A Simple Calculation Approach for the Second－Harmonic Sound Beam Generated by an Arbitrary Distribution Source

We present a simple calculation approach for the fundamental and second-harmonic sound beams with an arbitrary distribution source in the quasilinear approximation. The analysis is based on the assumption that the source function with an arbitrary geometry and distribution is expanded into the sum of a set of two-dimensional Gaussian functions. The two- and five-dimensional integral solutions for the fundamental and second-harmonic fields are, respectively, reduced in terms of Gaussian functions and simple one-dimensional integrals. The numerical evaluation of field distributions is then greatly simplified.     

Supercontinuum Generation in a Photonic Crystal Fibre

Nearly 1000-nm broad continuum from 390 nm to 1370 nm is generated in a 2-m long photonic crystal fibre. The maximum total power of supercontinuum is measured to be 60mW with the pumping power of 800mW output from a 200-fs Ti:sapphire laser. The evolution of the pumping light into supercontinuum is experimentally studied in detail. It is found that the mechanism for supercontinuum generation has direct relations with Raman effect and soliton effect, and the four-wave mixing plays an important role in the last phase of the supercontinuum generation.     

反常色散区高阶色散对啁啾演变的影响

在单模光纤反常色散区，首次推出了带有初始啁啾的高斯脉冲在二阶，三阶速度色散效作用产生的啁啾解析表达式，用数值法模拟了光纤中啁啾演变过程，研究结果表明，二阶，三阶色散导致非线性啁啾，三阶色散只在脉冲沿附产生啁啾极值，从而使脉冲在前后沿产生振荡结构，当具有负初始啁呼的高斯脉冲入射时，在脉冲中心小区域内净啁啾等于零，可形成孤子。     

某些周期函数类的n宽度

设G是B核,记用d_n,dⁿ和δ_n分别表示Kolmogorov,Gel''fand和线性n宽度。本文求出了和的精确值,找到了各自的极子空间(或最优算子)。由此证明了Pinkus猜想(即是的极子空间,)在p=q时的正确性。     

分离变量法与等腰直角三角形波导的边值问题

根据叠加原理，讨论等腰直角三角形波导边值问题的IE波解和TM波解，纠正有关文献中的错误解法，指出分离变量法的适用条件。     

超模的同构定理

本文利用模论导出超模的三个同构定理,同时,给出超模的Jordan-Holder定理,最后,探讨了超模的基本关系∈~*,并研究其性质．     

TUHF代数上的Lie导子

证明了TUHF代数丁上的Lie导子L形如D l．其中D是T上的结合导子，l是从T到它的中心Z上的线性映射且零化T中的括积．     

X射线晶体谱仪的设计

分析了Z箍缩等离子体的辐射特性;介绍了用平面晶体作为分光元件的X射线晶体谱仪的原理、结构参数设计及性能分析;对晶体谱仪测量X射线辐射谱的初步实验进行分析,给出预估的实验结果。