关于保形隐形装置的说明
Notes on Conformal Invisibility Devices
摘要：
由于光的波动性质，基于各向同性介质的隐形装置不可能是完美的。隐形的主要失真是由于反射和时间延迟。对于与光的波长相比较大的设备，反射可以指数地小。时间延迟是不可避免的，并且将导致波前错位。本文考虑基于光学保角映射的隐形装置。本文表明，时间延迟不依赖于入射光线的方向和碰撞参量，虽然任何共形隐形装置的折射率分布是必然不对称的。因此，图像的失真是均匀的，这降低了检测的风险。本文还展示了隐形装置的想法是如何连接到力的变形，赤平投影和平面的Escheresque平铺。
英文摘要：
As a consequence of the wave nature of light, invisibility devices based on isotropic media cannot be perfect. The principal distortions of invisibility are due to reflections and time delays. Reflections can be made exponentially small for devices that are large in comparison with the wavelength of light. Time delays are unavoidable and will result in wave-front dislocations. This paper considers invisibility devices based on optical conformal mapping. The paper shows that the time delays do not depend on the directions and impact parameters of incident light rays, although the refractive-index profile of any conformal invisibility device is necessarily asymmetric. The distortions of images are thus uniform, which reduces the risk of detection. The paper also shows how the ideas of invisibility devices are connected to the transmutation of force, the stereographic projection and Escheresque tilings of the plane.
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