物理光学教学中引入广义斯涅耳定律和菲涅耳公式的尝试ATTEMPT TO INTRODUCE GENERALIZED SNELL'S LAW AND FRESNEL'S FORMULAS IN PYSICAL OPTICS TEACHING
陈林,邓明,张大伟
摘要(Abstract):
光学是物理学的重要分支学科,是高校物理类、光学工程类及光电信息类等专业的必修基础课程。斯涅耳定律和菲涅耳公式是光学教学的重要知识点,但是近期研究发现非均匀界面存在异常折反射现象,传统的斯涅耳定律不再适用。虽然研究者采用费马原理推导了广义斯涅尔定律,可计算非均匀分界面的折反射角度,但是用于计算折反射系数的广义菲涅耳公式尚未进行探索。本文利用麦克斯韦方程和边界条件,推导出广义斯涅尔定律和菲涅耳公式,同时适用于均匀界面/非均匀界面的折反射角度关系的描述以及折反射效率的计算,推导的理论公式与仿真结果一致,证明了广义斯涅尔定律和菲涅耳公式的正确性。本文为高校光学教学内容的创新提供一种有益尝试。
关键词(KeyWords): 物理;光学;斯涅尔定律;菲涅耳公式;折反射
基金项目(Foundation): 2020年湖北省高等学校省级教学研究项目“光电专业递进式、系统化科研训练培养方法改革与实践研究”(2020097);; 2021年国家自然科学基金面上项目“基于双曲色散超材料慢光效应的宽频二次谐波增强研究”(12074137);; 2022年国家重点研发计划“可重构光突触阵列研制及多通道调控研究”(2021YFB2801903)
作者(Author): 陈林,邓明,张大伟
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