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 1邓明 1张大伟2
作者信息
- 1. 华中科技大学武汉光电国家研究中心,湖北 武汉 430074;华中科技大学光学与电子信息学院,湖北 武汉 430074
- 2. 上海理工大学光电信息与计算机工程学院,上海 200093
- 折叠
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.
Abstract
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 re-vealed 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 unex-plored.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Key words
physics/optics/Snell's law/Fresnel's formulas/reflection and refraction引用本文复制引用
出版年
2024
国家科技期刊平台
NSTL
万方数据