一种用于研究一类球形隐身外壳材料光学特性的坐标变换方法  

A Coordinate Transformation Method for Analyzing the Optical Properties of Invisibility Cloak Materials

作　　者：李鑫路[1] 孔祥敏[1] 江兴方[1] 

机构地区：[1]常州大学数理学院,江苏常州213164

出　　处：《量子光学学报》2016年第3期284-288,共5页Journal of Quantum Optics

基　　金：卫星海洋环境动力学国家重点实验室开放课题(SOED1503)

摘　　要：针对研究一类球形隐身外壳材料光学特性的问题,设计一种基于空间压缩拉伸的坐标变换方式,利用几何光学光线追踪的方法,描绘光线传播的斗篷行为,用以研究隐身材料的光学特性,建立一个二维的变换模型来研究隐身材料:在大圆中存在一个小圆,两圆圆心重合,小圆将大圆内的空间分割成两个部分,等间距的直线穿过模型,分别与两个圆相交。通过坐标变换将圆内的空间进行拉伸,同时将圆外的空间压缩,从而使得光线在隐身材料外壳中发生扭曲实现隐身效果,利用Matlab进行编程模拟作出图像并与实验样条曲线进行对比,根据对比结果修改完善程序并将其拓展到三维情况下。结果表明,这样的坐标变换有利于解释在各向异性材料中某个球形区域内的隐身效应。This study is to design a coordinate transformation method based on space compression and stretching activities.We utilizes ray tracing approaches in the context of geometrical optics,and depicts the cloak behavior of light transmission,in order to analyze on the optical properties of spherical stealth materials,as well as to establish a two-dimensional transformation model for further researches.To be specific,the model can be briefly illustrated as a small circle placed in a big one,with their centers coincides inside.And the small circle divides the space of the big one into two parts,and once evenly spaced lines get through the model,they have intersection points with the two circles respectively.Accordingly,the inside space of circle is enlarged while the outside space is compressed simultaneously.Then lights is distorted in the material,which called invisibility cloak effect.Here Matlab is used for programming and simulating the images,and then make comparison with the experimental sample curve,in order to improve the program and extend it into a three-dimensional situation.Finally,The results show that this coordinate transformation method is helpful to explain the stealth effect of aeolotropic materials in a spherical area.

关 键 词：变换模型 隐身材料 光学特性 坐标变换 

分 类 号：O41[理学—理论物理]