结果表明，这种透镜的成像特性与光线轨迹依赖于光功率。
It is shown that the imaging properties and the ray paths of such lenses depend on the optical power.
第二章主要从理论方面研究梯度折射率球透镜的折射率和光线轨迹。
In Chapter 2, the refractive index distribution and ray trajectory of GRIN ball lens are studied in theory.
根据光线在晶体中的轨迹公式，推导得到了晶体透镜的光线轨迹计算公式。
According to ray tracing formulas for crystal, a set of ray tracing calculating formulas for crystal lens is derived.
计算结果表明，光线轨迹主要由入射光束的光斑尺寸、倾角和透镜的结构决定。
It is shown that the ray trajectory depends strongly on the spot size and the inclination of the incident beam and the structure of the lens.
本文根据光线轨迹方程，讨论一种等折射率面为指数型变化的梯度折射率纤维透镜的成象特性。
The imaging characteristics of a GRIN fiber lens with exponential variation of the constant-index surfaces are discussed based on the ray paths equations.
从光线微分方程求得纤维中光线轨迹的解析解，并给出纤维透镜的高斯参数及物像计算公式。
The analytical solutions for ray paths in the fiber are obtained from the ray differential equation and the Gaussian parameters and the imaging formulas of the lens are also given.
研究了二次抛物线型的GRIN球透镜的光线轨迹方程序；得出其轨迹为椭圆曲线及一些重要结论。
At last, the author obtained the equation of ray trace in the GRIN ball lens with the index profile which is quadratic and drew some important conclusions.
本文从光线轨迹方程出发，推导了锥形梯度折射率纤维的物像关系式，并得出了它的等效焦距和主平面位置。
Starting from the ray path equation, object-image relationships are found and used to determine the equivalent focal length and the principal planes of tapered GRIN fiber.
时间和空间是相对论研究的重要物理问题，在物质的空间中，存在引力场，而由于引力场的存在，则会导致时间的变化，空间的弯曲，光线轨迹的改变等。
Time and space are important for relativity study in physics. In matter space exists a gravitational field, owning to which time is varied, space is bent, and light trace is changed.
基于大气传输模型，采用光线传输的实际轨迹对天顶角进行修正处理，得出天顶角随发射角和传输高度的变化复杂函数。
Based on the atmospheric transmission model, through the actual ray track, the zenith Angle is revised, which is a complicated function with launch Angle and altitude.
根据光线在晶体中的轨迹公式，计算了任意方向入射光所对应的尼科尔棱镜的临界角，得到了尼科尔棱镜的偏振区的限制曲线。
According to ray-tracing formulas of crystal, calculated the critical angles of Nicol prism for incident ray in any direction. Achieves the polarization critical curves of Nicol prism.
在为墙面涂上了阳光的颜色后，他用一面镜子折射光线，沿着太阳的轨迹，将光线投射到狱墙上阳光照不到的地方。
After painting the wall the color of sunshine, he used a mirror to deflect rays of light, as he followed the path of the sun, onto the places on the prison wall where the sun did not shine.
在为墙面涂上了阳光的颜色后，他用一面镜子折射光线，沿着太阳的轨迹，将光线投射到狱墙上阳光照不到的地方。
After painting the wall the color of sunshine, he used a mirror to deflect rays of light, as he followed the path of the sun, onto the places on the prison wall where the sun did not shine.
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