矩形截面多量子阱脊形波导模式特性

本文根据多量子阱双折射率的性质,运用有效折射率法分析了矩形截面多量子阱脊形波导E_mn^x模和模E_mn^y的模式特性。     

Strictly pseudoconvex domains and algebraic varieties

In the paper, we consider applications of strictly pseudoconvex domains to the problems of algebraicity and rationality. We give a new proof of the Kodaira theorem on the algebraicity of a surface and we also prove a multidimensional version of this theorem. Theorems analogous to the Hodge index theorem and the Lefschetz theorem about (1, 1)-classes are obtained for strictly pseudoconvex domains. Conjectures on the geometry of strictly pseudoconvex domains on algebraic surfaces are formulated. Translated fromMatematicheskie Zametki, Vol. 60, No. 3, pp. 414–422, September, 1996. This research was supported by the Russian Foundation for Basic Research under grant No. 93-01-00225 and by the International Science Foundation under grant No. 508.     

外混合气溶胶粒子光散射的等效性

以两种典型的气溶胶粒子组成的单分散和多分散处理混合气溶胶粒子系统的光散射的各效率因子，各散射截面和散射相函数分析了以等效折射率描述由具有不同折射率的各种粒子组成的混合气溶胶粒子系统的适用性，结果表明，对单分散系统，本不同的混合比下对于许多尺度参数吸收效率因子和散射相函数的等效性很差，对多分散系统，在不同的混合比下等效性较稳定但各散射光学量的余差很大，因而对多分散系外混合气溶胶粒子系统如使用等效折射     

An Oscillation Theorem for a Sturm -Liouville Eigenvalue Problem

We consider a certain Sturm - Liouville eigenvalue problem with self- adjoint and non -separated boundary conditions. We derive an explicit formula for the oscillation number of any given eigenfunction.     

EELS studies of surface phonons on Ag(111)

High-resolution electron energy loss spectroscopy is used to study surface phonons in the direction of qG on Ag(111). The gap mode (S₂) at in the surface Brillouin zone is measured for the first time. We have also measured the Rayleigh mode and the resonance mode up to the zone boundary. The results are complementary to the earlier He atom scattering measurements and are in good agreement with the first-principles calculations performed recently.     

Dirac operators in Boson-Fermion Fock spaces and supersymmetric quantum field theory

Infinite dimensional analysis is developed on an abstract Boson-Fermion Fock space. A general class of Dirac operators acting there is introduced and properties of them are investigated. An index theorem for the Dirac operators is established in terms of a path integral on a loop space. It is shown that the abstract formalism presented here gives a mathematical unification for some models of supersymmetric quantum field theory.     

Propagation of partially coherent Gaussian laser beams in graded-index fibres

Using statistical approach the author has solved the equations for the mutual coherence function of partially coherent Gaussian laser beams in graded-index fibres. The expressions for the complex degree of coherence and the intensity distribution have also been shown that the self-focusing length inside the fibre depends upon the degree of coherence. The result have been discussed for both conical and cylindrical guides.     

正入射全自动扫描反射率绝对值光谱仪的研制

采用Ｍ型棱镜分光束法研制了一台全自动扫描绝对反射率光谱仪，测量光谱范围为３５０ｎｍ～８２０ｎｍ（１．５～３．５ｅＶ），样品入射角为５°，测量和数据采集处理全过程由计算机控制．测量绝对值精度优于±１％，测量重复性优于０．１％．采用本谱仪对热蒸发金膜和（１１１）锗本征体单晶进行测量，获得了与椭偏测量以及文献报道相一致的结果．     

用YAG激光制备类金刚石薄膜及其光学折射率研究

用高功率的Ｎｄ＾３＋：ＹＡＧ脉冲激光轰击真空室内的石墨靶，形成激光等离子体雾状物质，在硅衬底上沉积形成类金刚石薄膜，用椭圆偏振光谱法测量不同衬底温度下制备的系列样品的厚度和折射率，发现随着衬底温度的升高，薄膜的厚度减小而的折射率增大，这种可以控制折射率米化的薄膜，可能为光学增透增反膜的制备提供一种新方法。