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．     

晶体管电视发射机上变频级的维修

淳安电视发射机有较好的性能，全国拥有量较多，但当它出现故障时，依靠万用表有时难以排除故障，一般得借助扫频仪等设备进行检修，笔者在此介绍一种利用场强仪检修的方法。上变频级工作原理上变频级的作用是将放大后的中频信号转换成发射频道的高频电视信号，其电路由晶振倍频器、混频器、混频滤波器、混频放大器等部分组成。本地振荡信号由中精度晶体振荡器（ZCW－２）产生的基频信号经倍频器倍频而成，基频信号经过由４BG２组成的电容耦合双调谐电路放大后经三极管倍频器（４BG３）倍频至所需的频率上（１～５频道为二倍频、６～１２…     

代理多重数字签名方案的改进

Wang Xiao-ming和Fu Fang-wei在Qi和Harn的代理多重数字签名方案的基础上,提出了一种防止伪造攻击的更为安全的方案。本文针对该方案的不足,在不引入第三方的情况下提出了一种更为安全而简洁的代理多重数字签名方案。     

德国新娘能否带来幸福？——明基并购西门子手机部门浅谈

跨国婚姻总是比较吸引眼球，如果对方是高大俊俏的欧洲新娘那轰动效应足以弥漫整个地球，TCL和阿尔卡特(ALCATEL)如此，明基和西门子(SIEMENS)也不例外，只是，前者的婚姻蜜月期很短暂，而后者似乎是一桩走向美满的婚姻。     

《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