关于一道光学习题的分析与思考

特殊形状的棱镜在控制光路传播方面有重要的应用价值.本文首先为一道以一种特殊形状棱镜为研究对象的习题提供了更为简便的求解方法,通过几何作图画出两次反射的虚像,发现入射界面的虚像与出射界面平行,解释了偏向角恒等于某一特殊值的本质原因.然后,文章详细地从光在棱镜中的折射率、入射点的位置、入射角大小、棱镜截面形状四个方面讨论了入射光线可以按习题中给定光路传播的条件.另外,基于以上分析,本文还对入射点位置对入射光线与法线相对位置的影响,入射界面上无盲区存在时棱镜截面的形状,以及出射光线展宽等问题进行了分析和讨论.

Analysis of stability for Taizishang slope under condition of atomization rainfall of jet overflows

Taizishang slope of Qingjiang Reservoir in Huibei is within the range of atomization rainfall. The authors created the finite element model with ANSYS 10.0 and used strength reduction FEM to calculate thesafety coefficient of the slope on conditions with no rain, and theatomization rainfall lasting for 0.2 hours and 0.4 hours. The results show that the atomization rainfall would decrease the stability of the slope, and with rainfalls increasing, the stability would reduce much more.