Theoretical study of the optical gain characteristics of a Ge1-xSnx alloy for a short-wave infrared laser

Optical gain characteristics of Ge_(1_x)Snμx are simulated systematically.With an injection carrier concentration of 5×10~(18)/cm~3 at room temperature,the maximal optical gain of Ge_(0.922)Sn_(0.078) alloy(with n-type doping concentration being 5×10~(18)/cm~3) reaches 500 cm~(-1).Moreover,considering the free-carrier absorption effect,we find that there is an optimal injection carrier density to achieve a maximal net optical gain.A double heterostructure Ge_(0.554)Si_(0.289)Sn_(0.157)/Ge_(0.922)Sn_(0.078)/Ge_(0.554)Si_(0.289)Sn_(0.157) short-wave infrared laser diode is designed to achieve a high injection efficiency and low threshold current density.The simulation values of the device threshold current density J_(th)are 6.47 kA/cm~2(temperature:200 K,and λ=2050 nm),10.75 kA/cm~2(temperature:200 K,and λ=2000 nm),and23.12 kA/cm~2(temperature:300 K,and λ=2100 nm),respectively.The results indicate the possibility to obtain a Si-based short-wave infrared Ge_(1-x)Sn_x laser.     

二维六角晶体材料中的Dirac 电子

本文综述由碳、硅、硼氮和二硫化钼等单元素或双元素构成的二维六角晶体材料中Dirac 电 子的研究成果与最新进展。文章从引言开始,接着介绍这些二维六角晶体材料的空间结构和基本 电子性质;然后探讨外场调控下这些材料在能谱和光吸收、量子输运、激子凝聚和热Josephson 效 应,以及拓扑量子相变等方面所表现出来的新奇的物理现象、简要的理论处理和可能的应用前景; 最后给出二维六角晶体材料相关研究的总结和展望。谨以本文献给南京大学建立物理学科100 周 年。     

Optical Performance of N-Face A1GaN Ultraviolet Light Emitting Diodes

The optical property and injection efficiency of N-face A1GaN based ultraviolet light emitting diodes （UV-LEDs） are studied and compared with Ga-face A1GaN based UV-LEDs. A staircase electron injector is introduced in the N-face AIGaN based UV-LED. The electroluminescence spectra, power-current performance curves, energy band diagrams, carrier concentration and radiative recombination rate are numerically calculated. The results indicate that the N-face UV-LED has a better optical performance than the Ga-face UV-LED, and the injection efficiency is enhanced owing to the fact that the staircase electron injector is available for UV-LEDs.     

复杂通信网络的结构分解法及其在可靠性分析中的应用

对复杂通信网络拓扑结构的恰当描述与刻画是研究其可靠性及确定信号流在其中有效的传输方式的前提。通过引进适当的数据结构并采用递归分解的技巧，本给出了将任意复杂通信网络分解为环、弦、链等基本网络结构的某种组合与连接的结构分解法，并由此得到了研究网络可靠性的新的两阶段法，即先分析各基本结构的可靠性，再由此给出原网络可靠性的估计。     

美式回望期权定价问题的有限体积法

随着金融市场的不断发展, 期权作为一种能够规避风险的金融衍生产品越来越引起投资者的青睐, 成交量呈逐年上升的趋势, 期权定价问题已经成为金融数学领域中一个重要的研究课题. 本文主要研究Black-Scholes模型下美式回望期权定价问题的数值解法. 美式回望期权定价问题是一个二维非线性抛物问题, 难以直接应用数值方法进行求解. 通过分析该问题的求解难点, 本文给出解决该困难的有效方法. 首先利用计价单位变换将定价问题转换为一维自由边值问题, 并采用Landau's变换将求解区域规范化; 而后针对问题的非线性特点,利用有限体积法和Newton法交替迭代求解期权价格和最佳实施边界, 并对数值解的非负性进行了分析. 最后, 通过与二叉树方法进行比较, 验证了本文方法的正确性和有效性, 为实际应用提供了理论基础.     

Optical sensing characteristics of the photonic crystal fiber filled with magnetic fluid

A novel photonic crystal fiber sensing theory filled with magnetic fluid is proposed based on the change of the MF refractive index under varied magnetic field. The magnetically induced tuning of the magnetic fluid filled PCF propagation properties were investigated by the full-vector finite element method with a perfectly matched layer. Theoretical calculations show that both the effective refractive index and the effective mode area increase vs. the increased magnetic field, and the PCF filled MF with larger d/Λ is more sensitive to magnetic field. When the wavelength λ = 1550 nm, the duty ratio d/Λ = 0.9, d/Λ = 0.6, the effective refractive indexes increase respectively from 1.598279 to 1.617572, from 1.61948 to 1.632484, and the effective mode areas increase respectively from 3.561115 μm² to 7.052360 μm², from 6.167494 μm² to 37.221998 μm² as the magnetic field changes from 25 Oe to 175 Oe. This scheme provides theoretical foundation to use magnetic field to control light in photonic crystal fiber and also offers a potential method for magnetic field sensing based on the TIR-PCF.     

大气激光通信中的偏振调制性能

为充分证明偏振移位键控可有效抑制大气湍流等因素的影响这一观点,对目前大气激光通信系统中广泛采用的几种强度调制和偏振移位键控技术进行详细的分析研究,从各调制方式的功率利用率、带宽需求、传输容量以及差错性能几个方面进行对比。研究结果表明,各调制方式各有千秋,不能一概而论。综合各方面性能考虑,偏振移位键控较其他几种强度调制方式更具优越性,其具有最大传输容量、最小的带宽需求和接收误码率。由此可见,偏振调制方式更适合应用于大气激光通信。     

关于一阶剪切板的Kármán型精化理论

依据Mindlin_Reissner理论 ,着重研究一阶剪切板的K rm n型精化理论 ,并推导出仅以挠度和应力函数为未知变量的广义K rm n型大挠度方程 ,适用于复合材料上复合构造剪切板的非线性分析·　在当前板的精化理论中 ,消去的两个转角以隐含形式作用于板的整体变形·　这一工程理论适用于各种计及横向剪切复合材料板、正交各向异性中厚板和夹层板等的线性和非线性分析·　容易发现 ,针对具体的工程应用 ,由该方程可直接获得相应的退化形式 ,并且与文献所载的一致·     

灰色预测模型在汇率分析中的应用

首先建立IM（1,1）预测模型,在此基础上再使用马尔科夫预测方法,构造出一种全新的预测方法,应用于汇率的预测与控制中。     

基于四波混频的光纤非线性系数测量方法

为解决四波混频法测量光纤非线性系数未考虑泵浦消耗而导致结果不准确的问题,提出了一种在简并四波混频情况下测量非线性系数的方法.根据光纤中简并的四波混频理论,推导出了考虑泵浦消耗和光纤损耗的椭圆方程.通过设定数值计算所需的各个参量并利用简单的数学方法分析了计入泵浦消耗、光纤损耗的必要性,得到被测光纤的非线性系数,与Optisystem的仿真结果一致.研究表明,这种改进的测量方法不但适用于小信号情形下的四波混频过程,还可以应用于出现参量饱和现象的场合,为进一步设计光纤2R再生器件提供了重要依据.