费马原理在球面界面理想成像中的应用——虚像  

Application of Fermat's principle in ideal imaging at the spherical boundary for the virtual image

作　　者：万建杰[1] WAN Jian-jie(College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou,Gansu 730070, Chin)

机构地区：[1]西北师范大学物理与电子工程学院,甘肃兰州730070

出　　处：《大学物理》2018年第2期26-28,共3页College Physics

基　　金：国家自然科学基金青年科学基金项目(11204243);甘肃省自然科学基金青年科技计划(1506RJYA131);西北师范大学青年教师科研能力提升计划(NWNU-LKQN-10-7);西北师范大学物理与电子工程物理学科科研创新团队项目资助

摘　　要：费马原理是几何光学的一个基本原理.本文运用费马原理直接推导得到球面界面的发散光线方程,并使用近轴条件得到了相应的虚像物像公式.结果表明发散光线方程与会聚光线方程不同,而物像公式均相同.Fermats principle is a basic principle in geometrical optics, which means that the actual trajectory inthe space depends on the extremum of the optical path. Based on the Fermat’ s principle, a new method has beengiven to directly obtain the equations for the practical optical path in reflections and refractions at sphericalboundary for the virtual image, and then the object-image formula have also been derived in the condition of axialray and axial object. The present results show the equations for divergent lines are different from those forconvergent lines, but their object-image formula are very same.

关 键 词：费马原理 球面反射 球面折射 虚像 

分 类 号：O435[机械工程—光学工程]