中国激光, 2010, 37 (10): 2537, 网络出版: 2010-09-25
离焦光学镜头的猫眼效应反射光干涉特性研究
Studies on Interference Characteristics of Cat-Eye Effect Reflected Light of Defocused Optical Lens
摘要
将离焦光学镜头猫眼效应反射光视为球面波形式,利用Collins公式以及将硬边光阑窗口函数展开为有限个复高斯函数之和的方法,推导了其与参考入射光的干涉场分布公式。通过数值计算分析了离焦量对干涉场分布及条纹级数的影响规律,并进行了实验验证。结果表明,镜头离焦是其猫眼效应反射光与入射光发生干涉并产生条纹的必要条件;离焦量增大,干涉圆环逐渐向内移动,条纹级数逐渐增大;近场条件下,几何光程差函数可以正确描述干涉条纹级数与离焦量的关系。
Abstract
Based on the idea that the cat-eye effect reflected light of defocused optical lens can be regarded as a spherical wave, and by using Collins formula and the method of expanding the aperture function into a finite sum of complex Gaussian functions, the distribution formula of the cat-eye effect reflected light interfered with the reference incident light is deduced. Through numerical computation, laws governing the variation of the distribution and stripe series of the interference field with the focal shift are obtained. Then an experiment is done to validate the laws. The results show that off-focus of the optical lens is a necessary condition for the cat-eye effect reflected light to be interfered with the incident light and stripes are brought, the interference cirque gradually moves inside and the stripe number becomes larger with the increasing of the focal shift, and the relation between the interference stripe number and the focal shift can be correctly described by the geometric optical path function on nearby condition.
赵延仲, 孙华燕, 赵琳峰, 黄成功. 离焦光学镜头的猫眼效应反射光干涉特性研究[J]. 中国激光, 2010, 37(10): 2537. Zhao Yanzhong, Sun Huayan, Zhao Linfeng, Huang Chenggong. Studies on Interference Characteristics of Cat-Eye Effect Reflected Light of Defocused Optical Lens[J]. Chinese Journal of Lasers, 2010, 37(10): 2537.