三角形折射率剖面光纤一级修正解的数值计算

在弱波导近似下,用标量Helmholtz方程的解作为零级近似解,考虑了折射率梯度的影响,把∇ε项看作微扰项,用微扰法给出了具有色散位移特性的三角形折射率剖面单模光纤一级修正解的积分表达式,并给出了数值计算结果.原则上,该方法亦可用于多模光纤.     

容器壁厚度对光栅衍射法测量液体折射率的影响

利用光栅衍射法测量了NaCl溶液的折射率,并分析了容器壁厚度引起的附加光程对折射率的影响.采用折射率修正公式运用一级衍射得到的溶液的折射率更可靠.     

用作VISAR窗口的LiF晶体折射率变化修正因子

 利用加窗VISAR测速方程和平面碰撞实验产生已知样品-窗口界面粒子速度的方法，对LiF晶体用作VISAR（激光波长532 nm）测速窗口时的折射率变化修正因子进行了测定。给出了LiF晶体窗口在冲击压力2.7~66 GPa范围内，折射率变化修正因子测量结果及界面粒子速度修正方法。     

利用SPR效应测定可见光波段金膜折射率

利用金膜光纤SPR传感器测定标准试剂折射率,实现了对金膜折射率的测试.给出金膜光纤SPR传感器总反射系数与金膜折射率等参量关系表达式.采用经典金膜折射率计算结果与试验结果相比具有相当差距.为此采用一组标准试剂进行试验,对测试数据进行计算,修正了可见光波段金膜的折射率.     

动量表象中氦原子微扰论的计算

根据微扰论,在动量表象中讨论了三维和二维氦原子两电子体系基态能级一级修正的表达式.对于推广的两电子二体作用势,给出了基态能级一级修正的值.     

LiF单晶的高压折射率及窗口速度的修正

通过平板撞击实验,采用激光干涉测试技术,研究了1 550nm波长下LiF单晶的高压折射率与窗口速度的修正关系,实验压力范围为38~124GPa,拓展了现有1 550nm波长下LiF单晶的高压折射率数据,给出了124GPa压力范围内1 550nm波长下LiF窗口速度的线性修正方程。研究结果可为分析冲击压缩实验中通过加窗激光多普勒探针测试技术获得的样品界面速度的数据提供参考。     

光学玻璃折射率精密测量中环境条件修正公式的研究

该文指出了在光学玻璃折射率测量中目前使用的气压修正公式在折射率精密测量中的不适应与缺陷。并从空气折射率的最新计算公式入手,着重研究和提出了新的环境条件修正公式。指出在不同测试精度和不同测试条件下应采用不同的修正公式。     

关于镀膜长周期光纤光栅“模式转换”的新认识

依据包层模有效折射率的概念及包层模场的光功率密度分布,重新审视了镀膜长周期光纤光栅"模式转换"现象,对"模式转换"给出了新的物理图像.通过修正镀膜长周期光纤光栅包层模有效折射率的范围,指出有效折射率呈现的台阶式增长是各次包层模自身属性的反映,不存在高次模式替代低次模式的过程,并将"模式转换区"重命名为"模式垒区".通过分析包层模场的光功率密度分布,指出"模式转换区"较低次包层模式进入薄膜层传输说法的不合理性.研究表明,当薄膜厚度达到一定厚度时,包层模场光功率分布将愈加集中在薄膜层内部,但并非沿着薄膜层传输.讨论了镀膜长周期光纤光栅传感器薄膜参数优化的问题,在修正的包层模有效折射率范围和未修正的包层模有效折射率范围的情况下分别进行优化,并对优化结果进行比较,结果表明两种情况下的优化结果存在较大的偏差.从机理上解释了修正薄层模有效折射率范围后的优化结果的正确性,为设计高灵敏镀膜长周期光纤光栅传感器提供了新的理论指导.     

Ti：LiNdO3波导折射率的测量和在各个波长折射率的计算

钛扩散铌酸锂光波导是应用很广的一种光波导器件，知道铌酸锂扩散波导的有效折射率和扩散后表面折射率对于进一步设计波导和分析波导特性很有意义。本文用在0.6328μm可见光下测量波导的有效折射率，利用色散方程推导出铌酸锂波导在其它各个波长的折射率。介绍了通过z切的折射率修正到x切向下的折射率的方法，该方法可以推广到任意切向。此外，还给出了计算波导表面折射率方法，即可以计算出波导扩散后形成的最大折射率差。文中给出了在1.55μm下x切y传铌酸锂波导有效折射率的计算实例。     

一维氢原子的斯塔克效应

用定态微扰理论计算了一维氢原子在均匀外电场中的斯塔克效应,并给出了一级、二级能级修正的普遍公式。     

Quasinormal Modes of the Schwarzschild Black Hole Surrounded by the Quintessence Field in Rastall Gravity

The quasinormal modes of the Schwarzschild black hole surrounded by the quintessence in Rastall gravity are studied using the sixth-order Wentzel-Kramers-Brillouin approximative approach. The effect of the Rastall parameter on the quasinormal modes of gravitational, electromagnetic and massless scalar perturbations is explored. Compared to the case of Einstein gravity, it is found that, when η < 0, the gravitational field, electromagnetic field as well as massless scalar field damp more rapidly and have larger real frequency of oscillation in Rastall gravity, while when η > 0, the gravitational field, electromagnetic field as well as massless scalar field damp more slowly and have smaller real frequency of oscillation in Rastall gravity. It is also found that the gravitational field, electromagnetic field as well as massless scalar field damp more and more slowly and the real frequency of oscillation for the gravitational perturbation, electromagnetic perturbation as well as massless scalar perturbation becomes smaller and smaller as the Rastall parameter η increases. Compared among the quasinormal frequencies of gravitational, electromagnetic and massless scalar perturbations, I find that, for fixed η, (l, n), ∈ and N_q, the oscillation damps most slowly for the gravitational perturbation, mediate for the electromagnetic perturbation and most rapidly for the massless scalar perturbation, and the real frequency of oscillation is the smallest for the gravitational perturbation, mediate for the electromagnetic perturbation and the largest for the massless scalar perturbation in Rastall gravity.     

Inflation with hyperbolic potential in the braneworld model

In this paper we study inflationary dynamics with a scalar field in an inverse coshyperbolic potential in the braneworld model. We note that a sufficient inflation may be obtained with the potential considering slow-roll approximation in the high energy limit. We determine the minimum values of the initial inflaton field required to obtain sufficient inflation and also determine the relevant inflationary parameters. The numerical values of spectral index of the scalar perturbation spectrum are determined by varying the number of e-foldings for different initial values of the inflaton field. The result obtained here is in good agreement with the current observational limits.      

Wave dynamics of phantom scalar perturbation in the background of Schwarzschild black hole

Using Leaver's continue fraction and time domain method, we investigate the wave dynamics of phantom scalar perturbation in the background of Schwarzschild black hole. We find that the presence of the negative kinetic energy terms modifies the standard results in quasinormal spectrums and late-time behaviors of the scalar perturbations. The phantom scalar perturbation in the late-time evolution will grow with an exponential rate.     

Quasinormal modes and absorption of a massless scalar field for the magnetic Gauss–Bonnet black hole

We study the massless scalar quasinormal frequencies of an asymptotically flat static and spherically symmetric black hole with a nonzero magnetic charge in four-dimensional extended scalar-tensor-Gauss–Bonnet theory. The results show that the real part of the quasinormal frequency becomes larger and the imaginary part becomes smaller with increasing the magnetic charge or the angular harmonic index. The existence of magnetic charges will reduce the damping of scalar perturbation, but increase the frequency. We also study the absorption cross-section of the scalar field in this black hole. We find that its curve will become lower as the magnetic charge increases, i.e. the magnetic charge will weaken the absorption capacity of the black hole. Meanwhile, the high-frequency limit of the total absorption cross-section is just the area of black hole shadow.     

Zimmermann normal products and the Wilson expansion

The principal part and asymptotic form of the Wilson short distance expansion is derived in the framework of Bogoliubov-Parasiuk-Hepp-Zimmermann renormalized perturbation theory. Use is made of the Zimmermann normal product techniques with all work being performed in the scalar A⁴ model. The expansion of the product of four field operators is given as an explicit example.     

The cladded parabolic-index profile waveguide: analysis and application to stripe-geometry lasers

A two-dimensional real waveguide having a parabolic distribution of dielectric permittivity in the core region, flanked by cladding layers of constant refractive index is proposed as a model for a class of stripe-geometry injection lasers. The model is analysed by a series-solution method and results are given in terms of plots of normalized propagation constant, near-field filling factor, and far-field half-angle, all versus normalized frequency. These results are compared with those for the alternative models of (a) a homogeneous core waveguide, and (b) a medium whose dielectric permittivity varies quadratically with position throughout the whole of space.Apart from the series-solution method which was employed, a survey is included of other techniques available for analysing this waveguide model. These include perturbation theory, variational analysis, an exact solution of the scalar wave equation, and the WKB approximation.     

Cosmographic study of the universe’s specific heat: a landscape for cosmology?

Non-abelian gauge field inflation is studied in the context of warm inflation scenario. We introduce this scenario as a mechanism that gives an end for gauge-flation model. Slow-roll parameters and perturbation parameters are presented for this model. We find the general conditions which are required for this model to be realizable in slow-roll approximation. We also develop our model in the context of intermediate and logamediate scenarios which are exact solutions of inflationary field equation in the Einstein theory. General expressions of slow-roll parameters, tensor–scalar ratio and scalar spectral index are presented in terms of inflaton field for these two cases. Our model is compatible with recent observational data from Planck satellite.     

Anomalous scaling in helical turbulent environment

The influence of helicity on the anomalous scaling of the single-time structure functions of a passive scalar advected by a non-Gaussian velocity field driven by the stochastic Navier-Stokes equation is investigated by the field theoretic renormalization group and the operator-product expansion within the second order of the perturbation theory (two-loop approximation). The set of compositeoperators with the minimal critical dimensions is identified and their dependence on the helicity parameter is found. It is shown that the contribution to the critical dimensions of the structure functions of a passive scalar is given only by parts of the composite operators which are independent of the helicity parameter. Therefore, it is shown that the spatial parity violation has no impact on the anomalous scaling behavior of the passively advected scalar quantity in the turbulent environment.     

Novel theoretical constraints for color-octet scalar models

We study the theoretical constraints on a model whose scalar sector contains one color octet and one or two color singlet SU(2)L doublets. To ensure unitarity of the theory, we constrain the parameters of the scalar potential for the first time at the next-to-leading order in perturbation theory. Moreover, we derive new conditions guaranteeing the stability of the potential. We employ the HEPfit package to extract viable parameter regions at the electroweak scale and test the stability of the renormalization group evolution up to the multi-Te V region. Furthermore,we set upper limits on the scalar mass splittings. All results are given for both cases with and without a second scalar color singlet.