狭缝宽度对双缝后光场分布的影响THE INFLUENCE OF SLIT WIDTH ON LIGHT SUPERPOSITION THROUGH DOUBLE-SLIT STUDIED BY MATLAB
刘长菊,丁豹,谭玉彬,苏未安
摘要(Abstract):
双缝光叠加的内容是波动光学中的重要组成部分,其后场是单缝菲涅耳衍射与双缝干涉综合作用的结果,难以得到精确的解析表达。本文基于波动光学中的惠更斯-菲涅耳原理,通过Matlab数值计算获得了不同双缝之后的光场分布。结果表明狭缝的宽度对其后叠加光场分布的影响很大。对于不透光部分为5.0mm的等宽双缝,当缝宽与入射光波长数量级相同时,其后轴线附近的光场可近似为杨氏双缝干涉结果;当缝宽比入射光波长大1~2个数量级时,其后场可近似为单缝夫琅禾费衍射修正的杨氏双缝干涉结果;而当缝宽比入射光波长大3个数量级以上时,后场表现为明显的直线传播特性。只有在宽度适当的双缝之后才出现典型的光栅衍射图谱,而且两缝宽度之间的差异将使得反衬度γ降低,导致条纹模糊。
关键词(KeyWords): 惠更斯-菲涅耳原理;双缝叠加;杨氏双缝干涉;单缝衍射;Matlab计算模拟
基金项目(Foundation): 江西理工大学校级大学生创新创业训练计划项目(XZG-15-08-35);; 江西省高等学校教学改革研究省级课题(JXJG-17-7-21)
作者(Author): 刘长菊,丁豹,谭玉彬,苏未安
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