名校基础知识自测

★高一年级北京市第八中学(100032) 白芸一、选择题1.设a、b、c都是正数且3a=4b=6c,那么( ). (A)1/c=1/a 1/b (B )2/c=2/a 1/b(C)1/c=2/a 2/b (D)2/c=1/a 2/b2.指数函数f(x)=(2-a)x和对数函数g(x)= log1/a-1x的图像只能是( ).     

Spin Squeezing and Entanglement of Many-Particle Spin-Half States

In many-particle spin-half systems with exchange symmetry, we find that the spin squeezing is related to two types of entanglement, the bipartite and the pairwise entanglement. A quantitative relationship is revealed for the spin squeezing parameter, the tangle, and the concurrence. We find that a class of states is spin squeezed if the pairwise entanglement is stronger than the bipartite entanglement.     

High Power One- and Two-Order Cascaded Raman Lasers Based on Home-Made Phosphosilicate Fibre

One- and two-order cascaded Raman fibre lasers are demonstrated by using home-made P-doped Raman fibres.An output power of 2.8 W at 1245 nm with a slope efficiency of 33.4% and an output power of 2.0 W at 1495 nm with a slope efficiency of 23.5% are obtained with the pump source at 1069. 7nm.     

Modification of Absorption of a Bulk Material by Photonic Crystals

We show theoretically that it is possible to modify absorption of a bulk absorbing material by inserting another non-absorbing dielectric slab periodically to form one-dimensional photonic crystals.It is found that,for frequencies within photonic bandgaps,absorption is always suppressed.For frequencies located at photonic bands,absorption can be suppressed or enhanced,which depends on the relative values of the real refractive index of the absorbing and non-absorbing dielectric layers.     

带依状态切换的扩散过程的Feller性和指数遍历性

研究一类一般的带依状态切换的扩散过程的Feller 性和指数遍历性. 通过引入辅助过程和利用 Radon-Nikodym 导数, 证明了这类过程的 Feller 连续性. 进一步, 在某些合理的条件下, 也证明了这类过程的强 Feller 连续性和指数遍历性.     

平面上Volterra型随机微分方程解的轨道惟一性

In this paper we prove the pathwise uniqueness of a kind of two-parameter Volterra type stochastic differential equations under the coefficients satisfy the nonLipschitz conditions. We use a martingale formula in stead of Itǒ formula, which leads to simplicity the process of proof and extends the result to unbounded coefficients case.     

LD双端端面泵浦的高功率连续单频Nd:YVO4激光器

通过研究Nd:YVO4晶体在不同Nd3+掺杂浓度下对泵浦激光的吸收特性,以及激光晶体因吸收泵浦光而产生的热效应,在理论上分析了大功率泵浦情况下全固体化单频Nd:YVO4激光器中激光晶体Nd3+掺杂浓度对激光输出特性的影响,得出了激光器的输出功率、泵浦阈值以及斜效率与晶体掺杂浓度的对应关系.在实验上对晶体掺杂浓度分别为0.2 at%、0.3 at%和0.5 at%的大功率全固体化单频Nd:YVO4激光器的输出功率进行了比较,实验结果和理论预测基本吻合.当Nd:YVO4晶体的Nd3+掺杂浓度为0.3 at%,在44.3 W泵浦光功率下,我们在实验室得到18 W单频连续1.064 μm激光输出,激光器的斜效率为49.4%.     

应用马尔科夫状态转移链的作战航空综合体效能评估

文章阐述了作战航空综合体的相关概念及组成,应用马尔科夫状态转移链建立了作战航空综合体完成典型作战任务时的数学模型,确定了作战效能的评估指标,最后通过具体算例检验了模型的正确性和可行性.