中国激光, 1995, 22 (8): 607, 网络出版: 2007-08-17
傍轴黎曼几何光学.──Ⅱ.应用基础
Paraxial Riemannian Geometrical Optics. Ⅱ. Basic Applications
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。从黎曼三维流形的曲率出发，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。列举了复空间应用于光束传输的一些例子。
Abstract
In this paper, the differential geometrical mothod is employed to study the propagation properities 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. Furthermore, some examples, in which the complex space is used to analyse beam propagation, are also given.
邓锡铭, 郭弘, 曹清. 傍轴黎曼几何光学.──Ⅱ.应用基础[J]. 中国激光, 1995, 22(8): 607. 邓锡铭, 郭弘, 曹清. Paraxial Riemannian Geometrical Optics. Ⅱ. Basic Applications[J]. Chinese Journal of Lasers, 1995, 22(8): 607.
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