题目内容
如图所示的直角三棱镜中
,入射光线垂直于AB面,求光线从棱镜第一次折射射入空气时的折射角,并作出光路图,已知折射率![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114849211258.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241148492261854.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114849195279.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114849211258.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241148492261854.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114849257223.gif)
由
得,
,作垂直AB的入射光线OO1,在AC界面上入射点为O1,由图中几何关系可知
,
,发生全反射,由反射定律得
,作出反射光线O1O2,在BC上的入射点O2,由图中的几何关系知,
,光线还发生全反射,由反射定律知
,作出反射光线O2O3,在AC上的入射点为O3,由几何关系可知
,不能发生全反射,光线由O3点折射出,根据折射定律
,得
,则![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114849429273.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241148494454949.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114849273455.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114849289283.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114849304270.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114849320270.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114849335272.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114849351340.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114849367278.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114849382341.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114849398532.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114849413955.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824114849429273.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241148494454949.jpg)
![](http://thumb2018.1010pic.com/images/loading.gif)
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