Propagation of light in gradient index media with symmetrical iso-indicial (constant refractive index) contours

Conor Flynn, A. Goncharov
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引用次数: 1

Abstract

Light propagation in non-homogeneous media with varying refractive index is challenging to analyse, even with knowledge of the gradient index (GRIN) structure n(x,y,z). Differential equations can be used to describe the path light rays take when travelling through a medium. Solutions to a differential equation are used to calculate the focal length of a GRIN lens with focus on quadratic GRIN profiles. Ray-tracing in GRIN media is notoriously difficult, and usually not possible without numerical methods, however for several types of GRIN lenses, the analytical solution exists. Examples of spherical GRIN lenses can be found in nature such as the lens in an octopus eye. A formula is proposed here to calculate the focal length of such a lens which will be compared to previous studies and models created on ray-tracing software, ZEMAX.
光在具有对称等折射率(恒定折射率)轮廓的梯度折射率介质中的传播
即使知道梯度折射率(GRIN)结构n(x,y,z),光在具有不同折射率的非均匀介质中的传播也是具有挑战性的。微分方程可以用来描述光线在介质中传播时的路径。利用微分方程的解来计算二次型GRIN透镜的焦距。众所周知,GRIN介质中的光线追踪是非常困难的,通常没有数值方法是不可能的,但是对于几种类型的GRIN透镜,存在解析解。球形GRIN透镜的例子可以在自然界中找到,例如章鱼眼睛中的透镜。本文提出了一个计算这种透镜焦距的公式,并将其与前人的研究和在射线追踪软件ZEMAX上建立的模型进行比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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