A generalized Hausdorff dimension for functions and sets

Let E be a compact subset of the n-dimensional unit cube, 1_n, and let C be a collection of convex bodies, all of positive n-dimensional Lebesgue measure, such that C contains bodies with arbitrarily small measure. The dimension of E with respect to the covering class C is defined to be the number

d_C(E) = sup(β:H_{β, C}(E) > 0),

where H_{β, C} is the outer measure

inf(Ʃm(C_i)^β:UC_i Ↄ E, C_i ϵ C) .

Only the one and two-dimensional cases are studied. Moreover, the covering classes considered are those consisting of intervals and rectangles, parallel to the coordinate axes, and those closed under translations. A covering class is identified with a set of points in the left-open portion, 1’_n, of 1_n, whose closure intersects 1_n - 1’_n. For n = 2, the outer measure H_{β, C} is adopted in place of the usual:

Inf(Ʃ(diam. (C_i))^β: UC_i Ↄ E, C_i ϵ C),

for the purpose of studying the influence of the shape of the covering sets on the dimension d_C(E).

If E is a closed set in 1₁, let M(E) be the class of all non-decreasing functions μ(x), supported on E with μ(x) = 0, x ≤ 0 and μ(x) = 1, x ≥ 1. Define for each μ ϵ M(E),

d_C(μ) = lim/c → inf/0 log ∆μ(c)/log c , (c ϵ C)

where ∆μ(c) = v/x (μ(x+c) – μ(x)). It is shown that

d_C(E) = sup (d_C(μ):μ ϵ M(E)).

This notion of dimension is extended to a certain class Ӻ of sub-additive functions, and the problem of studying the behavior of d_C(E) as a function of the covering class C is reduced to the study of d_C(f) where f ϵ Ӻ. Specifically, the set of points in 1₁,

(*) {d_B(F), d_C(f)): f ϵ Ӻ}

is characterized by a comparison of the relative positions of the points of B and C. A region of the form (*) is always closed and doubly-starred with respect to the points (0, 0) and (1, 1). Conversely, given any closed region in 1₂, doubly-starred with respect to (0, 0) and (1, 1), there are covering classes B and C such that (*) is exactly that region. All of the results are shown to apply to the dimension of closed sets E. Similar results can be obtained when a finite number of covering classes are considered.

In two dimensions, the notion of dimension is extended to the class M, of functions f(x, y), non-decreasing in x and y, supported on 1₂ with f(x, y) = 0 for x · y = 0 and f(1, 1) = 1, by the formula

d_C(f) = lim/s · t → inf/0 log ∆f(s, t)/log s · t , (s, t) ϵ C

where

∆f(s, t) = V/x, y (f(x+s, y+t) – f(x+s, y) – f(x, y+t) + f(x, t)).

A characterization of the equivalence d_C1(f) = d_C2(f) for all f ϵ M, is given by comparison of the gaps in the sets of products s · t and quotients s/t, (s, t) ϵ C_i (I = 1, 2).

基于电光材料的光学相控阵技术研究进展

综述了基于电光材料的光学相控阵(OPA)的研究进展。介绍了光学相控阵技术的基本原理以及不同电光材料(铌酸锂电光晶体,AlGaAs光波导,液晶和掺镧锆钛酸铅(PLZT)电光陶瓷)光学相控阵技术的基本构想和涉及的关键技术;着重介绍近年来基于PLZT电光陶瓷材料光学相控阵技术的发展情况以及在这方面的最新研究成果,包括单级相控阵、级联相控阵、不同电极结构(表面电极和上下电极结构)相控阵技术等;最后简要介绍了光学相控阵技术在激光雷达等军事领域中的应用。

四区域法消除偏振棱镜缺陷对波片相位延迟测量的影响

在起偏器待测波片检偏器系统基础上提出一种四区域测量波片相位延迟量的方法。调整待测波片和检偏器的方位角,获得相应的四组光强值,通过线性运算得到待测波片的相位延迟量,完全消除了起偏器和检偏器不完全消光带来的误差。由于测量系统中不存在标准波片或其他相位调制元件,允许测量波长仅受偏振棱镜和探测器的限制,因此四区域法可适用于很大波长范围内的波片测量。以λ/4波片为例,理论分析了测量系统利用四区域测量法后的仪器误差为σ≤±3.49065×10-3rad(约0.2°),精度比原算法提高约1个数量级。实验验证了四区域法能有效提高系统精度。

双菱体λ/4消色差相位延迟器的设计

根据菲涅尔全内反射相变理论,给出了双菱体λ/4消色差器的结构设计、性能分析和测量方法.由有效通光孔径和光线追迹设计出BK7玻璃在波长532 nm时相位延迟λ/4的双菱体的结构,用作532 nm至1 064 nm波长范围的标准λ/4相位延迟器.理论分析了入射角变化和波长变化对双菱体相位延迟的影响,当入射角变化限制在±4.3°以内时,其影响得到补偿；波长从532 nm到1 064 nm产生的误差为－0.65°.采用椭偏法中的消光技术,分别实测了双菱体在532 nm和1 064 nm波长下的相位延迟为：90.08±0.14°和88.99±0.1°,可知两不同波长产生的相位延迟误差为－1.09°.

复折射率光纤传输特性分析的Davidenko方法

增益或损耗对光纤的传输特性影响很大。使用Davidenko方法对复折射率光纤的传输特性进行了分析。研究了复折射率纤芯或复折射率包层阶跃光纤,通过比较发现,使用Davidenko方法得到的解与精确解符合得很好。对于芯区为复折射介质的光纤,HE11模与LP01模增益值偏差约为0.6%;对于包层区为复折射率介质的光纤,HE11模与LP01模增益值偏差约为2%。实际研究工作中,为了得到更精确的结果,应该求解全矢量的复本征方程,尤其是包层具有增益或损耗的光纤。

Influência do equilíbrio redox na resistência a fibrose pulmonar induzida por bleomicina em camundongos

O desenvolvimento de fibrose pulmonar (FP) induzida por bleomicina tem sido associado com as características genéticas e estresse oxidativo. Nosso objetivo foi investigar a influência do equilíbrio redox sobre a resistência a fibrose pulmonar induzida por bleomicina em diferentes linhagens de camundongos. Uma única dose de bleomicina (0,1 U/camundongo) ou salina (50 mL) foi administrada por via intratraqueal (i.t.) em camundongos C57BL/6, DBA/2 e camundongos BALB/c. Vinte e um dias após a administração de bleomicina, a taxa de mortalidade foi acima de 50% em camundongos C57BL/6 e 20% em DBA/2, enquanto não foi observada em BALB/c. Houve um aumento na elastância (p<0.001), ΔP2 (p<0.05), ΔPtot (p<0.01) e DE,l (p<0.05) em camundongos C57BL/6. O volume dos septos aumentaram em camundongos C57BL/6 (p<0.05) e DBA/2 (p<0.001). Os níveis de INF-γ foram reduzidas em camundongos C57BL/6 (p<0.01). Níveis OH-prolina foram aumentados em camundongos C57BL/6 e DBA/2 (p<0.05). Atividade e expressão de SOD foram reduzidas em camundongos C57BL/6 e DBA/2 (p<0.001 e p<0.001, respectivamente), enquanto que a atividade de CAT reduziu em todas as linhagens (C57BL/6: p<0.05; DBA/2: p<0.01, BALB/c: p<0.01). A atividade da GPx e expressão GPx 1/2 diminuiram em camundongos C57BL/6 (p<0.001). Nós concluímos que a resistência da FP pode também estar relacionada com a atividade e expressão de SOD em camundongos BALB/c

氧化铋薄膜用于蓝光可录存储的研究

利用直流磁控溅射法在不同氧氩分压比条件下制备了BiOx薄膜。通过对薄膜在蓝光作用前后的反射率对比度变化的研究发现，氧氩分压比为50％时制备的薄膜具有最佳的光学对比度。利用X射线衍射仪(XRD)、X光电子能谱(XPS)和光谱仪研究了薄膜热处理前后的结构和光谱性质的变化。研究结果表明薄膜光学性质变化主要由薄膜中氧化铋的相变引起。蓝光静态测试结果显示氧氩分压比为50％条件下制备的BiOx薄膜具有很好好的记录敏感度，在11mW的记录功率和800ns的记录脉宽条件下，得到了52％的反射率对比度。此外，BiOx薄膜表现出了非常好的读出稳定性。

激光辐照引起Ge2Sb2Te5非晶态薄膜的电/光性质变化

研究了激光辐照引起Ge2Sb2Te5非晶态薄膜的电/光性质变化,当激光功率为580mW时薄膜的方块电阻有四个数量级（10^7～10^3Ω/□）的突变;对电阻发生突变前、中、后的三个样品进行了XRD测试,结果表明,随着激光功率的增大,薄膜由非晶态向晶态转变,用椭偏仪测试了结构转变前、中、后三个样品的光学常数,在可见光范围内薄膜的光学常数在波长相同情况下有：n（非晶态）〉n（中间态）〉n（晶态）,k（晶态）〉k（中间态）〉k（非晶态）,α（晶态）〉α（中间态）〉α（非晶态）,结合电阻变化曲线和XRD图谱讨论了激光辐照Ge2Sb2Te5非晶态薄膜的电/光性质变化同激光功率和结构转变之间的关系.

高重复率窄脉宽Nd∶YVO_4板条激光器

部分端面抽运的混合腔板条激光器是一种新型的全固态激光器,采用这种结构,实现了高重复率调Q运转。在脉冲抽运情况下,1kHz运转时,得到脉宽4.6ns,单脉冲能量4.5mJ的激光输出。在连续抽运调Q输出情况下,5kHz高重复率运转时,获得了脉宽6ns,单脉冲能量3.1mJ的脉冲序列输出,平均功率超过15W;当重复率高达25kHz时,得到脉宽9.5ns,单脉冲能量1.2mJ的激光输出,平均功率达30W。实验结果表明,输出水平还有很大的提升空间。

激光二极管端面抽运Nd∶YVO_4板条激光器及其热效应

激光器中激光介质采用板条状几何结构可以极大地降低它的热效应,但仍然需要进一步分析其影响,进而优化激光器效率。利用有限元分析方法分析了部分端面抽运的混合腔板条激光器中激光介质的热效应,计算的热透镜焦距与实测结果基本相符。分析了热效应对模式匹配的影响,分析结果对于优化激光器效率、改进谐振腔设计具有一定的参考价值。并在分析的基础上进行了混合腔实验,抽运功率为110 W时,获得连续输出激光功率41.5 W,光-光转换效率约38%,斜效率达58.8%,M2因子为非稳腔方向M2x=1.59,稳定腔方向M2y=1.55。

高重复频率、窄脉宽全固态光纤放大器种子源

高重复频率、窄脉宽的全固态激光器种子源级联光纤放大器是获得高功率脉冲激光输出的有效手段.短上能态寿命的Nd∶YVO4晶体在连续抽运、高重复频率Q开关工作时容易得到接近连续性能的平均输出功率.理论分析了声光(AO)调Q器件中影响输出能量和脉宽大小的主要因素,优化配置了腔型参数.利用激光二极管(LD)光纤耦合模块端面抽运Nd∶YVO4晶体,实现了声-光调Q重复频率100 kHz以上,脉宽20 ns以下,波长1064 nm的激光输出.在抽运功率5.7 W时,得到了脉宽15.3 ns,重复频率150 kHz的种子光输出,在级联单级光纤放大器后,得到了20 W的输出.

Organization, functions, and achievements of the Inter-American Tropical Tuna Commission

ENGLISH: The Inter-American Tropical Tuna Commission (IATTC) operates under the authority and direction of a Convention originally entered into by the governments of Costa Rica and the United states. The Convention, which came into force in 1950, is open to the adherence by other governments whose nationals participate in the fisheries for tropical tunas in the eastern Pacific Ocean. The member nations of the Commission now are France. Japan, Nicaragua. Panama, and the United States. This report is a description of the organization, functions. and achievements of the Commission. It has been prepared to provide in a convenient format answers to requests for information concerning the Commission. It replaces similar, earlier reports (Carroz, 1965; Spec. Rep., 1), which are now largely outdated. SPANISH: La Comisión Interamericana del Atún Tropical (CIAT) funciona bajo la autoridad y dirección de un Convenio firmado originalmente por los gobiernos de Costa Rica y los Estados Unidos de America. El Convenio, Que entre en vigencia en 1950, se encuentra libre para Que otros gobiernos cuyos ciudadanos participan en la pesca de los atunes tropicales en el Océano Pacifico oriental se afilien a 61. Las naciones actuales que son miembros de la Comisión son: Francia, Japón, Nicaragua, Panamá y los Estados Unidos. Este informe es una descripci6n de la organización, funciones y resultados de la Comisión. Se ha preparado para suministrar en forma conveniente, informaci6n sobre la Comisión. Este informe renueva otros anteriores similares (Carroz, 1965; CIAT, Inf. Esp., 1) que en su mayor parte determinados.

X 射线转换屏用Tb3+激活磷酸盐发光玻璃

Phosphate glasses 60P2O5-15CS2O- 15Al2O3-10BaO were made by high temperature melt-annealing method. The absorption spectra, excitation spectra and emission spectra of Gd³⁺-Tb³⁺ and Ce3+-Gd³⁺-Tb³⁺ co-doped phosphate glass 60P2O5-15CS2O- 15Al2O3-10BaO were studied. The experimental results indicate that, the doping of Ce3+ and Gd³⁺ in Tb³⁺ phosphate glass has a good effect on the 545 nm emission of Tb³⁺ at UV excitation. The Ce3+-Gd³⁺-Tb³⁺ co-doped phosphate glass have a good x-ray luminescence at the radiation of x-ray with energy in 50-120 kev, and a high space resolution. The Ce3+-Gd³⁺-Tb³⁺ co-doped phosphate luminescence glass is a promising material for using in the digital radiography system in medical devices.

不同玻璃组分对掺铒碲酸盐玻璃 光谱性质的影响

Series of tellurite glasses were prepared by traditional melting method, the glass composition were changed and the different effects of glass modifier oxides(alkali metals and alkaline earth metal oxides) and glass intermediate (Y2O3, GeO2, Nb2O5, WO3) on the optical and spectroscopic properties of Er³⁺ doped tellurite glass were researched and compared. The infrared transmitting spectra, absorption spectra and fluorescence spectra were tested, the results showed that Nb2O5 and WO3 in the glass act as part of the body's role in the formation of the network, caused the reduction of transmitting range in infrared wavelength, which decrease the transmitting properties of tellurite glass. The introduction of high valence cationic ions, WO3 especially, can increase the FWHM of Er³⁺ for the increased polarization effect. With the decreasing of cationic field of glass modifier ions, the ion filed of the environment around Er³⁺ increased, subsequently, the role of ligand field polarization effect reduced, which makes the luminescence lifetime increase, and on the contrary the FWHM decrease monotonously.

一种宽带拉曼放大碲酸盐玻璃的拉曼散射特性

The flattening and broadening effects of Ga2O3, GeO2, P2O5 in TeO2-BaCO3-SrCO3- Nb2O5 (TBSN) glass system were studied. The results showed that P2O5 can broaden the vibration band in Raman spectra and Ga2O3, GeO2 can flatten the spectra compared with TBSN glass. And also, they can extend the main vibration band and decrease the vibration intensity of 730 cm^-1 and 780 cm^-1 nonbridging oxygen connected with Te. They also make for the decrease of flatness in 600-870 cm^-1 vibration band and GeO2 has larger effect than Ga2O3 in weakening the vibration of nonbridging oxygen.