Interpolation perturbation method for solving nonlinear problems

I.IntroductionInthispaper,onthebasisofRefll],usingtheinterPotationPerturbationmethod,theauthorseekstosolveseveralnon-Iinearproblems.Itsmainpointsare:Introducinganinterpolationfunction,wedeterminethisfunctionbyusingtheperturbationmethodandthenproceedtoseek…     

On perfectly stress field at a mixed-mode crack tip under plane and anti-plane strain

In [1], under the condition that all the perfectly plastic stress components at a crack tip are functions of ϕ only, making use of equilibrium equations, stress-strain rate relations, compatibility equations and yield condition. Lin derived the general analytical expressions of the perfectly plastic stress field at a mixed-mode crack tip under plane and anti-plane strain. But in [1] there were several restrictions on the proportionality factor γ in the stress-strain rate relations, such as supposing that γ is independent of ϕ and supposing that γ=c or cr⁻¹. In this paper, we abolish these restrictions. The cases in [1], γ=cr^d (n=0 or-1) are the special cases of this paper.     

Copper ion beam emission in solid electrolyte Rb4Cu16I6.5Cl13.5

Copper ion conducting solid electrolyte Rb$_{4}$Cu$_{16}$I$_{6.5}$Cl$_{13.5 }$ was prepared by means of mechano-chemical method. The structure and morphology of the powder was investigated by x-ray diffraction and scanning electron microscopy. The grain size was estimated to be 0.2-0.9 μm and the ionic conductivity at room temperature was approximately 0.206 S/cm. The solid electrolyte Rb$_{4}$Cu$_{16}$I$_{6.5}$Cl$_{13.5 }$ was exploited for copper ion beam generation. The copper ion emission current of several nA was successfully obtained at acceleration voltages of 15 kV and temperature of 197 $^\circ$C in vacuum of 2.1$\times10^{-4}$ Pa. A good linear correlation between the logarithmic ion current $(\log I)$ and the square root of the acceleration voltage ($U_{\rm acc}$) at high voltage range was obtained, suggesting the Schottky emission mechanism in the process of copper ion beam generation.     

用三比特海森堡XXZ模型实现量子稠密编码

本文主要研究利用各向异性三比特海森堡XXZ模型实现量子稠密编码的理论可行性问题并讨论在有限温度下,xy平面上的耦合常数J,z方向的耦合常数Jz,以及外加磁场对稠密编码信道容量的影响。结果表明,耦合常数J对量子稠密编码信道容量起到积极作用。尽管耦合常数Jz,外加磁场B及温度T均抑制量子稠密编码的信道容量,但是在一定范围内J总可以抵消这些参数的消极作用并提高信道容量。     

光纤光栅的反射率特性

基于光纤光栅在光通信中的重要应用,根据耦合模理论数值模拟了波长在1.55μm附近时光纤光栅长度与反射率的关系,分析图形得到了在1.50μm到1.55μm之间出现较强的反射率,几乎接近100%,同时分析了折射率变化对反射率的影响,研究结果为光通信中无源光器件的制作提供理论依据。     

混合团簇Cu_(11)Fe_2的的密度泛函研究

以Cu13非紧致低对称性基态结构及四种13原子高对称性(Ih、Oh、D5h、D3h)密堆积结构为初始构型,通过不等价位原子替换,利用密度泛函理论系统研究了Cu11Fe2混合团簇的稳定性及磁性.结果表明:对四种高对称性结构相应中心位替代构型稳定性均高于双表面位替代构型;Cu11Fe2团簇的基态结构为含一个中心位替代和一个表面位替代的Ih替换结构,这与Cu13的基态结构完全不同;Cu11Fe2无明显近基态同分异构现象;相较Cu13团簇、Cu11Fe2团簇的稳定性及磁性均得到增强.     

基于四氟对苯二甲酸为配体的两个锌(Ⅱ)的配合物的合成、晶体结构和荧光性质

本文以四氟对苯二甲酸(H₂tfbdc)和2,2’-联吡啶(bpy)为配体, 合成了2个锌(Ⅱ)的配合物[Zn₂(bpy)₄(Htfbdc)₂(tfbdc)] (1) and [Zn(bpy)(H₂O)₂(tfbdc)] (2)。并用元素分析、红外光谱、X-射线单晶衍射结构分析、热重分析等对其进行了表征。化合物1和2均属于三斜晶系, 空间群为P1。配合物1和2中的锌(Ⅱ)离子分别位于畸变的八面体和畸变的三角双锥构型中。配合物1为双核结构, 它们通过分子间氢键进一步形成一个二维的结构;配合物2是一个单核的两性离子, 两性离子间通过氢键形成一个三维的空间网状超分子结构。考察了两种配合物的固体荧光性质。     

碰撞诱导振动能量转移：Cs2[B1∏u(v′=5)]+ N2→Cs2[B1∏u(v′=4，6)]+ N2

利用激光诱导荧光方法研究了Cs2[B1∏u(v′=5)]与N2的碰撞能量转移。脉冲激光激发Cs2基态至[B1∏u(v′=5)]态,池温保持在410K ,N2气压在1.5×102Pa至2.5×103Pa之间变化。荧光中含有直接荧光和碰撞转移荧光成分,记录直接荧光B1∏u(v′=5)→X1∑+g(v〞=0)的时间分辨强度。从荧光强度的对数值给出的直线斜率得到B1∏u(v′=5)→X1∑+g(v〞=0)的有效寿命,由Stern-Volmer方程,得到B1∏u(v′=5)→X1∑+g(v〞=0)的辐射寿命为（45±9）ns。B1∏u(v′=5)态与N2碰撞的猝灭总截面为（9.8±1.5）×10-15cm2。用类似的方法得到B1∏u(v′=4,6)能级的辐射寿命。在不同的N2气压下,测量B1∏u(v′=5,4,6)→X1∑+g(v〞=0)的时间积分荧光强度,首次得到v′=5→v′=4及v′=5→v′=6的碰撞转移截面分别为(3.9±0.8)×10-15cm2和(4.1±0.8)×10-15cm2。     

基于高光谱和BP神经网络的棉花冠层叶绿素含量联合估算

冠层叶绿素能够有效反映植被的生长状况。为了基于高光谱精确估算冠层的叶绿素含量,以棉花为研究对象,实测棉花冠层光谱反射率和叶绿素含量,然后进行原始光谱数据转换,计算高光谱参数,分析叶绿素含量与高光谱参数之间的相关关系,构建估算棉花冠层叶绿素含量的BP神经网络模型。结果表明:包络线去除处理后,冠层反射率和叶绿素含量的相关性在560～740 nm波段范围内提高了10.7%,效果优于原始光谱和一阶微分光谱得到的结果;基于原始光谱和去除包络线光谱建立的植被指数mSR、mND、NDI、DD与叶绿素含量表现出较高的相关性,相关系数均在0.8左右;在所建的BP神经网络模型中,基于包络线光谱指数建立的模型的决定系数为0.85,均方根误差和相对误差分别为1.37、1.97%,这一结果优于基于红边参数、原始光谱植被指数和一阶微分光谱指数建立的模型。本研究可为作物叶绿素含量估算的实际应用提供理论依据和技术支持。     

On shock layer method for the hypersonic flow problems

Chernyi’s series method[1] is not proper for the case that(γ-l)/(γ+l)<<2/(γ+1)×M²sin²β (γ=c_p/c_v-adiabatic index number, M-Much number, β-shock incidence). In this paper, we only suppose that in the neighbour of the shock, there exists a shock layer in which the density of the gas is very big, but we do not remove the case that (γ-1)/(γ+1)<<2/(γ+1)M²sin²β.