摘要
首先简要介绍了悬链线和海市蜃楼问题的数学模型和传统解法,随后讨论了如何利用折射定律求解悬链线方程和利用拉氏量来描述海市蜃楼的形成.在分析二者之间的数学模型相关联的基础上,重新强调了在大学物理教学中重视哈密顿原理与费马原理之间密切联系的必要性.
The mathematical model and conventional solution of catenary and mirage are briefly introduced at first. Then,the catenary equation is discussed in terms of Snell＇ s Law,and the forming of a mirage is described on the basis of Lagrangian. Based on the analysis of the relations between these two mathematical models,the value of the connections between Hamilton＇ s principle and Fermat＇ s principle is re-emphasized for the physics education at university.
出处
《大学物理》
北大核心
2016年第8期25-28,共4页
College Physics
