论文标题
关于梯度索引光学指标和光学机械类比的测量学
On geodesics of gradient-index optical metrics and the optical-mechanical analogy
论文作者
论文摘要
开发了折射率具有非变化梯度的光学介质的地球方程。结果表明，当这些培养基是光学各向同性的时，光路将是与环境空间指标合成相关的空间度量的Mull Geodesics。当光学机械类比的各个方面与共同相关指标的测量学有关时，讨论了它们。检查了梯度指数光学概念在一般相对论中的某些应用，例如重力镜头的有效折射指标和Gordon的光学介质的光学指标，这些光学介质对观察者的相对运动状态。后一个主题是从预先电磁前主义的角度接触的。
The geodesic equations for optical media whose refractive indices have a non-vanishing gradient are developed. It is shown that when those media are optically isotropic, the light paths will be mull geodesics of a spatial metric that is conformally related to the metric of the ambient space. Various aspects of the optical-mechanical analogy are discussed as they relate to the geodesics of conformally related metrics. Some applications of the concepts of gradient-index optics to general relativity are examined, such as effective indices of refraction for gravitational lensing and Gordon's optical metrics for optical media that are in a state of relative motion with respect to an observer. The latter topic is approached from the standpoint of pre-metric electromagnetism.
