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1.
We investigate numerically the interaction between two light beams, initially monochromatic, during the excitation of solitary waves in quadratically non-linear media. We show that the result of the interaction is strongly dependent on soliton oscillations occurring during excitation, generating a new class of threshold phenomena. 相似文献
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Numerical differencing schemes are subject to dispersive and dissipative errors, which in one dimension, are functions of a wavenumber. When these schemes are applied in two or three dimensions, the errors become functions of both wavenumber and the direction of the wave. For the Euler equations, the direction of flow and flow velocity are also important. Spectral analysis was used to predict the error in magnitude and direction of the group velocity of vorticity–entropy and acoustic waves in the solution of the linearised Euler equations in a two‐dimensional Cartesian space. The anisotropy in these errors, for three schemes, were studied as a function of the wavenumber, wave direction, mean flow direction and mean flow Mach number. Numerical experiments were run to provide confirmation of the developed theory. Copyright © 2012 John Wiley & Sons, Ltd. 相似文献
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M. Fukui V.C.Y. So J.E. Sipe G.I. Stegeman 《Journal of Physics and Chemistry of Solids》1979,40(7):523-530
A theoretical treatment of the nonlinear mixing of two contra-directional surface plasmons of frequency ω1 and ω2 propagating on a semi-infinite metal surface is presented. The nonlinear interaction is analysed in terms of (a) nonlinear surface currents due to the breaking of inversion symmetry and the rapid variation of the normal electric field component at the surface, and (b) the nonlinear response of the electron gas in the bulk of the metal. These currents are treated as source terms for Maxwell's equations and electromagnetic fields are found which satisfy the driven wave equation and boundary conditions at the frequencies ω1 ± ω2. At the difference frequency ω1 ? ω2 the solution fields decay exponentially into both the air and the metal. However, at the sum frequency ω1 + ω2, coupling to transverse electromagnetic waves in both the air and the metal is predicted under appropriate wavevector and frequency conditions. The free-space radiation field is treated in detail and the feasibility of its experimental detection is discussed. No coupling to longitudinal bulk plasmons is predicted in this model of the nonlinear interaction. 相似文献
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Polyakov S Malendevich R Jankovic L Stegeman G Bosshard C Gunter P 《Optics letters》2002,27(12):1049-1051
The generation of multiple quadratic spatial solitons aligned approximately along a crystal axis in a biaxial noncritically phase-matched crystal is shown theoretically and experimentally to be the consequence of anisotropic diffraction. 相似文献
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Non phase-matched harmonic generation of surface plasmons has been analysed using total field solutions which satisfy the nonlinear current driven Maxwell's Equations and electromagnetic boundary conditions. The results are compared with a recent calculation by Mills. 相似文献
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Meier J Stegeman GI Christodoulides DN Morandotti R Salamo G Yang H Sorel M Silberberg Y Aitchison JS 《Optics letters》2005,30(23):3174-3176
We have observed the incoherent interaction between a highly confined (blocker) soliton and wide, moving signal beams of a different wavelength in a one-dimensional discrete Kerr medium. Digital switching of the blocker solitons to successive adjacent channels was measured with increasing signal power via both one and two cascaded interactions in an AlGaAs waveguide array, operations equivalent to a reconfigurable three-output router. 相似文献