光学教学中光栅散射的数值模拟

Numerical Simulation of Grating Scattering in Optical Teaching

摘要: 光栅是波动光学的教学重点之一。对于布拉格光栅，我们通常利用布拉格公式来判断产生强反射低透射的条件。但该公式具有比较大的局限性，许多影响透射谱和反射谱的物理量没有被考虑到，因此我们可以利用传输矩阵方法来补充课堂教学内容的不足，通过让学生自主编程模拟，以达到促进学生知识的理解和科研能力的培养。本文详细地介绍了传输矩阵方法在布拉格光栅中的应用及相关结论，为其在教学中的应用提供指导帮助。

Abstract: Grating is one of the teaching emphases of wave optics. For Bragg gratings, we usually use the Bragg formula to judge the conditions of strong reflection and low transmission. However, this formula has relatively large limitations. Many physical quantities that affect the transmission spectrum and reflection spectrum have not been taken into account. Therefore, we can use the transfer matrix method to supplement the deficiencies of classroom teaching content. By allowing students to program and simulate independently, we can promote students’ understanding of knowledge and cultivate their scientific research ability. In this paper, the application of the transfer matrix method in Bragg grating and the related conclusions are introduced in detail to provide guidance for its application in teaching.