非均匀折射率场中光传输现象研究RESEARCH ON LIGHT TRANSMISSION IN NON-UNIFORM REFRACTIVE INDEX MEDIUM
朱闻睿,梁元昊,王晓杰,王槿
摘要(Abstract):
海市蜃楼是一种非常有趣的光学现象,其本质是由于光在非均匀折射率介质中传输时发生的折射和全反射现象。本文基于费马原理与拉格朗日方程在理论上推导出了光在非均匀折射场的传输方程。然后通过数值模拟成功复现了光在非均匀折射场中传输的图像与相应蜃景图像。最后,通过实验研究了不同入射角度下光线传输规律和海市蜃景现象,实验结果与理论符合较好,验证了上述理论分析的正确性。
关键词(KeyWords): 非均匀折射率场;光传输;费马原理;拉格朗日方程
基金项目(Foundation): 国家基础科学人才培养基金项目(J1210027);; 2020高等学校教学研究项目(DJZW202010hb);; 南开大学本科教育教学改革项目(NKJG2021117)
作者(Author): 朱闻睿,梁元昊,王晓杰,王槿
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