ATTEMPT TO INTRODUCE GENERALIZED SNELL'S LAW AND FRESNEL'S FORMULAS IN PYSICAL OPTICS TEACHING
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.
physicsopticsSnell's lawFresnel's formulasreflection and refraction
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