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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。
Aiming at the problem of studying the optical properties of a spherical stealthy shell material, a coordinate transformation method based on space compression stretching is designed. By means of geometrical optical ray tracing, the cloak behavior of light propagation is described to study the optical properties of the stealth material. To establish a two-dimensional transformation model to study stealth material: There is a small circle in the big circle, the two circle center coincide, the small circle divides the space in the big circle into two parts, the equidistant straight line passes through the model, respectively with two The circle intersects. Through the coordinate transformation, the space in the circle is stretched, and the space outside the circle is compressed, so that the light is twisted in the shell of the stealth material to realize the stealth effect. The image is simulated by Matlab and compared with the experimental spline curve, According to the comparison results modify the perfect program and expand it to three-dimensional case. The results show that such a coordinate transformation helps to explain the stealth effect in a spherical region of an anisotropic material.