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We derive a general theory of linear coupling and Kerr nonlinear coupling between modes of dielectric optical resonators from first principles. The treatment is not specific to a particular geometry or choice of mode basis, and can…

光学 · 物理学 2022-03-14 Jonathan M. Silver , Pascal Del'Haye

Cavity optomechanics has proven to be a field of research rich with possibilities for studying motional cooling, squeezing, quantum entanglement and metrology in solid state systems. While to date most studies have focused on the modulation…

量子物理 · 物理学 2017-10-17 M. Mikkelsen , T. Fogarty , J. Twamley , Th. Busch

We theoretically and experimentally investigate the mutual collapse dynamics of two spatially separated optical beams in a Kerr medium. Depending on the initial power, beam separation, and the relative phase, we observe repulsion or…

We study theoretically nonlinear effects arising from the presence of a Kerr-down conversion nonlinear crystal inside an optomechanical cavity. For this system we investigate the influences of the two nonlinearities, i.e., the Kerr…

量子物理 · 物理学 2013-03-06 S. Shahidani , M. H. Naderi , M. Soltanolkotabi , Sh. Barzanjeh

A two-dimensional nonlinear Schrodinger lattice with nonlinear coupling, modelling a square array of weakly coupled linear optical waveguides embedded in a nonlinear Kerr material, is studied. We find that despite a vanishing energy…

斑图形成与孤子 · 物理学 2008-12-18 Michael Oster , Magnus Johansson

Nonlinear effects in microresonators are efficient building blocks for all-optical computing and telecom systems. With the latest advances in microfabrication, coupled microresonators are used in a rapidly growing number of applications. In…

We present exact analogies between the tautochrone problem of mechanics and the squeezed states of quantum optics, to optical lattices. Both phenomena emerge in the same physical system, that of waveguide arrays with non-uniform couplings.…

We investigate the effects of weak disorder on the time evolution of a wave packet in an array of optical waveguides with parity-symmetric evanescent coupling and, open or periodic boundary conditions. For an open array, when the disorder…

光学 · 物理学 2014-04-15 Clinton Thompson , Yogesh N. Joglekar , Gautam Vemuri

Spontaneous symmetry breaking in nonlinear systems provides a unified method to understand vastly different phenomena, ranging from Higgs mechanism [1] and superconductivity [2] to ecological stability [3] and genome generation [4].…

光学 · 物理学 2022-08-11 Chaohan Cui , Liang Zhang , Linran Fan

There are three key factors of a system of coupled oscillators that characterize the interaction among them: coupling (how to affect), delay (when to affect) and topology (whom to affect). For each of them, the existing work has mainly…

最优化与控制 · 数学 2015-06-15 Enrique Mallada , Ao Tang

Photonic devices exhibiting all-optically reconfigurable polarization dependence with a large dynamic range would be highly attractive for active polarization control. Here, we report that strongly polarization-selective nonlinear…

光学 · 物理学 2019-02-20 Dae Seok Han , Il-Min Lee , Kyung Hyun Park , Myeong Soo Kang

It is well-known that the nonlinear coupling between a mechanical oscillator and a superconducting oscillator or optical cavity can be used to generate a Kerr-nonlinearity for the cavity mode. We show that the strength of this…

量子物理 · 物理学 2014-07-18 Jie-Qiao Liao , Kurt Jacobs , Franco Nori , Raymond W. Simmonds

We consider dynamics of spatial beams in a dual-channel waveguide with competing cubic and quintic (CQ) nonlinearities. Gradually increasing the power in the input channel, we identify four different regimes of the pulses coupling into the…

斑图形成与孤子 · 物理学 2009-11-11 Rodislav Driben , Boris A Malomed , Pak L Chu

The effect of a Kerr nonlinearity on dynamical tunneling is studied, using coupled whispering gallery modes in an optical microcavity. The model system that we have chosen is the 'add-drop filter', which comprises an optical microcavity and…

光学 · 物理学 2016-12-07 Jeong-Bo Shim , Peter Schlagheck , Martina Hentschel , Jan Wiersig

We introduce a model of a dual-core optical waveguide with opposite signs of the group-velocity-dispersion (GVD) in the two cores, and a phase-velocity mismatch between them. The coupler is embedded into an active host medium, which…

光学 · 物理学 2015-06-24 Brenda Dana , Alon Bahabad , Boris A. Malomed

We consider light propagation through a pair of nonlinear optical waveguides with absorption, placed in a medium with power gain. The active medium boosts the in-phase component of the overlapping evanescent fields of the guides, while the…

光学 · 物理学 2015-06-17 N. V. Alexeeva , I. V. Barashenkov , K. Rayanov , S. Flach

We investigate the spatio-temporal dynamics of coupled chaotic systems with nonlocal interactions, where each element is coupled to its nearest neighbors within a finite range. Depending upon the coupling strength and coupling radius, we…

We investigate symmetry restoration and spatially localized dynamics in a non-Hermitian optical trimer composed of three lossy waveguides with complex-valued couplings. Extending our previous analysis of the system's global bifurcation…

光学 · 物理学 2026-05-29 Johanne Hizanidis , Konstantinos G. Makris

In this work we study the evolution of an optical vortex undergoing self phase modulation inside a nonlinear Kerr medium. The intensity dependent phase evolution couples the angular and radial degrees of freedom of the input vortex, giving…

The interaction of waves in nonlinear Kerr waveguides are, under some circumstances, similar to the physics occurring at the horizon of black and white holes. Here, we investigate this analogy in an integrated nonlinear photonic structure…

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