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31.
Zhengqian Luo Guoyong Sun Zhiping Cai Miaoling Si Qibo Li 《Optics Communications》2007,277(1):118-124
In this paper, continuous wave Yb3+-doped double-clad fiber lasers (DCFLs) with linear-cavity are investigated theoretically and numerically using the rate equations. Under the steady state conditions, the simplified analytic solutions of Yb3+-doped DCFLs under considering the scattering loss are deduced in the strongly pump condition. Compared with the known analytic solutions in published literatures, our analytic solutions are more accurate, especially, at higher reflectivity of output mirror. In addition, a fast and stable algorithm based on the Newton-Raphson method is proposed to simulate numerically Yb3+-doped DCFLs. The results by simplified analytic solutions are in good agreement with those by the numerical simulation. Moreover, we have performed the optimization of an Yb3+-doped DCFL using the simplified analytic solutions and the numerical simulations, respectively. 相似文献
32.
This work reports a new synthetic approach for single‐phase TiO2 nanomaterials by solvothermal treatment of titanium tetrachloride in acetone at 80–110 °C. Small, uniform, and yet size‐tunable (5–10 nm) anatase titania nanocrystallites were obtained using a low concentration of TiCl4 in acetone (i.e., at molar ratios of TiCl4/acetone ≤ 1:15) in the temperature range of 80–110 °C, while rutile nanofibers were synthesized using a high concentration of TiCl4 (e.g., TiCl4/acetone = 1:10) at 110 °C. Copyright © 2007 John Wiley & Sons, Ltd. 相似文献
33.
In this note we study constant mean curvature surfaces in asymptotically flat 3-manifolds. We prove that, outside a given compact subset in an asymptotically flat 3-manifold with positive mass, stable spheres of given constant mean curvature are unique. Therefore we are able to conclude that the foliation of stable spheres of constant mean curvature in an asymptotically flat 3-manifold with positive mass outside a given compact subset is unique.
34.
Ping-xing Chen Jian-ming Cai Zheng-wei Zhou Guang-can Guo 《量子光学学报》2006,12(B08):72-73
The second law of thermodynamics is one of the most fundamental and for-reaching laws of physics. It teaches us that when a closed system undergoes a thermodynamic process the entropy of the system never decreases; it increases, or at least remains constant. If the entropy increases the thermodynamic process is irreversible, otherwise it is reversible. Only ideal thermal process is reversible. In classical world a great number of facts have proved the second law is true. But in quantum world since the quantum coherence and correlations exist we are not sure the second law is still true, at least in principle. This is because that: 1. on the microscopic level the irreversibility is conflict with the reversibility of all fundamental physical laws ; 2. there are not enough evidences to show it is true in quantum world. 相似文献
35.
36.
The feature selection consists of obtaining a subset of these features to optimally realize the task without the irrelevant
ones. Since it can provide faster and cost-effective learning machines and also improve the prediction performance of the
predictors, it is a crucial step in machine learning. The feature selection methods using support machines have obtained satisfactory
results, but the noises and outliers often reduce the performance. In this paper, we propose a feature selection approach
using fuzzy support vector machines and compare it with the previous work, the results of experiments on the UCI data sets
show that feature selection using fuzzy SVM obtains better results than using SVM. 相似文献
37.
The contrast of interference pattern formed by two circularly polarized waves and by a linearly polarized wave and a circularly polarized one is discussed. The results are compared with that by two linear beams. It shows that the use of circular light in holographic fabrication of three-dimensional periodic microstructures may remove the necessity of beam ratio and polarization optimization needed in the interference of three linear noncoplanar beams and improve the uniform contrast of resultant pattern simultaneously. 相似文献
38.
In the inverse scattering transform (IST), the reflectionless Jost solutions are combined by their analytic properties in the complex spectrum parameter plane, and then can be shown to satisfy the two Lax equations indeed by Liouville theorem. So the corresponding soliton solutions certainly satisfy the nonlinear equation by compatibility condition. Especially the multi-soliton solutions of DNLS equation can be demonstrated in this way.
PACS Numbers: 05.45.Yv, 02.30.-f, 11.10.Ef 相似文献
39.
Übersicht Die Simulation steifer Differentialgleichungssysteme sehr hoher Ordnung durch implizite Runge-Kutta-Verfahren (gelegentlich auch nach Padé benannt) ist global weitgehend theoretisch geklärt. Bei der konkreten Behandlung von Aufgaben der nichtlinearen Strukturdynamik ist man jedoch zu vielfältigen Zusatzüberlegungen genötigt, um zu vertretbaren Rechenzeiten zu gelangen. Anknüpfend an die bewährte gleichgradige quadratische Padé-Entwicklung oder auch kubische Interpolation am System 1. Ordnung wird die Konvergenzbeschleunigung durch Extrapolation der Nichtlinearitäten belegt. Weiterhin werden Phänomene der modalen Reduktion beim Zusammenwirken verschiedener Steifigkeiten aufgezeigt.
Finite elements in time with extrapolation in nonlinear structural dynamics
Summary Today the theory of integrating stiff differential equations of high order by implicit Runge-Kutta methods (sometimes called Padé approximations) is developed very well especially concerning global properties. Nevertheless, additional considerations must be done in order to minimize the numerical effort when special problems from nonlinear structural dynamics are to be solved. Using a quadratic Padé-approximation or a cubic interpolation for the first-order-system it is shown that the rate of convergence profits from extrapolating the nonlinearities. Some observations and comments on modal reduction for problems characterized by multiple stiffnesses are added.相似文献
40.
本文主要论证了在不完全市场条件下带风险指数的金融均衡的存在性,并揭示其均衡结构的特征.本文中建立的模型是一、二期货币投入产出金融经济且具有可微的资产结构,这一模型包括了许多具有特殊资产结构的均衡模型,如实资产结构、虚资产结构、恒秩资产结构的均衡模型.因此本文的这一模型具有广泛的应用前景和实用价值.接着给出了本文的金融均衡的存在性定理,再借助微分拓扑给出它的证明过程,这一证明过程较之以前证明均衡存在性的经典方法(如Duffie,D&W.Shfer(1985)的方法)要简便得多.同时也应注意到本文的这一结论既适用于资产市场下会随机风险因素的情形,也适用于商品空间为无限维的情形,除此之外,还给出了怎样判别资产结构是否属于T类的判别法,为检验均衡存在性提供了更为便利的途径.最后,本文论证了在金融市场里,尽管由于稀缺性的存在,从而导致均衡分配的多样化,然而均衡分配集却形成了一光滑子流,但该流形的维数与稀缺性有关.换句话说,尽管市场是不完全的,但均市分配不确定性的反却是可比的.如此使得人们对均衡资产结构的认识更进一步. 相似文献