Kerr非线性对一维光子晶体能带的影响

研究Kerr非线性对一维光子晶体的能带的影响.光子晶体中加入Kerr非线性材料后，光子晶 体的带边可随局部光强调制.由于带边随光强变化，线性光量子阱中的电磁本征模将进入线 性带隙的频率范围而形成孤子类电磁模.由于非线性的作用，带隙中有许多新的孤子模出现. 关键词： 光子晶体 Kerr非线性 带隙孤子     

Stokes eigenmodes in square domain and the stream function–vorticity correlation

The Stokes eigenmodes in the square are numerically determined and their symmetry properties are identified. The spectra evolution laws are in excellent qualitative agreement with the theoretical asymptotic predictions proposed by Constantin and Foias (in “Navier–Stokes equations”, University of Chicago Press, 1988), . The slopes are reported here and are found to be specific to the eigenmodes symmetry family. The dynamic equilibria are analyzed and show a linear relationship between the vorticity and the stream function in the core of the eigenmodes. These features of the Stokes eigenmodes confined in the square are shared by the fully periodic Stokes eigenmodes.     

QGP Kinetic Equations Beyond the Linear Response Theory

It is shown that the non-Abelian properties? of QGP can be got by studying the kinetic equations for QGP beyond the linear response theory. The non-Abelian interaction of the eigenmodes in QGP is found and two quantities describing the non-Abelian properties of QGP are given.     

Statistics of the Jones matrix of fibers affected by polarization mode dispersion

We carry out a statistical characterization of Jones matrix eigenvalues and eigenmodes to gain deeper insight into recently proposed fiber models based on Jones matrix spectral decomposition. A set of linear dynamic equations for the Pauli coordinates of the Jones matrix is established. Using stochastic calculus, we determine the joint distribution of the retardation angle of the eigenmodes and, indirectly, their autocorrelation function. The correlation bandwidth of the eigenmodes is found to be radical2/3 that of the polarization mode dispersion vector. The results agree well with simulations performed with the standard retarded plate model.     

Generation of waves by a neutron beam in a two-component system formed by charged particles of nonzero spin

Dispersion relations for linear waves in amedium formed by electrons and ions and traversed by a beam of neutrons whose velocity has a nonzero constant component are derived by methods of quantum hydrodynamics. It is shown that, along with stable eigenmodes, vibrational excitations growing with time can be generated in the system owing to the interaction of spin components.     

Linear Analyses of Langmuir and EM Waves in Relativistic Hot Plasmas

The linear Langmuir and electromagnetic (EM) waves in relativistic hot plasmas are discussed, and the dispersion relations are obtained based on the covariant Maxwell's and fluid equations. When kBT/mc²>1, the effective mass of electrons will be increased obviously. As the results, many other influences are induced, such as the decrease of the plasmas frequency and the critical frequency, the reduction of the electron sound velocity and the electrons' oscillation velocity, and so on. Numerical results show that these influences can affect the dispersion relations of Langmuir and EM waves seriously even in linear regime.     

New Alfven continuum gaps and global modes induced by toroidal flow

Continuous magnetohydrodynamic (MHD) spectra in tokamaks with toroidal rotation are studied. In the corotating frame, the linear perturbations experience Coriolis and centrifugal effects. The latter create Alfven frequency gaps on rational surfaces resonant with the perturbations. New global eigenmodes are located inside these gaps. These modes may be used for MHD spectroscopy. In contrast to the usual gaps and toroidal Alfven eigenmodes, the new flow-induced gaps and global modes are in the low frequency range so that they will have important implications for stability as well.     

New ion-wave path in the energy cascade

We present the results of kinetic numerical simulations that demonstrate the existence of a novel branch of electrostatic nonlinear waves driven by particle trapping processes. These waves have an acoustic-type dispersion with phase speed comparable to the ion thermal speed and would thus be heavily Landau damped in the linear regime. At variance with the ion-acoustic waves, this novel electrostatic branch can exist at a small but finite amplitude even for low values of the electron to ion temperature ratio. Our results provide a new interpretation of observations in space plasmas, where a significant level of electrostatic activity is observed in the high frequency region of the solar-wind turbulent spectra.     

Laguerre and Hermite soliton clusters in nonlocal nonlinear media

We introduce novel classes of higher-order spatial optical solitons in analogy with Laguerre-Gaussian and Hermite-Gaussian linear eigenmodes. We reveal that stable higher-order optical solitons can exist in nonlocal nonlinear media in the various forms of soliton necklaces and soliton matrices. Modulational instability can lead to nontrivial transformations between energetically close solitons with different symmetries through the intermediate states resembling generalized Hermite-Laguerre-Gaussian modes.     

Dielectric properties of ice and liquid water from first-principles calculations

We present a first-principles study of the static dielectric properties of ice and liquid water. The eigenmodes of the dielectric matrix E are analyzed in terms of maximally localized dielectric functions similar, in their definition, to maximally localized Wannier orbitals obtained from Bloch eigenstates of the electronic Hamiltonian. We show that the lowest eigenmodes of E (-1) are localized in real space and can be separated into groups related to the screening of lone pairs, intra-, and intermolecular bonds, respectively. The local properties of the dielectric matrix can be conveniently exploited to build approximate dielectric matrices for efficient, yet accurate calculations of quasiparticle energies.     

Self-similar signature of the active solar corona within the inertial range of solar-wind turbulence

We quantify the scaling of magnetic energy density in the inertial range of solar-wind turbulence seen in situ at 1 AU with respect to solar activity. At solar maximum, when the coronal magnetic field is dynamic and topologically complex, we find self-similar scaling in the solar wind, whereas at solar minimum, when the coronal fields are more ordered, we find multifractality. This quantifies the solar-wind signature that is of direct coronal origin and distinguishes it from that of local MHD turbulence, with quantitative implications for coronal heating of the solar wind.     

Second-order grazing-angle scattering in uniform wide holographic gratings

Grazing-angle scattering (GAS) is a type of Bragg scattering in slanted wide periodic gratings. It occurs when the diffracted order satisfying the Bragg condition (scattered wave) propagates at a grazing angle to the grating boundaries. Previous research has been concerned only with first-order GAS, which has been shown to be a highly unusual type of scattering characterised by a strong resonant increase of amplitudes of the scattered and incident waves in the grating. In this paper, a rigorous numerical study of second-order GAS is presented for the case of bulk TE electromagnetic waves in planar holographic gratings. A highly unusual pattern of strong resonances in the grating, which is strongly different from that for first-order GAS, is predicted, described, and discussed. Physical interpretations of the predicted results are presented. In particular, a special new type of eigenmodes in a slanted wide periodic grating with large amplitude is predicted. These eigenmodes are shown to be guided by the grating alone without any conventional guiding effect in the structure. The typical field structure in such eigenmodes is investigated and discussed. Received: 16 September 2002 / Revised version: 4 November 2002 / Published online: 22 January 2003 RID="*" ID="*"Corresponding author. Fax: +61-7/3864-9079, E-mail: d.pile@osa.org     

Transformation of waves and eigenoscillations of an inhomogeneous layer of hot plasma

On the case of a plasma layer we show that in a hot plasma with the inhomogeneity of density across the magnetic field there exist eigenmodes for frequencies of hybrid resonance that are combinations of two kinds of waves: The potential long waves of cold plasma and the short-wave Bernstein modes. Their coupling is due to transformation in the region of the hybrid resonance. These eigenmodes can also be travelling waves with energy transmitted in one direction by a long wave and in the opposite one by a short wave. Different types of eigenmodes and corresponding quantization conditions are obtained.     

What is the role of chaotic scattering in irreversible processes?

We study kinetic properties of simple mechanical models of deterministic diffusion like the scattering of a point particle in a billiard of Lorentz type and the multibaker area-preserving map. We show how dynamical chaos and, in particular, chaotic scattering are related to the transport property of diffusion. Moreover, we show that the Liouvillian dynamics of the multibaker map can be decomposed into the eigenmodes of diffusive relaxation associated with the Ruelle resonances of the Perron-Frobenius operator.     

Lower hybrid resonance at low collision frequencies

For low collision frequencies the power transfer to a plasma in the domain of the lower hybrid resonance is measured under linear conditions. Geometrical resonances due to radial eigenmodes are observed to be strongly suppressed as compared to theoretical expectations.     

Frustration of Bragg reflection by cooperative dual-mode interference: a new mode of optical propagation

A new optical mode of propagation is described, which is the natural eigenmode (supermode) of a fiber (or any optical waveguide) with two cospatial periodic gratings. The mode frustrates the backward Bragg scattering from the grating by destructive interference of its two constituent submodes (which are eigenmodes of a uniform waveguide). It can be used in a new type of spatial mode conversion in optical guides.     

Role of spatial mode function in the presence of two-atom events in a micromaser

In this paper, we discuss the effects of spatial mode function in an one-photon micromaser in the presence of two-atom events. It is shown that two-atom events allow us a possibility to study the effects of different cavity eigenmodes in a micromaser. We find that squeezing properties of the radiation field depend upon the parity (odd or even) and order (lower or higher) of cavity eigenmodes. For example, squeezing can be obtained for odd-order cavity eigenmodes which completely vanishes for even-order modes. Our results also show that effects similar to self-induced transparency are never obtained in the presence of two-atom events. Finally, we consider the effect of pump fluctuations and cavity losses in our system.     

Solar-wind controlled pulsations at low latitudes

Summary Past observations and present models of the solar-wind controlled dayside Pc 3-Pc 4 pulsations are reviewed. A year-long comparison between solar-wind parameters obtained from IMP-8 and micropulsation measurements made at L'Aquila is presented. This study shows that at low latitudes the relationship between the two phenomena is more clear than at high latitudes. In particular, in agreement with the upstream-wave source mechanism, different frequency regimes of pulsations can be related to different regions of the high-velocity streams. Some examples of spectacular wave trains, with unusual amplitude and period, occurred during the strong geomagnetic storm of March 13, 1989 are also presented. Paper presented at the V Cosmic Physics National Conference, S. Miniato, November 27–30, 1990.     

3/2omega0 radiation from the laser-driven two-plasmon decay instability in an inhomogeneous plasma

We present the results of the first reduced model simulations of the nonlinear development of the two-plasmon decay instability in an inhomogeneous plasma, including properties of the 3/2 harmonic emission. A sharp increase in radiation and Langmuir turbulence fluctuation levels occurs above a threshold laser intensity that depends on initial fluctuation levels. We study the competition between the linear propagation of Langmuir waves in the density gradient and the nonlinear saturation due to the Langmuir decay instability. The secondary decay Langmuir waves can provide the dominant source of the radiation and are essential to explain experiments.     

Entangled photon pairs produced by a quantum dot strongly coupled to a microcavity

We show theoretically that entangled photon pairs can be produced on demand through the biexciton decay of a quantum dot strongly coupled to the modes of a photonic crystal. The strong coupling allows us to tune the energy of the mixed exciton-photon (polariton) eigenmodes and to overcome the natural splitting existing between the exciton states coupled with different linear polarizations of light. Polariton states are moreover well protected against dephasing due to their lifetime of ten to a hundred times shorter than that of a bare exciton. Our analysis shows that the scheme proposed is achievable with the present technology.