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Three-mode parametric interactions occur in triply-resonant optomechanical systems: photons from an optical pump mode are coherently scattered to a high-order mode by mechanical motion of the cavity mirrors, and these modes resonantly…

The Kerr effect in optical microresonators plays an important role for integrated photonic devices and enables third harmonic generation, four-wave mixing, and the generation of microresonator-based frequency combs. Here we experimentally…

Spontaneous emergence of self-organized patterns and their bifurcations towards a regime of complex dynamics in non-equilibrium dissipative systems is a paradigm of phase transition. Indeed, the behavior of these patterns in the highly…

Microscopic many-body theory coupled to Maxwell's equation is used to investigate dual-wavelength operation in vertical external-cavity surface-emitting lasers. The intrinsically dynamic nature of coexisting emission wavelengths in…

Optics · Physics 2019-03-27 I. Kilen , J. Hader , S. W. Koch , J. V. Moloney

We revisit the mean field model of globally and harmonically coupled parametric oscillators subject to periodic block pulses with initially random phases. The phase diagram of regions of collective parametric instability is presented, as is…

Statistical Mechanics · Physics 2009-11-07 I. Bena , R. Kawai , C. Van den Broeck , M. Copelli , K. Lindenberg

Multistability -- the emergence of multiple stable states under identical conditions -- is a hallmark of nonlinear complexity and an enabling mechanism for multilevel optical memory and photonic computing. Its realization in a compact…

Optics · Physics 2025-11-18 Zhen Liu , Xuefan Yin , Andrey Bogdanov , Yujia Nie , Yi Zuo , Hongbin Li , Feifan Wang , Chao Peng

We study the inhibition of pattern formation in nonlinear optical systems using intracavity photonic crystals. We consider mean field models for single and doubly degenerate optical parametric oscillators. Analytical expressions for the new…

Pattern Formation and Solitons · Physics 2009-11-11 Damia Gomila , Gian-Luca Oppo

We study simultaneous parametric oscillations in a system composed of two distributed-element-circuit Josephson parametric oscillators in the single-photon Kerr regime coupled via a static capacitance. The energy of the system is described…

Quantum Physics · Physics 2023-08-03 T. Yamaji , S. Masuda , A. Yamaguchi , T. Satoh , A. Morioka , Y. Igarashi , M. Shirane , T. Yamamoto

The dynamics of Fabry-Perot cavity with suspended mirrors is described. The suspended mirrors are nonlinear oscillators interacting with each other through the laser circulating in the cavity. The degrees of freedom decouple in normal…

Optics · Physics 2007-05-23 M. Rakhmanov , A. Arodzero

Optical hyperparametric oscillation based on the third-order nonlinearity is one of the most significant mechanisms to generate coherent electromagnetic radiation and produce quantum states of light. Advances in dispersion-engineered…

A new amplification method based on the optical Kerr instability is suggested and theoretically analyzed, with emphasis on the near to mid-infrared wavelength regime. Our analysis for CaF2 and KBr crystals shows that one to two cycle pulse…

Optics · Physics 2017-11-15 M. Nesrallah , G. Vampa , G. Bart , P. B. Corkum , C. R. McDonald , T. Brabec

We introduce a class of one-dimensional complex optical potentials that feature a nonlinearity-induced stability restoration, i.e., the existence of stable nonlinear modes propagating in a waveguide whose linear eigenmodes are unstable. The…

Optics · Physics 2024-04-15 Dmitry A. Zezyulin

Modulating the frequency of a harmonic oscillator at nearly twice its natural frequency leads to amplification and self-oscillation. Above the oscillation threshold, the field settles into a coherent oscillating state with a well-defined…

The dynamics of the modulation instability induced by cross phase modulation is studied by considering the influence of the walk-off and noninstantaneous response effects for two copropagating optical fields travelling in the anomalous…

Optics · Physics 2017-11-08 Askery Canabarro , B. Santos , B. de Lima Bernardo

A system of equations has been proposed for a monochromatic weakly nonlinear light wave in a Kerr medium. This system is equivalent up to the third order in electric field to the known equation $\mbox{curl}\,\mbox{curl}\, {\bf E}=k_0^2[{\bf…

Optics · Physics 2025-01-20 Victor P. Ruban

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 present an approximate analysis of a nonlinear effect of parametric oscillatory instability in FP interferometer. The basis for this effect is the excitation of the additional (Stokes) optical mode and of the mirror's elastic mode when…

General Relativity and Quantum Cosmology · Physics 2009-11-07 V. B. Braginsky , S. E. Strigin , S. P. Vyatchanin

We investigate the appearance of spontaneous coherence in the parametric emission from planar semiconductor microcavities in the strong coupling regime. Calculations are performed by means of a Quantum Monte Carlo technique based on the…

Other Condensed Matter · Physics 2007-05-23 Iacopo Carusotto , Cristiano Ciuti

It is shown that the properties of the modulational instability of partially coherent waves propagating in a nonlinear Kerr medium depend crucially on the profile of the incoherent field spectrum. Under certain conditions, the incoherence…

Optics · Physics 2009-11-10 D. Anderson , L. Helczynski , M. Lisak , V. Semenov

We demonstrate experimentally that in a centrosymmetric paraelectric non-stationary boundary conditions can dynamically halt the intrinsic instability of quasi-steady-state photorefractive self-trapping, driving beam evolution into a stable…

Optics · Physics 2009-11-06 G. M. Tosi-Beleffi , M. Presi , C. Palma , D. Boschi , E. DelRe , A. J. Agranat
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