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71.
We show in the framework of the 1D nonlinear Schr?dinger equation that the value of the refraction angle of a fundamental soliton beam passing through an optical lattice can be controlled by adjusting either the shape of an individual waveguide or the relative positions of the waveguides. In the case of the shallow refractive index modulation, we develop a general approach for the calculation of the refraction angle change. The shape of a single waveguide crucially affects the refraction direction due to the appearance of a structural form factor in the expression for the density of emitted waves. For a lattice of scatterers, wave-soliton interference inside the lattice leads to the appearance of an additional geometric form factor. As a result, the soliton refraction is more pronounced for the disordered lattices than for the periodic ones. 相似文献
72.
Vasilyev S Schiller S Nevsky A Grisard A Faye D Lallier E Zhang Z Boyland AJ Sahu JK Ibsen M Clarkson WA 《Optics letters》2008,33(13):1413-1415
A narrow-linewidth mid-IR source based on difference-frequency generation of an amplified 1.5 microm diode laser and a cw Tm-doped fiber laser in orientation-patterned (OP) GaAs has been developed and evaluated for spectroscopic applications. The source can be tuned to any frequency in the 7.6-8.2 microm range with an output power of 0.5 mW. The measured characteristics of the OP-GaAs sample demonstrate a high quality of the material. 相似文献
73.
In this paper, we identify q-deformed
\mathfrakgll+1{\mathfrak{gl}_{\ell+1}}-Whittaker functions with a specialization of the Macdonald polynomials. This provides a representation of q-deformed
\mathfrakgll+1{\mathfrak{gl}_{\ell+1}}-Whittaker functions in terms of the Demazure characters of affine Lie algebra
[^(\mathfrakgl)]l+1{\widehat{\mathfrak{gl}}_{\ell+1}}. We also define a system of dual Hamiltonians for q-deformed
\mathfrakgll+1{\mathfrak{gl}_{\ell+1}}-Toda chains and give a new integral representation for the q-deformed
\mathfrakgll+1{\mathfrak{gl}_{\ell+1}}-Whittaker functions. Finally, we represent the q-deformed
\mathfrakgll+1{\mathfrak{gl}_{\ell+1}}-Whittaker function as a matrix element of a quantum torus algebra. 相似文献
74.
75.
The electrochemical reduction of nitric oxide in the presence of the excess oxygen was reviewed. It was shown that the selectivity
and activity of the cathodes is strongly dependent on the composition and on the microstructure of the cathode material. A
concept of electrochemical reactor with multilayer electro-catalytic electrode was proposed and successfully designed in Advanced
Manufacturing Research Institute, National Institute of Advanced Industrial Science and Technology (AIST), Nagoya, Japan.
The typical values of current efficiency in such electrochemical reactors are of the order of 10–20% at gas composition: 1,000 ppm
NO and 2% O2 balanced in He and at gas flow rate 50 ml/min. The value of current efficiency depends on the functional multi-layer electrode
composition, structure, and operating temperature. Such electrochemical reactors show the value of NO/O2 selectivity (ν
sel) higher than 5 (ν
sel > 5) at intermediate temperature and up to ν
sel = 25 at low temperature operation. It was shown that multilayer electro-catalytic electrode should consist at list from three
main functional layers: cathode, electro-catalytic electrode, covering layer, in order to operate as an electrode with high
selectivity. 相似文献
76.
We study the three-dimensional forced-dissipated Gross-Pitaevskii equation. We force at relatively low wave numbers, expecting to observe a direct energy cascade and a consequent power-law spectrum of the form k−α. Our numerical results show that the exponent α strongly depends on how the inverse particle cascade is attenuated at ks lower than the forcing wave-number. If the inverse cascade is arrested by a friction at low ks, we observe an exponent which is in good agreement with the weak wave turbulence prediction k−1. For a hypo-viscosity, a k−2 spectrum is observed which we explain using a critical balance argument. In simulations without any low k dissipation, a condensate at k=0 is growing and the system goes through a strongly turbulent transition from a 4-wave to a 3-wave weak turbulence acoustic regime with evidence of k−3/2 Zakharov-Sagdeev spectrum. In this regime, we also observe a spectrum for the incompressible kinetic energy which formally resembles the Kolmogorov k−5/3, but whose correct explanation should be in terms of the Kelvin wave turbulence. The probability density functions for the velocities and the densities are also discussed. 相似文献
77.
Andreas Zerr Nikolay Chigarev Ovidiu Brinza Sergey M. Nikitin Alexey M. Lomonosov Vitalyi Gusev 《固体物理学:研究快报》2012,6(12):484-486
The elastic moduli of the dense polycrystalline oxygen‐bearing η‐Ta2N3, a novel hard and tough high‐pressure (HP) material, were measured using the laser ultrasonic technique. The bulk modulus was determined to be B0 = 281(15) GPa which is only ~11% below that from HP compression measurements. Our value of the shear modulus G0 = 123(2) GPa is below those ones predicted theoretically for model structures. The discrepancies in G0 could be due to a substitution of an‐ ions and the formation of cation vacancies in η‐Ta2N3. Self‐healing behaviour of η‐Ta2N3 by mechanical polishing was observed and confirmed by two independent experimental methods. (© 2012 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
78.
79.
We split the generic conformal mechanical system into a “radial” and an “angular” part, where the latter is defined as the Hamiltonian system on the orbit of the conformal group, with the Casimir function in the role of the Hamiltonian. We reduce the analysis of the constants of motion of the full system to the study of certain differential equations on this orbit. For integrable mechanical systems, the conformal invariance renders them superintegrable, yielding an additional series of conserved quantities originally found by Wojciechowski in the rational Calogero model. Finally, we show that, starting from any N=4 supersymmetric “angular” Hamiltonian system one may construct a new system with full N=4 superconformal D(1,2;α) symmetry. 相似文献
80.
Sergey V. Ivanov Oleg G. Buzykin 《Journal of Quantitative Spectroscopy & Radiative Transfer》2010,111(15):2341-2353
Accuracies of classical, semiclassical and quantum methods are comprehensively examined in calculations of impact line widths of C2H2 molecules perturbed by Ar and He. The field of comparative study covers both infrared absorption and Raman scattering lines of acetylene having rotational quantum number J=0-30 at temperatures 173 and 296 K. Calculations have been made by fully classical method and by three basic least approximate semiclassical methods, namely, Neilsen-Gordon (NG) method, peaking approximation (PA) and Smith-Giraud-Cooper (SGC) method. Most accurate ab initio potential energy surfaces (PES) of Yang et al. (1996) [21] and Mozsynski et al. (1995) [22] have been applied to model C2H2-Ar and C2H2-He interactions. The comparison has been made also with available experimental data and with the results of rigorous fully quantum-mechanical calculations within close coupling and coupled states approaches in identical conditions. Semiclassical methods are proved to be not so much accurate as it is generally believed since all they gave in the cases considered seriously underestimated results. The fundamental issue of the adequacy of simplified trajectories in collision broadening calculations is finally reasonably solved. In cases of C2H2-Ar and C2H2-He systems the use of the “exact” isotropic trajectories (i.e. driven only by the isotropic part of PES) is the main reason of failing of NG, PA and SGC methods. Thus the neglecting of back-influence of the RT exchange on the classical path is a principal defect of semiclassical methods. Finally, the application of simplified trajectories is recognized as inadequate and risky in broadening calculations for molecules having relatively small rotational constants when accurate ab initio PES are applied. 相似文献