Effect of relativistic elliptical beam modulation on excitation of surface plasma waves in a magnetized dusty plasma column with elliptical cross section

Abstract

The excitation of surface plasma waves due to the interaction of an elliptical relativistic density modulated electron beam with the magnetized dusty plasma column with elliptical cross-section has been studied. The dispersion relation of surface plasma waves has been retrieved from the derived dispersion relation by considering that the beam is absent and there is no dust in the plasma elliptical cylinder. It is shown that the Cherenkov and fast cyclotron interactions appear between the beam and eigen-modes of plasma column. The growth rate of the instability increases with the beam density and modulation index as one-third power of the beam density in Cherenkov interaction and is proportional to the square root of beam density in fast cyclotron interaction. The numerical results and graphs are presented, too.     

Phase transitions and modulated structure of the incommensurate phase in Mg[H2O]6SiF6 crystal

The temperature and angular dependences of the EPR spectra of Mg[H₂O]₆SiF₆:Mn²⁺ crystal were investigated in order to clarify the successive phase transitions and existence of the incommensurate phase. Five successive phase transitions were found to occur, and phase II was found to be incommensurately modulated. The modulated structure is caused mainly by the vibrational displacement of the Mg[H₂O]²⁺ ₆ ion along the c-axis. The soliton density of this phase is almost independent of temperature and remains equal to unity.     

Risk Minimizing Option Pricing for a Class of Exotic Options in a Markov-Modulated Market

We address risk minimizing option pricing in a regime switching market where the floating interest rate depends on a finite state Markov process. The growth rate and the volatility of the stock also depend on the Markov process. Using the minimal martingale measure, we show that the locally risk minimizing prices for certain exotic options satisfy a system of Black-Scholes partial differential equations with appropriate boundary conditions. We find the corresponding hedging strategies and the residual risk. We develop suitable numerical methods to compute option prices.     

调频信号的单模激光线性模型随机共振

对单模激光增益模型的光强方程加入调频信号,用线性化近似方法计算了以δ函数形式关联的两白噪声驱动下光强的输出功率谱及信噪比. 结果表明,信噪比随抽运噪声和量子噪声强度的变化可出现典型随机共振,受调制信号振幅的影响,信噪比随载波信号频率和调制信号频率的变化出现抑制、单调上升、共振、抑制和共振等几种情况. 关键词： 抽运噪声 单模激光 随机共振 调频信号     

调制自由载流子吸收测量半导体载流子输运参数的三维理论

推导出用于测量半导体载流子输运特性(载流子寿命、载流子扩散系数和前表面复合速度)的调制自由载流子吸收(modulated free carrier absorption, MFCA)检测技术的三维理论模型,给出了调制自由载流子吸收检测信号与调制频率和抽运-探测光相对距离的关系.定性分析了在不同调制频率时各个载流子输运参数对径向位置扫描曲线(信号与两束光相对距离的关系)的影响,结果表明调制自由载流子吸收检测信号对各个参数的灵敏度随抽运-探测光相对距离的增加而增加.仿真和实验结果表明,通过拟合不同调制频率时调 关键词： 调制自由载流子吸收 载流子输运特性 径向位置扫描     

Flow dynamics in the short asymmetric Taylor-Couette cavities at low Reynolds numbers

This paper reports on the numerical investigations of Taylor-Couette flow of radius ratio η = 0.25–0.6 performed at low Reynolds numbers Re = 100–200. The inner cylinder and the bottom end-wall rotate, while the outer cylinder and the top end-wall are held fixed. A fully 3D DNS code based on the spectral Chebyshev – Fourier approximation is used. This study is complementary to those of Mullin and Blohm (Phys. of Fluids 2001, vol 13, 136–140) and Lopez et al. (J. Fluid Mech. 2004, vol 501, 327–354) where investigations have been performed for radius ratio 0.5. The 1-cell and 3-cell structures found by these authors are shown to exist for a wide range of radius ratios, and the transition processes between them are qualitatively similar. These structures show hysteresis, disappearing at saddle-node bifurcations which connect at a cusp point in the (Re, Γ) plane. This cusp exists for the entire range of 0.1 < η < 0.75, and it traces out a parabolic curve in the (Re, Γ) plane, reaching a minimum Re at η = 0.375. The detailed 3D DNS computations provide a lot of new information about such phenomena as the modulated rotating wave, the period doubling cascade and homoclinic collision. The results show that the period doubling bifurcation is important in the flow when the radius ratio is close to η = 0.375.     

Directly Suspended Droplet Three Liquid Phase Microextraction of Diclofenac Prior to LC

Directly suspended droplet liquid–liquid–liquid microextraction (LLLME) has been used to determine residues of diclofenac (2-[2-(2,6-dichlorophenyl) aminophenyl] ethanoic acid), in environmental water samples. In this technique a free suspended droplet of an aqueous solvent is delivered to the top-center position of an immiscible organic solvent floating on the top of an aqueous sample while being agitated by a stirring bar placed on the bottom of the sample cell. Recently, diclofenac was found as an environmental contaminant in sewage, surface, ground and drinking water samples. In the present work, diclofenac was extracted from water samples by LLLME and analysed by HPLC with UV detection at 281 nm. Factors such as organic solvent, extraction and back extraction times, stirring rate and the pH of acceptor and donor phases were optimized. Enrichment factor and detection limit (LOD, n = 7) were 102 and 0.1 μg L⁻¹, respectively. The linearity ranged from 0.5 to 2,000 μg⁻¹ with a %RSD (n = 5) of 7.2 at S/N = 3. All experiments were carried out at room temperature (22 ± 0.5 °C).     

通道调制型偏振成像系统的波段宽度限制判据

通道调制型偏振成像技术是一种体积紧凑、空间分辨率高且能够实时获取全偏振信息的新型偏振成像探测技术. 但该技术目前只能实现准单色光的全偏振探测, 严重制约了其实用化. 本文首先对宽带光通道调制型偏振成像出现混叠现象的原因进行了分析, 得出载波频率是限制波段宽度的主要因素. 据此在空间频谱域上分析并推导了通道调制型偏振成像系统的光谱宽度限制判据公式, 同时通过模型仿真得到了系统的极限有效光谱范围, 与理论推导公式结果进行了对比分析, 验证了判据的准确性. 基于该判据可预测给定通道调制型偏振成像系统的有效工作波段, 同时还可为扩展系统波段宽度提供理论支撑.     

外调制CATV光发射机中并行结构预失真补偿技术

针对外调制式CATV光发射机中固有的非线性复合三阶差拍(CTB)失真,提出了一种并行结构的预失真补偿电路技术,并进行了详细的理论分析.在此基础上设计制作了基于互补型二极管阵列的预失真非线性补偿电路,实现了50～550MHz宽频带内CTB补偿15dB～18dB,同时对二次失真没有影响.     

光纤CATV外调制发射机中的复合二次失真及其抑制

复合二次失真(CSO:Composite Second Order Distortion)是光纤CATV中最主要的非线性之一.理论分析表明:在外调制CATV中,将调制器偏置在最佳偏置点可以消除CSO,但外调制器最佳偏置点却随时间及环境温度等漂移,因而会导致CSO的严重恶化.本文提出了一种易于实现的调制器偏置点控制方案,并进行了详细的理论分析与实验研究,结果显示该方案能够将50～550MHz宽频带内电视信号CSO指标抑制在-65dB以下.