中国激光, 1995, 22 (7): 523, 网络出版: 2007-08-17
傍轴黎曼几何光学·I 理论
Paraxial Riemannian Geometrical Optics I. Theory
微分几何学 三维黎曼流形 光流体模型 广义光折射率 复空间 光束传输 differential geometry 3-dimensional Riemannian manifold HMO general refractive index complex space beam propagation
摘要
利用微分几何方法研究光束传输。从三维黎曼流形的曲率出发，构造了一个复空间。它的流线能兼容几何光学与波动光学的信息。
Abstract
In this paper, a differential geometrical method is employed to study the propagation properties of light beams. Starting from the curvature of 3- dimensional Riemannian manifold, a new complex space which can contain the information of both geometrical optics and wave optics is built.
邓锡铭, 郭弘, 曹清. 傍轴黎曼几何光学·I 理论[J]. 中国激光, 1995, 22(7): 523. 邓锡铭, 郭弘, 曹清. Paraxial Riemannian Geometrical Optics I. Theory[J]. Chinese Journal of Lasers, 1995, 22(7): 523.
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