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

作　　者：陈林 邓明 张大伟[3] CHEN Lin;DENG Ming;ZHANG Dawei(Wuhan National Laboratory for Optoelectronics,Huazhong University of Science and Technology,Wuhan,Hubei 430074;School of Optical and Electronic Information,Huazhong University of Science and Technology,Wuhan,Hubei 430074;College of Optoelectronic Information and Computer Engineering,Shanghai University of Technology,Shanghai 200093)

机构地区：[1]华中科技大学武汉光电国家研究中心,湖北武汉430074 [2]华中科技大学光学与电子信息学院,湖北武汉430074 [3]上海理工大学光电信息与计算机工程学院,上海200093

出　　处：《物理与工程》2024年第6期32-41,50,共11页Physics and Engineering

基　　金：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)。

摘　　要：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。Optics is an important branch of physics and a required foundational course for students majoring in physics,optical engineering,and optoelectronics,among others.Snell's law and Fresnel's formulas are crucial topics in optical teaching,but recent research has revealed anomalous reflection and refraction phenomena at non-uniform interfaces,rendering traditional Snell's law obsolete.While researchers have derived the generalized Snell's law using Fermat's principle to calculate reflection and refraction angles at non-uniform interfaces,the generalized Fresnel formula for calculating the reflection coefficients has remained unexplored.In this paper,we derive the generalized Snell's law and Fresnel's formulas using Maxwell's equations and boundary conditions,providing a comprehensive framework for de-scribing the relationships between reflection and refraction angles at both uniform and non-uniform interfaces,as well as calculating the efficiency of reflection and refraction.The theo-retical formulas derived align with simulation results,confirming the correctness of the gener-alized Snell's law and Fresnel's formulas.This work presents a valuable attempt at innovating the teaching content of optics in universities.

关 键 词：物理 光学 斯涅尔定律 菲涅耳公式 折反射 

分 类 号：G63[文化科学—教育学]