内外锥折射锥顶角的研究

Cone Apex Angles of Endocone and External Cone Refraction

利用光波面和光波法线面的曲线方程,得出了光波面上光轴角和光线轴角的表达式。以此为基础,借助内锥折射和外锥折射的性质及对应光波面上的位置关系,推导了内锥折射锥顶角和外锥折射锥顶角的表达式。并以堇青石和黄玉为例给出了具体的锥顶角数值大小,分析了锥顶角很小的原因。

The expression of optic axial angle and ray axial angle on light wave plane can be obtained by using the curve equations of the wavefront of light wave and normal plane of light wave. Using the nature of endocone refraction and external cone refraction and the corresponding position relation on the light wave plane, the expressions of the cone-apex angles of endocone refraction and external cone refraction are deduced. Taking cordierite and topaz for example, the specific cone-apex angle values are given, and the reason why the cone-apex angles are too small is analyzed.