大视场球形逆反射器的光学设计

Optical Design of Wide-viewing-angle Spherical Retroreflector

在单层球形逆反射器的基础上,提出双层球形逆反射器,根据单个折射球面的物像位置关系和矢量场的光线追迹方法,推导得出内外层折射率和曲率半径之间的关系,及逆反光束的发散角与入射高度、球差之间的变化关系.利用ZEMAX设计了视场±60°,工作波段632.8nm的双层球形逆反射器和改进的双层球形逆反射器.优化后的两种球形逆反射器在各个视场下的点列图直径的均方根值均小于艾里斑直径4.632μm,最大球差不大于0.045mm,即逆反光束最大发散角不超过0.1mrad.仿真模拟结果表明,两种球形逆反射器在各个视场下的逆反光束到达接收面的光通量分别为48.769lm和44.249lm,入射光通量为54.594lm,逆反效率分别达到89.33%和81.05%.

Two-layer spherical retroreflector which is based on one-layer spherical retroreflector was proposed.On the basis of the object-image relationship of refracting spherical surface and ray tracing theory in vector field,the interrelation between refraction index and radius of curvature of each layer was figured out,the relations among divergence angle,incident height and spherical aberration were induced.Two-layer spherical retroreflector and its improved form were designed by ZEMAX,the field of view angle is±60°,and the working wavelength is 632.8nm.The root mean square spot diameters of the two kinds of spherical retroreflectors in different fields are all less than Airy disk diameter 4.632μm,and the maximum values of spherical aberration is only 0.045 mm,which means that the largest divergence angle of the reflected light is less than 0.1mrad.The simulation results show that,the luminous flux that the reflected light reaches on the receiver respectively can approach 48.769 lm and 44.249 lm,the incident luminous flux is 54.594 lm,so the reflected efficiencies respectively are 89.33% and 81.05%.