一道竞赛题的简解

题目（2006年全国初中数学竞赛（浙江赛区）初赛试题第13题）如图,正方形ABCD和正方形CGEF的边长分别是2和3,且点B,C,G在同一直线上,M是线段AE的中点,连结MF,则MF的长为.解析（坐标法）以BG所在直线为x轴,以BA所在直线为y轴,建立直角坐标系.则A（0,2）,F（2,3）,E（5,3）,AE中点M{...     

Surface relief resonant Brewster filters with multiple channels

In this paper, a new type of resonant Brewster filters （RBF） with surface relief structure for the multiple channels is first presented by using the rigorous coupled-wave analysis and the S-matrix method. By tuning the depth of homogeneous layer which is under the surface relief structure, the multiple channels phenomenon is obtained. Long range, extremely low sidebands and multiple channels are found when the RBF with surface relief structure is illuminated with Transverse Magnetic incident polarization light near the Brewster angle calculated with the effective media theory of sub wavelength grating. Moreover, the wavelengths of RBF with surface relief structure can be easily shifted by changing the depth of homogeneous layer while its optical properties such as low sideband reflection and narrow band are not spoiled when the depth is changed. Furthermore, the variation of the grating thickness does not effectively change the resonant wavelength of RBF, but have a remarkable effect on its line width, which is very useful for designing such filters with different line widths at desired wavelength.     

PLANE ELASTIC PROBLEMS OF DIFFERENT MEDIA WITH CRACKS ON THE INTERFACE

The equllibrium problem for the infinite elastic plane consisting of two different media with many cracks on the interface is discussed.It is transferred to a boundary value problem for analytic functions and then further reduced to a singular integral equation,the unique solvability and an effective method of solution for which are eatablished.A practical example in applications is illustrated,the solution of which is obtained in closed form.     

Influence of coating material on laser damage threshold of TiO_2 films

The optical property,structure,surface properties(roughness and defect density)and laser-induced dam- age threshold(LIDT)of TiO_2 films deposited by electronic beam(EB)evaporation of TiO_2(rutile),TiO_2 (anatase)and TiO_2 Ta_2O_5 composite materials are comparatively studied.All films show the polycrys- talline anatase TiO_2 structure.The loose sintering state and phase transformation during evaporating TiO_2 anatase slice lead to the high surface defect density,roughness and extinction coefficient,and low LIDT of films.The TiO_2 Ta_2O_5 composite films have the lowest extinction coefficient and the highest LIDT among all samples investigated.Guidance of selecting materials for high LIDT laser mirrors is given.     

抛体运动的讨论

抛体运动分平抛运动和斜抛运动．1平抛运动抛出的物体的初速度是水平方向的抛体运动叫做平抛运动．平抛运动在忽略空气阻力时,可以把它看作是水平方向的匀速直线运动和竖直方向的自由落体运动的叠加．在竖直平面内取直角坐标系如图1,并把物体被抛出的那一点作为坐标的原点O,设水平初速度为v_0．     

《音乐中的科学》前言

英国著名学者约翰.布莱金(1928～1999)说:"人类组织声音,声音也组织人类".这话的意思是,音乐和人类社会有着共生共存的关系,也就是说,音乐有助于规范人类的社会行为,改变生产与生活方式,强化、提升和净化人类经验和情感.我国春秋战国时期的著作《周礼》则说:"凡音者,生人心者也,情动于中,故形于声:声成文,谓之音."还说:"是故审声以知     

欢迎有敬业精神的同志自荐为本刊编委

本刊编委产生的方式有三种：自荐、推荐和聘请，自荐是本刊提倡的方式。凡不计报酬、乐意献身于科技期刊出版事业、基本具有副高级以上技术职称的同志,都可以自荐为本刊编委。自荐者可与本刊联络处联系，地址：北京市81信箱66分箱 刘建林，邮政编码：100095。 《光谱实验室》编辑部     

薄壁梁在纯弯曲下的非线性变形

本文对薄壁梁在纯弯曲作用下给出了一个用有限单元法进行非线性分析的方案。根据这一方案编写了适用于分析任意截面的薄壁梁的通用程序。用这个程序计算了若干例题,结果是满意的。本文仔细分析了一个槽形截面梁的大变形并给出了其临界弯矩。     

说板——力学史杂谈之二十一

简要叙述了弹性薄板理论从提出到建立的过程.