向列相液晶中强非局域空间光孤子的相互作用

在数值和实验上研究了向列相液晶中空间光孤子的相互作用.向列相液晶中的响应函数为指数衰减函数，这不同于Snyder-Mitchell模型.数值模拟发现向列相液晶中的孤子相互作用仍然满足交叉点位置与输入功率的平方根成反比，强非局域下的Snyder-Mitchell模型交叉点位置与两束光的间距无关，而在向列相液晶中交叉点位置与两束光的间距有关；在实验上发现，向列相液晶中两束光交叉点的位置与输入功率平方根成反比，还和形成孤子的临界功率以及两束光之间的间距有关.     

向列相液晶中强非局域空间光孤子的相互作用

在数值和实验上研究了向列相液晶中空间光孤子的相互作用.向列相液晶中的响应函数为指数衰减函数,这不同于Snyder-Mitchell模型.数值模拟发现向列相液晶中的孤子相互作用仍然满足交叉点位置与输入功率的平方根成反比,强非局域下的Snyder-Mitchell模型交叉点位置与两束光的间距无关,而在向列相液晶中交叉点位置与两束光的间距有关;在实验上发现,向列相液晶中两束光交叉点的位置与输入功率平方根成反比,还和形成孤子的临界功率以及两束光之间的间距有关. 关键词： 强非局域非线性 向列相液晶 孤子相互作用 交叉点     

Unified Analysis for Calculating the Incoherent Spontaneous Emission of Cooperative Radiations

A unified analysis is presented to calculate the incoherent spontaneous power of cooperative radiations based on self-amplified spontaneous emission. Using quantum mechanical tools, we derive analytical expressions for the incoherent spontaneous power of undulator and Cherenkov free-electron lasers(FELs). The undulator and Cherenkov FELs are considered as two different examples for the radiation that accumulate cooperatively. In the case of the undulator FEL, we show an excellent agreement between an expression for the incoherent radiation power derived in the present work and that obtained using a completely different approach [Phys. Rev. E65(2002) 026501] For the Cherenkov radiation,we demonstrate a satisfactory agreement between the incoierent power predicted in our analysis and previous experimental results.     

Transmitted power allocation/control for multi-band MC-CDMA

Transmit power allocation over multiple subcarriers is an effective way to improve system error probability performance and to save power in traditional multi-carrier systems. In this paper, we derive the optimum power allocation algorithm for multi-band MC-CDMA systems, where optimum is defined as minimal BER under the constraint of fixed transmitted power, assuming knowledge of power attenuation of different sub-bands. With a two-band MC-CDMA system and Rayleigh channel fading, we show that a BER performance improvement based on the optimum allocation can only be attained over a limited range of transmit power and a limited range of sub-band power attenuation difference values. This performance improvement is also modest compared with a uniform power allocation, which suggests that the uniform power allocation is near optimal for transmit power control under our assumptions. Two simple transmitted power control algorithms are provided, and the controlled transmit power for a two-band system is shown to be a linear function of the power attenuation difference between the two bands for a large range of these attenuation differences. The small non-linear range implies that in using a multi-band channel, any savings in total transmitted power can occur only when the power attenuation difference between the two bands is small.     

拉曼抽运下的布里渊-瑞利散射研究

首先对色散补偿光纤中不同拉曼抽运功率下的布里渊-瑞利散射 现象进行实验研究，详细分析和说明了输出光谱特性以及输出光谱随抽运功率的演化特性.然后在已有的一级布里渊散射的理论模型基础上，进一步推导出拉曼抽运下多级布里渊-瑞利散射的理论模型.利用该模型进行了数值模拟，结果表明：在抽运功率较低的情况下，理论和实验相符；但在抽运功率较高的情况下，理论和实验存在较大差异.对于差异 的形成，也进行了深入的分析. 最后，从理论计算和实验结果两方面，得到较高抽 运功率下的多级布里渊-瑞利散射的饱和特性，进而说明了特定抽运功 关键词： 布里渊 瑞利散射 拉曼抽运 多级理论模型 饱和特性 多级平坦输出光谱     

Markov switching of the electricity supply curve and power prices dynamics

Regime-switching models seem to well capture the main features of power prices behavior in deregulated markets. In a recent paper, we have proposed an equilibrium methodology to derive electricity prices dynamics from the interplay between supply and demand in a stochastic environment. In particular, assuming that the supply function is described by a power law where the exponent is a two-state strictly positive Markov process, we derived a regime switching dynamics of power prices in which regime switches are induced by transitions between Markov states.In this paper, we provide a dynamical model to describe the random behavior of power prices where the only non-Brownian component of the motion is endogenously introduced by Markov transitions in the exponent of the electricity supply curve. In this context, the stochastic process driving the switching mechanism becomes observable, and we will show that the non-Brownian component of the dynamics induced by transitions from Markov states is responsible for jumps and spikes of very high magnitude. The empirical analysis performed on three Australian markets confirms that the proposed approach seems quite flexible and capable of incorporating the main features of power prices time-series, thus reproducing the first four moments of log-returns empirical distributions in a satisfactory way.     

基于磁共振的水下非接触式电能传输系统建模与损耗分析

文章对基于磁共振的水下非接触式电能传输系统在海水中的传输机理以及电涡流损耗进行了分析. 首先基于互感模型, 建立了空气中磁共振非接触式电能传输系统的数学模型, 分析了系统的频率特性, 从理论上对频率分裂现象进行了解释. 然后针对海水环境, 通过麦克斯韦方程组建立系统的数学模型, 通过级数展开, 略去高阶项, 得到计算电涡流损耗的近似公式, 分析了电涡流损耗与线圈半径、谐振频率、传输距离、磁感应强度的关系, 为水下非接触式电能传输系统的总体设计提供了理论依据. 最后通过实验验证了在空气中和海水中进行非接触式电能传输的异同, 以及电涡流损耗与各项参数的关系. 实验表明: 在空气中当传输距离为50 mm、传输功率为100 W时, 效率在80%以上; 在海水中当传输距离为50 mm、传输功率为100 W时, 效率约为67%, 说明基于磁共振的水下非接触式电能传输系统在海水中也有很好的应用前景.     

Stochastic dynamics,efficiency and sustainable power production

In the framework of stochastic thermodynamics, we give a precise expression of power dissipation in a heat engine, and study the relation between entropy and power dissipation. Using these relations, we propose a reasonable and general definition of efficiency for thermal engines in a non-equilibrium stationary state. This definition, different from Carnot efficiency, seems appropriate to the concerns of sustainable development. We show that non-zero dissipation is necessary for producing non-vanishing power. Furthermore, close to equilibrium and even in much broader situations, when power production is maximum with respect to relevant variables the power dissipation is at less equal to the power delivered to a mechanical, external system, and the corresponding “sustainable efficiency” is at most ?. From this result, we deduce a new upper bound for Carnot efficiency at maximum power. It is compared to similar, but different upper bounds obtained previously by other authors.     

Spectrum efficient power allocation schemes for OFDM cognitive radio with statistical interference constraints

In this paper, we study the power allocation problem for an orthogonal frequency division multiplexing (OFDM)-based cognitive radio (CR) system. In a departure from the conventional power allocation schemes available in the literature for OFDM-based CR, we propose power allocation schemes that are augmented with spectral shaping. Active interference cancellation (AIC) is an effective spectral shaping technique for OFDM-based systems. Therefore, in particular, we propose AIC-based optimal and suboptimal power allocation schemes that aim to maximize the downlink transmission capacity of an OFDM-based CR system operating opportunistically within the licensed primary users (PUs) radio spectrum in an overlay approach. Since the CR transmitter may not have the perfect knowledge about the instantaneous channel quality between itself and the active PUs, the interference constraints imposed by each of the PUs are met in a statistical sense. We also study an optimal power allocation scheme that is augmented with raised cosine (RC) windowing-based spectral shaping. For a given power budget at the CR transmitter and the prescribed statistical interference constraints by the PUs, we demonstrate that although the on-the-run computational complexity of the proposed AIC-based optimal power allocation scheme is relatively higher, it may yield better transmission rate for the CR user compared to the RC windowing-based power allocation scheme. Further, the AIC-based suboptimal scheme has the least on-the-run computational complexity, and still may deliver performance that is comparable to that of the RC windowing-based power allocation scheme. The presented simulation results also show that both the AIC-based as well as the RC windowing-based power allocation schemes lead to significantly higher transmission rates for the CR user compared to the conventional (without any spectral shaping) optimal power allocation scheme.     

Charge Transport Properties of the Majorana Zero Mode Induced Noncollinear Spin Selective Andreev Reflection

We study the charge transport properties of the spin-selective Andreev reflection(SSAR)effect between a spin polarized scanning tunneling microscope(STM)tip and a Majorana zero mode(MZM).Considering both the MZM and the excited states,we calculate the conductance and the shot noise power of the noncollinear SSAR using scattering theory.We find that the excited states give rise to inside peaks.Moreover,we numerically calculate the shot noise power and the Fano factor of the SSAR effect.Our calculation shows that the shot noise power and the Fano factor are related to the angle between the spin polarization direction of the STM tip and that of the MZM,which provide additional characteristics to detect the MZM via SSAR.     

功率控制的强非局域空间光孤子短程相互作用

研究了功率控制的强非局域空间光孤子短程相互作用.由动量守恒,两个孤子短程相互作用时,孤子的质心轨迹因相位差而发生偏转.实验上证实了偏转幅度与功率比有关,当功率相等时,偏转最大.利用功率对相互作用的调控的特性,测量了液晶分子对光场的响应时间,发现比其对偏置电压的响应时间短很多.     

对无功功率物理意义的讨论

有功功率和无功功率是电工理论中非常重要的基本概念,有功功率物理意义明确,是瞬时功率在一个周期内的平均值,而无功功率概念模糊,正弦稳态电路中,一端口网络无功功率的值为端口电压有效值与电流有效值及电压与电流相位差的正弦函数三者的乘积,即Q=UIsinφ,有的教材将无功功率解释为网络内部与外部电源能量交换的最大规模,本文通过纯电阻、纯电感和纯电容电路,以及对RL与C并联电路的分析,证实对无功功率的这种解释是有歧义的.     

Power law decay of stored pattern stability in sparse Hopfield neural networks

Hopfield neural networks on scale-free networks display the power law relation between the stability of patterns and the number of patterns.The stability is measured by the overlap between the output state and the stored pattern which is presented to a neural network.In simulations the overlap declines to a constant by a power law decay.Here we provide the explanation for the power law behavior through the signal-to-noise ratio analysis.We show that on sparse networks storing a plenty of patterns the stability of stored patterns can be approached by a power law function with the exponent-0.5.There is a difference between analytic and simulation results that the analytic results of overlap decay to 0.The difference exists because the signal and noise term of nodes diverge from the mean-field approach in the sparse finite size networks.     

Measuring the flow of information among cities using the diffusion power

In this Letter, we define here the so-called diffusion power - an extension of the dominance power, which considers the interaction between neighbors of higher orders. Using this measure, we analyze the centrality of cities in two networks of the flow of information among these cities, namely a network of calls among the cities and a network of radio stations. Finally, we explain the centralities of the cities evaluated using the diffusion power in terms of the specific characteristics of the cities that belong to the network.     

基于局部序参数的电网同步性能优化

采用类Kuramoto模型对电网中的节点进行建模,利用局部序参数描述节点的局部同步能力.研究发现相比小功率节点,大功率节点到其直接邻居节点更难达到同步.提出一种网络耦合强度的非均匀分配方法,在网络总耦合强度不变的情况下,增大大功率节点到其直接邻居节点的耦合强度以及相关节点对之间的连边耦合强度,减少其余节点对间的耦合强度.研究表明,这种方法可以在一定范围内降低电网的同步临界耦合强度,改善网络的同步性能;但当这种耦合强度的非均匀性过大时,网络的同步性能开始恶化.     

Transmitted Optical Power through a Tapered Single-Mode Fiber under Dynamic Bending Effects

This paper describes theoretically one of the physical phenomena that take place in a tapered single-mode optical fiber (taper): the transfer of optical power between different order modes. This optical power transfer depends on several factors; one of them is the static bending of the taper, as other authors have reported. In addition to these studies, we have noticed that if the bend angle oscillates, then the magnitude of the optical power transfer is also modified by other additional factors. Thus, at dynamic conditions the transmitted optical power through the taper is also affected by the oscillation frequency. Here we propose a more generic equation system to obtain the coupling coefficient between modes under static as well as dynamic bending conditions. When the presented equations are particularized for static conditions, a complete agreement with other studies is observed. In addition, validating the theoretical justification, some experimental results are also shown.     

Models for the modern power grid

This article reviews different kinds of models for the electric power grid that can be used to understand the modern power system, the smart grid. From the physical network to abstract energy markets, we identify in the literature different aspects that co-determine the spatio-temporal multilayer dynamics of power system. We start our review by showing how the generation, transmission and distribution characteristics of the traditional power grids are already subject to complex behaviour appearing as a result of the the interplay between dynamics of the nodes and topology, namely synchronisation and cascade effects. When dealing with smart grids, the system complexity increases even more: on top of the physical network of power lines and controllable sources of electricity, the modernisation brings information networks, renewable intermittent generation, market liberalisation, prosumers, among other aspects. In this case, we forecast a dynamical co-evolution of the smart grid and other kind of networked systems that cannot be understood isolated. This review compiles recent results that model electric power grids as complex systems, going beyond pure technological aspects. From this perspective, we then indicate possible ways to incorporate the diverse co-evolving systems into the smart grid model using, for example, network theory and multi-agent simulation.     

Low Reynolds number hydrodynamics of asymmetric,oscillating dumbbell pairs

Numerical simulations are used to discuss various aspects of “optical rogue wave” statistics observed in noise-driven fiber supercontinuum generation associated with highly incoherent spectra. In particular, we consider how long wavelength spectral filtering influences the characteristics of the statistical distribution of peak power, and we contrast the statistics of the spectrally filtered SC with the statistics of both the peak power of the most red-shifted soliton in the SC and the maximum peak power across the full temporal field with no spectral selection. For the latter case, we show that the unfiltered statistical distribution can still exhibit a long-tail, but the extreme-events in this case correspond to collisions between solitons of different frequencies. These results confirm the importance of collision dynamics in supercontinuum generation. We also show that the collision-induced events satisfy an extended hydrodynamic definition of “rogue wave” characteristics.     

Hidden power law patterns in the top European football leagues

Because sports are stylized combat, sports may follow power laws similar to those found for wars, individual clashes, and acts of terrorism. We show this fact for football (soccer) by adjusting power laws that show a close relationship between rank and points won by the clubs participating in the latest seasons of the top fifteen European football leagues. In addition, we use Shannon entropy for gauging league competitive balance. As a result, we are able to rank the leagues according to competitiveness.     

Analytical solutions to rate equations including losses describing threshold pumped fiber lasers

An exact analytical expression to the threshold pump power has been deduced for rate equations including loss coefficients applicable to fiber lasers doped with quasi two-energy-level ions. Following the derivation of a closed-form expression for the variation of the pump power along the fiber, together with analytical solutions to the position dependent atom population density and laser power in terms of the pump power, we have analytically and fully solved rate equations describing threshold pumped fiber lasers. A comparison has also been made between the exact analytical result with the previous reported results, which indicates that various approximation have underestimated the threshold pump powers.