On the far field in the Lorenz-Mie theory and T-matrix formulation

The far field within the context of the Lorenz-Mie theory and the T-matrix formulation is usually expressed on the basis of the asymptotic properties of vector spherical waves. The radiation condition is taken into account by employing proper vector spherical functions as the expansion basis of the scattered field. The asymptotic behavior of the Hankel function is obtained from differential equations. The asymptotic far field can also be obtained from the Kirchhoff surface integral equation, in which the radiation condition has been implemented when it is derived from the Maxwell equations. This note is to present an explicit establishment of the relationship between the asymptotic far field and the near field in the Lorenz-Mie theory and the T-matrix formulation through the Kirchhoff surface integral.     

Multiplicative non-Gaussian noise and additive Gaussian white noise induced transition in a piecewise nonlinear model

We study the transition problems in a piecewise nonlinear model induced by correlated multiplicative non-Gaussian noise and additive Gaussian white noise. Firstly, applying the path integral approach, the unified colored noise approximation, the analytical expression of the steady-state probability density function (SPD) is derived. Then the change regulation of the SPD is analyzed with the change of the strength and relevance of multiplicative noise and additive noise. From numerical computations we obtain some new nonlinear phenomena: the transition can be induced by the cross-correlation strength between noises, the non-Gaussian noise intensity and the Gaussian noise intensity as well as the non-Gaussian noise deviation parameter. This indicates that the effect of the non-Gaussian noise intensity on SPD is the same as that of the Gaussian noise intensity. Moreover, we also find the correlation time of the non-Gaussian noise can not induce the transition.     

Hierarchical Mn<Subscript>1.5</Subscript>Co<Subscript>1.5</Subscript>O<Subscript>4</Subscript> microspheres constructed from one-dimensional nanorods as high-performance anode material for lithium-ion battery

Mn_1.5Co_1.5O₄ hierarchical microspheres have been successfully synthesized via a solvothermal method and an annealing procedure. Mn_1.5Co_1.5O₄ exhibits advanced cycling performance, and it retains a reversible capacity of 633 mA h g^?1 at a current density of 400 mA g^?1 with a coulombic efficiency of 99.0% after 220 cycles. Its remarkable performance is attributed to the hierarchical structure assembled with nanorods, which increases the contact area between each nanorod and electrolyte. More significantly, the open space between neighboring nanorods and the pores on the surface of nanorods can improve Li⁺ ion diffusion rate. Furthermore, the nanorods have rapid one-dimensional Li⁺ diffusion channels, which not only possess a large specific surface area for high activity but accommodate the volume change during lithiation–delithiation processes. Therefore, Mn_1.5Co_1.5O₄ hierarchical microspheres can act as a promising alternative anode material for lithium-ion battery.     

Long lasting phosphorescent properties of Ti doped ZrO2

A novel long-lasting afterglow phosphor ZrO₂:Ti is prepared by the conventional solid-stated method and their luminescent properties are investigated. A bluish white strong and broad emissive band, which is attributed to originate from the recombination of electrons trapped by F⁺ centers and the holes created in Valence band, is observed under 254 nm UV irradiation. The identical color long afterglow, which lasts about 1 h, is found in the ZrO₂:Ti phosphor after removing the 254 nm UV light. The mechanism of the long lasting phosphorescence (LLP) has been discussed based on the thermoluminescence (TL) results. The replacement of Zr by Ti produces more anion vacancies, resulting in the enhanced photoluminescence (PL) and LLP of ZrO₂:Ti sample. These results indicate that ZrO₂:Ti phosphor has potential promising applications.     

Dynamically adjusting plasmon-induced transparency and slow light based on graphene meta-surface by bright–dark mode coupling

A graphene-based meta-surface structure consisting of middle strip and side rings is proposed, which can achieve plasmon-induced transparency (PIT) effects by bright–dark mode coupling. By properly adjusting geometry parameters of the meta-surface and gradually varying Fermi energy level of graphene, the PIT window can be actively tuned in a wide range of transmission spectra, allowing for dynamically tunable group delay of the incident light. In this letter, by changing geometry parameters, we find that the value of group delay of light becomes greater when the coupling strength becomes weaker. In other words, the less the transmittance of the PIT window is, the slower the speed of light is.     

Kerr property of cubic K0.95Li0.05Ta0.60Nb0.40O3 single crystal

The Kerr (quadratic electro-optic) property of K_0.95Li_0.05Ta_0.60Nb_0.40O₃ was measured by using an automated scanning Mach–Zehnder interferometer. K_0.95Li_0.05Ta_0.60Nb_0.40O₃ has large Kerr effect with R₁₁ = 7.2 × 10⁻¹⁶ m²/V² and R₁₂ = −1.2 × 10⁻¹⁶ m²/V² at 632.8 nm near its phase-transition temperature. The dielectric and Kerr properties as function of temperature were also investigated, thus the quadratic polarization-optic coefficients were calculated. The values of g₁₁ and g₁₂ are 0.083 m⁴/C² and −0.014 m⁴/C², respectively, and do not depend on temperature within the measurement accuracy of 5%.     

Effect of polyvinylpyrrolidone on the structure and laser damage resistance of sol–gel silica anti-reflective films

The effect of polyvinylpyrrolidone (PVP) on the structure and laser-induced damage threshold (LIDT) of sol–gel silica anti-reflective films is investigated. The results of dynamic light scattering, transmission electron microscopy, and small angle X-ray scattering, show that the PVP molecules surrounded the silica sol particles through the strong hydrogen bonds between Si-OH groups and the PVP. As a result, the growth of silica particles was restricted and thus the interface layer between the silica particles and the solvent become thickened with PVP content. Furthermore, the PVP reduced the porosity of the film, so the anti-reflection properties of the film were weakened. A multi-fractal analysis showed that the appropriate addition of PVP, 1 weight percent (wt%), could improve the surface fractal structure of the film, but that higher PVP content resulted in reduced surface uniformity. The addition of PVP lead to improved LIDT.     

基于偏振模式转换的声光陀螺研究

提出一种基于偏振模式转换的声光陀螺,分析其原理与结构并对该陀螺进行实验测试.静态测试结果表明,当声光作用长度为15 mm,声表面波输入功率为100 mW,频率为168.201 MHz时,偏振模式转化效率为80.02％.在偏置条件下进行旋转测试,得到输出电压随陀螺转速呈线性变化的曲线,其灵敏度约为1 mY/[(°)/s].偏振型声光陀螺保留声表面波陀螺体积小、成本低等优点,而在灵敏度上有大幅提高.