二阶线性方程边值问题解的变号性质

一、引言 我们研究的是边值问题的解在[0,1]上的变号次数。其中q(x),f(x)。在[0,1]上连续,a,a′β,β′保证(1),(2)的解存在[1]。主要结果是当q(x)≤π~2-d,d>0时。(1),(2)的解u(x)在[0,1]上变号的次数最多不超过f(x)在[0,1]上变号的次数加两次变号,即线性系统因外力引起的响应函数的震荡次数不超过外力振荡次数与固有振荡次数之和。     

550螯合树脂分离富集钴电解液中微量铜

本文研究了550螯合树脂对铜的吸附性能,进行了分离富集条件的选择,观察了铜与钴等多种共存离子的分离效果。结果表明,550螯合树脂对铜吸附性能良好,能从大量钴中分离微克量铜。拟定了钴电解液中微量铜的测定方法。初步应用效果好。回收率为90—102％,相对标准偏差小于5％。     

水相和有机相中钼的快速测定

国外曾有人提出在大于11.5M的磷酸介质中,用亚铁直接还原滴定水相中六价钼。方法简便,测定纯钼溶液中的钼,准确度高。但由于变价元素如铀,铬等严重干扰,限制了方法的应用。我们在观察了一些元素对亚铁还原滴定钼的影响后,选用六偏磷酸钠络合消除铀的干扰,同时,用抗坏血酸还原隐蔽Cr(Ⅵ),Ce(Ⅳ)等元素的干扰(此     

分布反射面发射垂直微腔半导体激光器的微腔效应

从理论上分析了作为垂直腔面发射半导体激光器反馈面的异质多层结构对光腔中激光传输振荡过程的影响．指出其相位匹配和等效反射面位置对改善激光器性能的重要作用．说明目前这种被认为很有希望的微腔结构，实际上难以观察到微腔效应的物理根源，并指出其改进的途径． 关键词：     

WHISPERING-GALLERY MODE STRUCTURE IN SEMICONDUCTOR MICRODISK LASERS AND CONTROL OF THE SPONTANEOUS EMISSION FACTOR

The mode density and cross-sectional area of whispering-gallery modes of various possible polarizations existing in a microdisk cavity structure have been investigated and compared in some detail. Their variations with the disk thickness and radius have been calculated and the behavior of the spontaneous emission factor controlled by the microdisk structure have been shown. It is found that for a given microdisk thickness, the spontaneous emission factor increases with decreasing microdisk radius, but decreases after passing a maximum value, This non-monotonic behavior has never been noted before by others. The variation of spontaneous emission factor with respect to microdisk thickness also exhibits similar behavior. For a microdisk laser emitting at 1.5 μm wavelength, the enhanced spontaneous emiasion factor can barely exceed 0.2. A device configuration for improving the coupling between the whispering-gallery mode and the active region, and for leading the laser beam out of this high-Q microcavity is proposad, and its feasibility in realizing a thresholdless laser is discussed.