Limit of Julia sets forz d +c

The limit behavior of Julia set J(fd,c) for polynomials fd,c(z) = zd + c is considered. That { J( fd,c) } d≥2 converges to the unit circle S1 in Hausdorff metric for some fixed parameter c is proved and some examples showing { J( fd,C) } d≥2 has no limit are given.     

Infield superconducting properties of nano-sized Ag added Cu_(0.5)Tl_(0.5)Ba_2Ca_2Cu_3O_(10-δ)

Infield superconducting properties of {(Ag)_x/CUTl-1223};(x = 0, 0.5,1.0.2.0 and 4.0 wt %) nanoparticlessuperconductor composites were investigated under different applied magnetic field up to H = 8 T. The increase in critical temperature {T_c(0)} and decrease in normal state resistivity(p_o) were observed with increasing contents of Ag nanoparticles in CuTl-1223 superconducting matrix. The value of T_c~(onset)(K) remained almost unaffected by applying external magnetic field, but a decreasing trend in T_c(0) was observed by increasing the value of external applied magnetic field. The transition region below T_c~(onset)(K) showed Arrhenius behavior due to thermally activated flow of magnetic vortices. Enhancement in flux flow activation energy(U_o) and suppression in transition width(ΔT) of CuTl-1223 phase with addition of Ag nanoparticles showed the improvement in flux pinning strength of superconductor.     

Average widths and optimal recovery of multivariate Besov classes inL p (Rd)

Some weak asymptotic results for average σ-K width and average σ_L width of the isotropic Besov classes S r pθB(R d), S r pθb(R d) and the anisotropic Besov classes S r pθB(R d), S r pθb(R d) in L p(R d) (1≤p<∞) are obtained, and the corresponding weak asymptotic optimal subspaces are identified. Furthermore, the weak asymptotic behavior of optimal recovery is established for the isotropic Besov classes S r pθB(R d) in L p(R d) (1≤p≤∞).     

铁磁纳米颗粒系统磁性质对尺寸和各向异性效应的依赖

研究了随机分布颗粒系统的尺寸、各向异性、矫顽力和温度之间的关系.从FexCu1-x,Fe/SiO2,Fe/Al2O3颗粒膜实验结果入手,以Néel-Bron理论和Storner-Wohlfartly模型为依据,建立了描述细磁性颗粒矫顽力Hc与颗粒大小d、热力学温度T的函数关系,并得出在粒径小于dm(=18~20 nm)范围内,矫顽力随着颗粒的尺寸的增加而迅速地增大,而在颗粒尺寸大于这个范围,则按照Hc∝1/d规律变化.       

硅基一维光子晶体微腔光发射特性的调制

利用一维光子晶体带隙结构对光发射特性进行调制，采用掺杂光子晶体微腔限制电磁场从而控制材料中的光传输。采用不同组分的氢化非晶氮化硅（a-SiNx：H）薄膜作为介质层和发光层，由等离子体化学气相淀积（PECVD）方法制备出一维全a-SiNx：H光子晶体微腔。观察到微腔对于发光层a-SiNx：H薄膜光致荧光显著的调制作用，发光峰的半高宽从原始的208nm强烈的窄化为11nm，峰值强度提高了2个数量级。品质因子为69。通过透射谱测量，清晰地观察到710nm处的谐振峰出现在一维光子晶体带隙中，进一步证实了微腔的选模特性。     

Restricted allowable generalized quantum gates

An allowable generalized quantum gate (introduced by Long, Liu and Wang) has the form of U = Σ _k=0 ^d−1 c _k U _k , where U _k’s are unitary operators on a Hilbert space H and |Σ _k=0 ^d−1 c _k |⩽1 and |c _k |⩽1 (0⩽k⩽d−1). In this work we consider a kind of AGQGs, called restricted allowable generalized quantum gates (RAGQGs), satisfying 0 < Σ _k=0 ^d−1|c _k |⩽1. Some properties of the set RAGQG(H) of all RAGQGs on H are established. Especially, we prove that the extreme points of RAGQG(H) are exactly unitary operators on H and that B(H)=R ⁺ RAGQG(H).     

高次模碳纤维微波加热装置的设计与实验

为了使T300碳纤维达到微波石墨化的反应温度,需要对其进行微波加热实验。设计了一种基于TM_(110)高次横磁波模式的碳纤维微波加热装置,该装置是一种圆柱形谐振腔,腔体两侧分别存在一个轴向电场最大值区域,理论上可以同时加热多束碳纤维。为了保证碳纤维的加热效率,在设计时需要同时兼顾腔体的谐振频率和阻抗匹配特性。使用仿真软件优化了耦合点的具体位置,并对优化后的圆柱形谐振腔进行了多物理场的耦合仿真。仿真结果表明:出口处碳纤维的表面温度最高,且靠近耦合点的左侧碳纤维温度高于右侧。实验结果与仿真结果较为吻合,验证了碳纤维微波加热的可行性和装置的有效性。     

Microwave sintering of Ca<Subscript>0.6</Subscript>La<Subscript>0.2667</Subscript>TiO<Subscript>3</Subscript> microwave dielectric ceramics

Ca_0.6La_0.2667TiO₃ ceramics were prepared by conventional and microwave sintering techniques and their sinterability, microstructure, and microwave dielectric properties were investigated in detail for comparison. Densified Ca_0.6La_0.2667TiO₃ ceramics were obtained by microwave sintering at 1350°C for 30 min and by conventional sintering at 1450°C for 4 h. An unusual phenomenon was found that some larger grains (grain size range: 8–10 μm) inclined to assemble in one area but some smaller ones (grain size range: 2–4 μm) inclined to gather in another area in the microwave sintered ceramics. The microwave dielectric properties of Ca_0.6La_0.2667TiO₃ ceramics prepared by microwave sintering at 1350°C were as follows: dielectric constant (ɛ _r) = 119.6, quality factor (Qf) = 17858.5 GHz, and temperature coefficient of resonant frequency (τ _f) = 155.5 ppm/°C. In contrast, the microwave dielectric properties of the ceramics prepared by conventional sintering at 1450°C were ɛ _r = 117.4, Qf = 13375 GHz, and τ _f = 217.2 ppm/°C.     

Some results on covers of complete graphs

In the present note, (n, r, c)-covers withn = (2r−1)c and bipartite double covers of complete graphs are classified.     

Enhanced parametric amplification in slow-light photonic crystal waveguides

We demonstrate both theoretically and numerically that slow light can enhance the parametric process of silicon in photonic crystal line-defect waveguides. Specifically, to get the desired gain, the pump power for a given gain medium length or the gain medium length for given pump power can be reduced by （c/vgn）^2 when slow light waveguides are used, where n is the material index of conventional waveguide, vg is the group velocity of the slow light waveguide and c is the light velocity in vacuum.     

Secular variations in geomagnetic Field caused by the fluctuations in the fluid flow in the outer-core

The theoretical spatial power spectrum of a dipole located at ( r0, θ60, φ0) can be fitted by a straight line in logarithmic scale when n is larger than 2. Based on the spherical harmonic coefficients of geomagnetic field during 1900-1995, the depth( r0) of source-layer of every 5a is calculated. The results show that r0 decreased from 1900 to 1960; abruptly changed from 1945 to 1950 related to some kind of disturbance; decreased again from 1960 to 1975; increased from 1975 to 1985; and kept stable after 1985. Then the mean energy density (MED) of each year is induced to its corresponding r0. We find that MED of dipole field kept nearly unchanged from 1900 to 1960. While, MED of non-dipole field increased. The change of r0 coinciding with the geomagnetic secular variation, impulse and length-of-day happened around 1970, suggesting that the change of r0 may be related to the impulse. The variation in the fluid flow in the outer-core caused by the core-mantle coupling is a plausible candidate in explaining the changes in geomagnetic Jerk, length-of-day, and r0.     

Cretaceous synfolding remagnetization components revealing tectonic rotation of the middle Yangtze fold belt

To reveal the deformation process of the middle Yangtze fold belt, we conducted a paleomagnetic study on Middle Triassic limestones and Middle to Late Jurassic sandstones from Wanzhou, Chongqing. Stepwise thermal and alternating field demagnetization were used to isolate the multi-component re-manent magnetizations. The Jurassic samples were overprinted by recent geomagnetic field, while three magnetization components were isolated from the Middle Triassic samples. A low temperature component (LTC) was isolated at temperatures below 200℃, an intermediate temperature component (ITC) at 200―360℃ and a high temperature component (HTC) at 400―460℃. The LTC is distributed around the present-day Earth magnetic field, probably a viscous component. Stepwise unfolding indi-cates that the maximum precision parameters of ITC and HTC components are achieved at 33±8% and 50±27% (with 95% confidence) unfolding, respectively. The best-clustered ITC mean direction, Dec = 11.2°, Inc = 45.2° (α₉₅ = 4.5°, N = 34), corresponding to a paleopole at 79.3°N, 219.5°E (d_p = 3.6°, d_m = 5.7°), is consistent with the Cretaceous reference direction of the South China Block (SCB). The best-clustered HTC mean direction (taking 70% unfolding), Dec = 24.2°, Inc =49.0° (α₉₅ = 3.6°, N = 23), corresponding to a paleopole at 69.2°N, 195.5°E (d_p =3.1°, d_m = 4.8°), suggests a clockwise rotation of 12.8°±3.5°. These synfolding remagnetization components clearly reveal that a clockwise rotation happened at the middle stage of folding, thus supporting that at least part of the variation in fold axis strikes is due to orocline rotation. Combined with published data, our analysis indicates that the Wan-zhou-Xiangxi segment of the middle Yangtze fold belt experienced oroclinal bending. Furthermore, a published post-folding component isolated from the Middle Triassic Puqi Formation suggests a 27.5°±5.8° clockwise rotation, confirming that at least 50% of the observed clockwise rotations in the eastern middle Yangtze fold belt can be attributed to oroclinal bending. The remagnetization data and geological evidence observed in the middle Yangtze fold belt suggest that collision between SCB and North China Block (NCB) probably lasted till the early period of Early Cretaceous.     

Fabrication and superconducting properties of nano-SiC doped MgB2 tapes

Nano-SiC doped MgB2 tapes were prepared by the in situ powder-in-tube method. Heat treatment was performed at 650℃ for 1 h. XRD data indicate that SiC particles had reacted with the MgB2 during sintering process. MgB2 core seemed to be denser after SiC doping, and the critical temperature was slightly depressed. The critical current density Jc of the SiC doped tapes was significantly enhanced in magnetic fields up to 14 T compared to the undoped ones. For the 5% SiC doped samples, Jc was in- creased by a factor of 32 at 4.2 K, 10 T. The enhancement of Jc-B properties in SiC doped MgB2 tapes is considered to be due to the enhancement of grain linkages and the introduction of effective flux pining centers. The substitution of B by C in MgB2 grains is thought to be the main reason for the improve- ment of the flux pinning ability in SiC doped MgB2 tapes.     

Hydrophobic mechanism and criterion of lotus-leaf-like micro-convex-concave surface

According to the principle that the contact angle of liquid droplet always increases on a limited liquid-solid interface,it is suggested that the integration of many small-size limited liquid-solid interfaces results in the increase of the hydrophobicity of lotus-leaf-like micro-convex-concave surfaces.Mathematical equations of the stability of liquid-droplets on the surface of lotus-leaf-like structure were established.The relationship between the theoretical critical-radius of the void of micro-convex-concave surface and the nature of the solid and the liquid was drawn.The three conditions of realizing hydrophobicity were described.The result of computation has shown that when the radius of the void of micro-concave-convex surface is less than the theoretical critical-radius r c,the droplets may always be in a stable state on the solid surface with the contact angle greater than 90°.Theminimum area of the liquid-solid interface and low surface energy of solids are important factors in realizing hydrophobicity.The effective work of adhesion W a ’ was proposed as a criterion for measuring the hydrophobic ability of the solid surface.     

Correlation of morphological anisotropy and Lankford value of deep drawing sheets hot-rolled by compact strip production

Cold-rolled steel sheets in automotive applications require an excellent deep draw ability, which is characterized by the Lankford value (r-value). In this study, a correlation was identified between r-value and pancake-shaped grain flatness which is indicated as the ratio of grain diameter in the rolling direction (RD) and normal direction (ND) of sheets (d_r/d_n). A mathematical model (r=e0.345(d_n-1/2-d_r-1/2)) was developed to calculate r-value by the microstructure of steel sheets hot-rolled by compact strip production (CSP). It is shown that the r-value is higher, if the microstructure of steel sheet is of pancake-shaped grains elongated in the rolling direction. The calculated r-value is confirmed to fit exactly to the measured one from the large-scale production.     

Study on the charge transference and local magnetic moment of yttrium-cobalt compound

The electronic charge transference and local magnetic moment of the YCo₅ intermetallic compound were calculated using SCF-MO-DVXα method and multiple cluster model. The result shows that about one 4d-electron is transferred from anY atom to Co₁(2c), and the calculated local spin magnetic moments of Co_I(2c) and Co_II(3g) atoms in YCo₅ compound are 1.33 and 1.48μ _B , respectively, which are in very good agreement with experiments. Supported by the National Natural Science Foundation of China Qiao Haoxue: born in Apr. 1970, Master     

小口径单壁碳纳米管的最低光学声子模

扶手型及锯齿形单壁碳纳米管的最低光学声子模并不一定是E_2g或E₂模.对于轴向晶格常数比横截面周长大的单壁碳纳米管来说,其最低光学声子模是垂直于其轴向方向振动的一种驻波.通过基于经验势函数的模拟计算,确定这种光学声子模的能量是正比于碳纳米半径的.     

Molecule modification and mass deposition induced by the implantation of low energy Fe+ ion beams into amino acids

Fe⁺ ion beams with the energy of 110 keV were implanted into films of L(+)-cysteine (HSCH₂CH(NH₂)COOH). One of the single crystals grown in hydrochloric acid solution with the implanted samples through slow evaporation was structurally characterized by the X-ray crystallography. The crystal is monoclinic, space group C2, with a = 1.8534(4) nm, b = 0.5234(1) nm, c = 0.7212(1) nm, β= 103.72°, V = 0.67965(3) nm³, Z = 4, F(000) = 144.0, D{clac} = 1.763 g · cm⁻³, μ(MoK _a = 1.06 mm⁻¹, T = 293(2) K. R = 0.0379, wR = 0.0835 for 660 observed reflections (I > 2σ(I)). The structural formula of the crystal compound is (CH₂CH(NH₂)NO₂)ClFe (M _r = 180.38 u). Products of heavy ion beam irradiation were purified and it was directly confirmed that the implanted Fe⁺ ions had been deposited in the novel molecules. The same doses of Fe⁺ ion beams of the same energy were implanted into films of L(+)-cysteine hydrochloride monohydrate. FTIR spectroscopy of the implanted samples proved that some of the original molecules were seriously damaged and significant modifications were induced.     

遮光对红鳞蒲桃幼苗光合特性的影响

为了解红鳞蒲桃（Syzygium hancei）对光能的需求及适应性,以红鳞蒲桃幼苗为材料,设置透光率分别为100.0%、72.3%、48.6%、24.9%的4种光照处理,测定其光合作用参数、光响应参数、叶绿素含量等数据,研究不同遮光处理对其光合特性的影响。结果表明：（1）红鳞蒲桃是喜光树种,红鳞蒲桃幼苗净光合速率（Net Photosynthetic Rate,P_n）、气孔导度（Stomatal Conductance,G_s）日均值随着遮光程度的增加而减小,胞间CO₂浓度（Intercellular Carbon Dioxide Concentration,C_i）日均值随之增大,过度遮光下（透光率为48.6%和24.9%）,蒸腾速率（Transpiration Rate,T_r）日均值显著低于全光照;（2）遮光条件下,红鳞蒲桃幼苗净光合速率下降可能是非气孔限制引起的;（3）红鳞蒲桃幼苗的最大净光合速率（Maximum Net Photosynthetic Rate,P_max）、光补偿点（Light Compensation Point,LCP）、光饱和点（Light Saturation Point,LSP）、暗呼吸速率（Respiration Rate,R_d）均随着光照强度的增加而显著增加;（4）红鳞蒲桃幼苗叶绿素a、叶绿素b及叶绿素（a+b）的含量均随着遮光程度的增加而显著增加,叶绿素a/b的值随之减小。红鳞蒲桃在幼苗期具有较明显的喜光性,因此,在红鳞蒲桃幼苗的培育及种群的恢复过程中,可通过疏伐、修剪枝条等措施来增加林内的透光量,为处于幼苗时期的红鳞蒲桃创造适宜的光照环境,为其自然更新提供良好条件。     

紧凑型像散补偿的克尔透镜锁模腔

对紧凑型克尔透镜锁模腔的特性进行理论研究,运用ABCD定律得到优化的折叠角,从而保证晶体中的光束为高斯基模,建立含克尔介质在内的三镜腔的光线矩阵,以此计算CW和KLM运转状态下腔的稳定性条件、腔内某些位置的光束半径,以及输出镜处的克尔强度与内腔等效距离的关系,计算结果表明,当激光器工作于稳定区的远端边缘时,才能实现稳定的克尔透镜锁模。