【摘要】 本文导出了以单边梯度变化的矩形介质板作轴向梯度透镜的光线轨迹方程.在以中心折射n_o面为入射面时,光线的轨迹为对数函数曲线,而以边缘折射率n_x为入射面时,光线轨迹为反正切函数,由此可以考虑在光学系统中的应用.更多还原

【Abstract】 The paper presents a derivation of the locus equation of rectangular waveguide of which index distribution function is n(x) = no (1 - 1/2 Ax3). The locus of light rays can be described with logarithmic function as incidence plane is the central plane having refraction index no, and tne locus of light rays can be indicated with arc tangent function as incidence plane is in edge which has index of n(X). When tangential plane crosses no plane, the locus of paraxial rays locating in tangential plane is a well-known sinuous function.According to the locus equation, this waveguide has a function similar to parallel plate or divergent lens or cylindrical lens.When it is used as parallel plate, the waveguide offers much larger displacement than that given by a parallel plate which made of homogenous medium. As a divergent lens, the waveguide can not be used as image-forming element, because it only acts when light rays have a certain angle with optical axis. The image-forming feature depends on the distribution constant A, the central refraction index no and the thickness zo Thus, the locus line may locate in the outside or inside or end of the medium. The waveguide may be used in optical systems.The paper places emphasis on deriving locus equation of light ray motion in the inside of the medium according to eikonal equation.更多还原