auxiliary-laser-assisted thermal response…

Increasing requirements in the sensitivity of interferometric measurements is a common feature of several research fields, from gravitational wave detection to quantum optics. This motivates refined studies of high reflectivity mirrors and…

We present a simple method to stabilize the optical path length of an optical fiber to an accuracy of about 1/100 of the laser wavelength. We study the dynamic response of the path length to modulation of an electrically conductive heater…

Optics · Physics 2007-05-23 Holger Mueller , Achim Peters , Claus Braxmaier

Dissipative Kerr soliton microcomb has been recognized as a promising on-chip multi-wavelength laser source for fiber optical communications, as its comb lines possess frequency and phase stability far beyond independent lasers. In the…

Signal Processing · Electrical Eng. & Systems 2021-01-05 Yong Geng , Heng Zhou , Wenwen Cui , Xinjie Han , Qiang Zhang , Boyuan Liu , Guangwei Deng , Qiang Zhou , Kun Qiu

Extending work of Texier and Zumbrun in the semilinear non-re ection symmetric case, we study O(2) transverse Hopf bifurcation, or \cellular instability," of viscous shock waves in a channel, for a class of quasilinear hyperbolic{parabolic…

Analysis of PDEs · Mathematics 2016-11-25 Alin Pogan , Jinghua Yao , Kevin Zumbrun

The inverse diffusion flame (IDF) can experience thermoacoustic instability due to variations in power input or flow conditions. However, the dynamical transitions in IDF that lead to this instability when altering control parameters have…