Light Irradiation through Small Particles and Its Applications for Surface Nanostructuring in Near Field

We investigate the light scattering through small particles and its applications in nanostructuring, such as nanobumping, nanopatterning and dry laser cleaning. The theoretical calculation based on Mie theory provides an exact solution for sphere cavity resonance and plasmon resonance, which are two mechanisms for dielectric and metallic particles assisted surface nanostructuring in near field. The experimental results indicate that nanobumps on glass surface and subwavelength holes array on silicon surface can be formed without cracks with the self-assembly of 1 μm silica particle mask under laser irradiation. It is also found that the scattering wave by 40 nm gold particles can propagate 200 times away in terms of particle radius as recorded by photoresist under the UV light irradiation. Meanwhile, dry laser cleaning of 40nm gold particle on silicon wafer is demonstrated at plasmonic resonance frequency. The total cleaning efficiency is estimated to be 80%.     

共振小实验

共振现象非常有趣，下面提供3个简单易行的小实验，不妨做一做，亲自感悟一下共振吧．     

Ultralite系列DPSS激光器

镭宝光电技术有限公司的Ultralite系列DPSS激光器，具有高性能、小体积、长寿命的特点，它按照输出波长的不同分为6种机型，有1064nm，1053nm，1319nm，660nm，527nm，355nm等输出波长，适用于各种科研、精细工业加工领域的应用。     

小地老虎性信息素分泌腺体的部位及其超微结构

对羽化不同天数(1、3、5、7 d)小地老虎Agrotis ypsilon(Rottemberg)雌蛾性信息素分泌腺体的位置及结构进行了光学显微镜、扫描电镜、透射电镜的观察.结果表明:小地老虎性信息素分泌腺体位于腹部末端第8、9节节间膜腹面.求偶时,伸出节间膜,为一黄白色的囊泡.腺体表面分布着饱满的锥状体.腺体细胞呈单层排列,中央细胞为柱状,细胞核为椭圆形.细胞与细胞间有明显的胞连接,细胞基底膜基褶较多,质膜上分布着微绒毛,并与内表皮连接,内表皮之上含有多层几丁质,胞质中含有空泡、线粒体、脂质粒及光面内质网,并且随着蛾龄的增加,脂质粒和光面内质网的数量会显著增多.研究小地老虎性信息素腺体发育过程中的超微结构,有助于阐明性信息素生物合成、释放的机制.     

关于Steinmetz的几个小函数定理的注记

This paper studies the Nevanlinna second fundamental theorem,and the extra term εT(r,f) in the n-small-functions theorem of Steinmetz is removed.     

半线性Klein—Gordon方程Cauchy问题整体解存在定理

本文讨论半线性Klein—Gordon方程Cauchy问题。对初值φ(x)、ψ(x),对空间维数n及半线性项加以适当限制,在Sobolev空间框架下、用不动点原理得到了整体解的存在唯一性。     

超导体/正常金属/半导体/正常金属/超导体结的研究

在约瑟夫逊效应的理论研究中,大体上有微观和宏观两种方法。采用的是宏观的方法。利用推广的Ja-cobson方法,讨论了超导体/正常金属/半导体/正常金属/超导体结的约瑟夫逊效应,并在小电流假设下,推导出了该结的电流密度与位相之间的关系。     

Small Compact Perturbation of Operators in B∞（Ω）

Abstract： We consider an approximation problem related to strongly irreducible operators, that is, does the direct sum of a strongly irreducible operator in B∞（Ω） and certain operator have a small compact perturbation which is a strongly irreducible operator in B∞（Ω）？ In this paper, we prove that the direct sum of any strongly irreducible operator in B∞（Ω） and certain biquasitriangular operator have small compact perturbations which are strongly irreducible operators in B∞（Ω）.     

小流量旋涡泵的理论设计与试验研究

建立了以效率和工作范围为主线的小流量旋涡泵的理论设计方法，并对ＸＷＢ－３／１３０和ＸＷＢ－１／１１０两台旋涡泵进行了试验研究．理论分析和试验结果表明：较大的流道面积Ｆ可以拓宽泵的工作范围，较大的径向间隙△ｐ和轴向单边间隙δα会降低泵的扬程和效率。     

亚纯函数涉及小函数的奇异方向

本文研究了平面上亚纯函数的奇异方向.利用角域内Ahlfors-Shimize特征函数和几个已有的关于函数增长性估计的引理,证明了复平面上的零级超越亚纯函数存在一条涉及小函数的T方向.推广了吴昭君和孙道椿给出的结果.