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1.
The evolution of a strip (one-dimensional) fundamental beam with propagation distance owing to spatial modulational instabilities was analyzed in a quadratic medium near type I phase matching. We obtained the gain coefficient for the modulational instability and showed that the wave evolves into a clean periodic sequence of solitary waves and does not reproduce the incident beam.  相似文献   

2.
We find the threshold and the generation angle for transverse instability of quasi-phase-matched counter-propagating fundamental and second-harmonic beams in a bulk c((2)) medium. Numerical estimates indicate that the instability should be observable with currently available materials.  相似文献   

3.
Scattering and spiraling of solitons in a bulk quadratic medium   总被引:2,自引:0,他引:2  
We analyze the interactions of (2+1) -dimensional parametric solitons and demonstrate nonplanar beam switching in a bulk X((2)) medium, which includes controllable soliton repulsion, spiraling, and fusion. An analytical model predicting the results of the soliton scattering is derived and verified by direct numerics.  相似文献   

4.
We report what is believed to be the first experimental demonstration of the azimuthal self-breaking of intense beams containing a vortex phase dislocation into sets of optical spatial solitons in a quadratic nonlinear material. The observations were performed in a KTP crystal.  相似文献   

5.
6.
In this paper we discuss the turbulent state of an unmagnetized, completed ionized hydrogen plasma for the case when the electron temperature is much higher than the ion temperature so that the main modes to be considered are the Langmuir and ion-sound modes, while the transverse, electromagnetic mode can for most purposes be neglected. We give in the introduction a brief discussion of the quasi-linear theory of weak Langmuir turbulence as developed by Tsytovich and coworkers. We discuss why the peak of the resulting spectrum occurs at a finite wavenumber; the reason is that the removal of energy through electron collisions is faster than either thermalization of the ion-component or the transfer to yet lower wavenumbers through scattering by ions. In section 2 we sketch Zakharov's derivation of the basic equations which in the linear form describe the three modes mentioned earlier and which describe the nonlinear modulational instability (M.I.). In section 3 we give the linear analysis of the equations derived in section 2 and show that the decay instability of finite-amplitude Langmuir waves is fully covered by these equations. We also discuss the general dispersion relations for perturbations of such finite-amplitude waves and show that they lead to both the M.I. and the decay instability. We evaluate the growth rates for various kinds of perturbations. It is shown that all our results are valid only provided the energy density of the Langmuir modes W is less than the kinetic energy density nTe of the electrons. In section 4 we discuss under what circumtances in the linear approximation the M.I. dominates over other dissipative mechanisms and we show that it may well be the dominant mechanism for the case of strong turbulence, when W/nTeW? > = me/mi. Section 5 is devoted to a discussion of the one-dimensional variant of our basic equations. We give a brief discussion of various soliton-bearing equations such as the Kortweg-de Vries equation (KdV), the sine-Gordon equation (SG), and the non-linear Schrödinger equation (NLS).We discuss the possible connection between the number of polynomial conserved densities (p.c.d.) which lead to integrals of motion and the number of solitons in the strict sense of the term which can occur in a single exact solution of the equation. We also discuss the evolution of a system of Langmuir solitons in terms of their interactions with one another and with ion-sound. In section 6 we first of all show that in three-dimensions soliton-like structures are unstable against adiabatic collapse. We then discuss the dynamics of such collapsing “cavitons” and show that the theory of collapsing cavitons predicts that the turbulent energy should increase as the 23 power of the pumping rate. We discuss the fact that it may be difficult to avoid overcrowding of cavitons which would violate their independence. We finally briefly discuss the few relevant experiments and mention some ideas for future research.  相似文献   

7.
Observation of modulational instability in optical fibers   总被引:1,自引:0,他引:1  
  相似文献   

8.
The dynamics of an elongated attractive Bose-Einstein condensate in an axisymmetric harmonic trap is studied. It is shown that density fringes caused by self-interference of the condensate order parameter seed modulational instability. The latter has novel features in contradistinction to the usual homogeneous case known from nonlinear fiber optics. Several open questions in the interpretation of the recent creation of the first matter-wave bright soliton train [Nature (London) 417, 150 (2002)]] are addressed. It is shown that primary transverse collapse, followed by secondary collapse induced by soliton-soliton interactions, produces bursts of hot atoms at different time scales.  相似文献   

9.
We study theoretically and experimentally the switching dynamics of a nonlinear optical bistable system that exhibits modulational instability in the vicinity of its lower limit point. We show that modulational instability induces premature upswitching and, in this way, truncates the bistable cycle. The role of the modulation instability is identified experimentally through the observation of the transient pattern formation that precedes upswitching. Our experiment illustrates the importance of cooperative behavior in practical distributed bistable systems.  相似文献   

10.
We study modulational instability in nonlinear arrays of subwavelength metallic nanoparticles and analyze numerically nonlinear scenarios of the instability development. We demonstrate that modulational instability can lead to the formation of regular periodic or quasiperiodic modulations of the polarization. We reveal that such nonlinear nanoparticle arrays can support long-lived standing and moving oscillating nonlinear localized modes--plasmon oscillons.  相似文献   

11.
12.
We report an experimental study of the breakup through modulational instability of broad fundamental beams near the phase-matching condition for second-harmonic generation in lithium niobate slab waveguides. Two mechanisms for initiating modulational instability, waveguide imperfections and noise on the input beam, are identified.  相似文献   

13.
Xiao-Qian Yang 《中国物理 B》2022,31(7):70202-070202
Perturbation analysis and scale expansion are used to derive the (2+1)-dimensional coupled nonlinear Schrödinger (CNLS) equations that can describe interactions of two Rossby waves propagating in stratified fluids. The (2+1)-dimensional equations can reflect and describe the wave propagation more intuitively and accurately. The properties of the two waves in the process of propagation can be analyzed by the solution obtained from the equations using the Hirota bilinear method, and the influence factors of modulational instability are analyzed. The results suggest that, when two Rossby waves with slightly different wave numbers propagate in the stratified fluids, the intensity of bright soliton decreases with the increases of dark soliton coefficients. In addition, the size of modulational instable area is related to the amplitude and wave number in y direction.  相似文献   

14.
By means of a dynamic Bragg grating obtained through cross-phase modulation with a beating wave in a highly birefringent fiber, we perform a detailed experimental study of Bragg modulational instability.  相似文献   

15.
Thanks to a passive cavity configuration, modulational instability in fibers is successfully observed, for the first time to our knowledge, in the continuous-wave regime. Our technique provides a new means of generating all-optically ultrahigh-repetition-rate pulse trains and opens up new possibilities for the fundamental study of modulational instability and related phenomena.  相似文献   

16.
Theory and experiments show that the nonlinear development of the modulational polarization instability of an intense light beam in a normally dispersive, low-birefringence optical fiber leads to ultrashort dark-soliton-like trains with repetition rates in the terahertz range in the polarization orthogonal to the pump.  相似文献   

17.
Millot G 《Optics letters》2001,26(18):1391-1393
Theoretical and experimental results are presented that illustrate efficient generation of new optical frequencies by means of induced modulational instability in birefringent fibers for an initially highly phase-mismatched process. Modulational instability is assisted by multiple four-wave mixing interactions. This technique relaxes the strict spectral limitations imposed by the phase-matching conditions on the signal used for frequency conversion by means of modulational instability.  相似文献   

18.
R Ganapathy  V C Kuriakose 《Pramana》2001,57(4):743-754
We obtain conditions for the occurrence of polarization modulational instability in the anomalous and normal dispersion regimes for the coupled nonlinear Schrödinger equation modelling fourth order dispersion effects when the linearly polarized pump is oriented at arbitrary angles with respect to the slow and fast axes of the birefringent fiber.  相似文献   

19.
We study experimentally modulational instability in a normally dispersive bimodal fiber under modal group-velocity-matching conditions. In the strong pump depletion regime, higher order sideband harmonics detected in the output spectra as well as autocorrelation measurements reveal the formation of subpicosecond domain-wall structures. Across these temporal structures the electromagnetic field distribution switches abruptly between the two transverse modes of the fiber. These structures are reminiscent of the so-called domain-wall soliton. Our results constitute therefore an experimental indication of the existence of this fundamental soliton.  相似文献   

20.
The effective one-fluid adiabatic magnetohydrodynamic (MHD) equations for a multicomponent plasma comprising of electrons, ions, and dust are used to investigate the nonlinear coupling of dust Alfven and dust acoustic waves in the presence of radiation pressure as well as the Jean’s term that arises in a self-gravitating plasma. In this context, the set of Zakharov equations are derived. The soliton solutions in the presence of radiation pressure and Jeans term are separately discussed. It is found that ordinary solitons are obtained in the absence of Jeans term whereas cusp solitons are found in the absence of radiation pressure. To the best of our knowledge, cusp solitons are obtained for the first time for a self-gravitating plasma with Jeans term for an electromagnetic wave in a dusty plasma. The modulational instability is also investigated in the presence of radiation pressure and Jeans term. It is found that the Jeans term drives the system modulationally unstable provided it dominates the dust acoustic and radiation pressure terms whereas the radiation pressure enhances the stability of the system. The relevance of the present investigation in the photodissociation region that separates the HII region from the dense molecular clouds is also pointed out.  相似文献   

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