双面菲涅耳聚光镜设计

为了减小光伏发电聚光系统的轴向尺寸,使聚光系统的厚度更薄、质量更轻,讨论设计了一种透射式双面菲涅耳聚光镜。通过设计,使光线在通过双面菲涅耳聚光镜的前表面环带后进入相应的后表面环带,减少了光能损失,使太阳能电池获得的能量密度更高。推导并给出了双面菲涅耳透镜的后表面环带设计公式。用光学设计软件Light Tools模拟了双面菲涅耳聚光镜的光学能力,并对模拟结果进行了分析评价。给出了一个口径为200 mm,焦距为120 mm,F数为0.6的双面菲涅耳聚光镜设计实例,在波段为380~760 nm,太阳张角为0.55°时,聚光系统的聚光效率达到85%,与相同口径相同焦距的传统菲涅耳透镜相比,聚光效率提高了21.1%。     

室内可见光通信系统中菲涅尔透镜接收天线的设计研究

针对基于白光LED室内可见光无线光通信技术的应用需求, 设计了等齿距平面菲涅尔透镜. 相比常规透镜光接收天线, 菲涅尔透镜具有聚焦能力强、焦距短、透镜厚度薄、重量轻、成本低等优点. 利用Trace pro软件对设计进行了模拟仿真, 分析了透镜不同设计参数对接收天线光学增益、光学效率及光斑尺寸的影响, 讨论了透镜在平行光斜入射时的会聚情况. 结果表明, 平面点聚焦菲涅尔透镜的光学效率可达92.1%, 适用于小视场、高增益接收光学系统前端.     

Ray tracing method with Fresnel’s transmission to calculate polarized radiation power distribution focused by a terahertz Silicon lens antenna

We study a method for simulating a power-flow density distribution of terahertz-wave focused by a hemispherical Silicon lens antenna. A regular ray-tracing method is not enough to evaluate a correct radiation power-flow because it does not take into account transmittances dependent on angles of incidence at different positions on the spherical boundary of the Si-lens. In this study, we propose a ray-tracing method including Fresnel’s transmission coefficients on the surface of a Si-lens for incoming polarized rays. The power-flow-density distribution calculated by the proposed method has a good agreement except for interference and diffraction with the result obtained by an electromagnetic wave simulator. Our method is so simple and reliable that it is useful for designing and evaluating THz optical systems using dielectric lens antennas.     

Motion of spiral waves in the complex Ginzburg-Landau equation

Solutions of the general cubic complex Ginzburg-Landau equation comprising multiple spiral waves are considered. For parameters close to the vortex limit, and for a system of spiral waves with well-separated centres, laws of motion of the centres are found which vary depending on the order of magnitude of the separation of the centres. In particular, the direction of the interaction changes from along the line of centres to perpendicular to the line of centres as the separation increases, with the strength of the interaction algebraic at small separations and exponentially small at large separations. The corresponding asymptotic wavenumber and frequency are determined. These depend on the positions of the centres of the spirals, and so evolve slowly as the spirals move.     

功放输出功率、电压、电流和阻抗的计算

在电磁兼容抗扰度测试应用中,通常总是存在负载阻抗失配的问题。此时,放大器设计需要采取适当的保护措施,使得放大器可以承受高驻波比的工作条件,同时输出需要的功率。在这种实际工况下,应用欧姆定律和最大功率法则计算功放输出功率、电压和电流的前提是要考虑放大器的保护措施对功率的影响、负载失配时输出功率的反射。     

Departure from the law of rectilinear diameters for fluids Rb and Cs with delocalized electrons

Terekhov has recently presented a phenomenological model to describe the liquid-vapour critical point. While Terekhov's model embraces a number of equations of state, including both Van der Waals and Dieterici, it leads to the Law of Rectilinear Diameters (LRD). This restricts the applicability to insulating fluids such as Ne and Ar. For the heavy alkalis, Rb and Cs, with delocalized electrons, there are substantial departures from the LRD, which may be due to long-range polarization interaction between the metallic ions.     

Velocity and Lyapounov exponents of some random walks in random environment

We express the asymptotic velocity of random walks in random environment satisfying Kalikow's condition in terms of the Lyapounov exponents which have previously been used in the context of large deviations.     

显微数字全息中物光波前重建方法研究和比较

根据全息理论和线性系统理论,采用离轴无透镜傅里叶变换全息记录光路,对利用菲涅耳近似法、基于瑞利—索末菲衍射积分的卷积法以及角谱理论方法数值重建全息图进行了比较研究,并做了计算机模拟验证.结果表明：菲涅耳近似法和角谱方法重建像质比较好,且菲涅耳方法重建速度快;在记录距离极小的情况下,尽管记录距离不满足通常的菲涅耳近似条件,菲涅耳近似公式仍然成立;自由空间脉冲响应的快速傅里叶变换的性质与距离有关,由卷积方法得到的再现像只在某一特定距离下比较理想;对于极小物场、大孔径显微数字全息来说,菲涅耳近似重建方法是较为有效的方法.     

双Wollaston棱镜光强分束比研究

利用折射定律和菲涅耳公式,研究了双Wollaston棱镜的光强分束比随入射光波长、棱镜结构角以及入射角等参量的变化关系,并进行了实验验证.结果表明：光强分束比随入射光波长的增大呈线性递减趋势;棱镜的结构角越小,光强分束比也越接近1;入射角对光强分束比的影响基本呈二次曲线型变化;当光正入射时,光强分束比最接近于1.给出了理论曲线和实验值的对比.     

菲涅耳近似对硬边光阑衍射光束的适用性

使用基尔霍夫衍射积分公式和菲涅耳衍射积分公式对高斯光束通过方孔光阑的衍射进行了研究。给出了详细的数值计算结果并作了比较。研究表明,对一给定的束腰宽度w0,当w0远大于波长λ时,菲涅耳衍射的有效范围与截断参数δ有关;若w0与λ可比拟甚至更小时,则必须使用基尔霍夫衍射积分公式。