Optic eikonal, Fermat’s principle and the least action principle  

作　　者：TAN KangBo LIANG ChangHong SHI XiaoWei 

机构地区：[1]National Key Laboratory of Antennas and Microwave Technology,Xidian University,Xi’an 710071,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2008年第12期1826-1834,共9页中国科学：物理学、力学、天文学（英文版）

基　　金：the National Natural Science Foundation of China (Grant No. 60601028)

摘　　要：A generalized refractive index in the form of optic eikonal is defined through com- paring frame definitions of left-handed and right-handed sets and indicates the sign of the refractive index covered by the quadratic form of the eikonal equation. Fer- mat’s principle is generalized, and the general refractive law is derived directly. Under this definition, the comparison between Fermat’s principle and the least ac- tion principle is made through employing path integral and analogizing L. de Broglie’s theory.A generalized refractive index in the form of optic eikonal is defined through comparing frame definitions of left-handed and right-handed sets and indicates the sign of the refractive index covered by the quadratic form of the eikonal equation. Fermat’s principle is generalized, and the general refractive law is derived directly. Under this definition, the comparison between Fermat’s principle and the least action principle is made through employing path integral and analogizing L. de Broglie’s theory.

关 键 词：Fermat’s PRINCIPLE OPTICAL EIKONAL least action PRINCIPLE PATH INTEGRAL 

分 类 号：O442[理学—电磁学]