Luneburg-Lissajous透镜
The Luneburg-Lissajous lens
摘要：
将Luneburg透镜和Lissajous透镜组合在一起，设计了一种新型的绝对光学仪器，并从简谐振荡的角度分析了其成像机理。成像位置由x和y方向上的运动周期确定。此外，还设计了由多个部分组成的仪器，只要x、y方向的运动周期满足类似条件，就可以形成成像或自成像。本文的工作提供了一种新的方法，可以通过简单地分解运动方程来分析不同透镜的成像，从而揭示某些绝对光学仪器的内在机理。
英文摘要：
We design a new absolute optical instrument by composing Luneburg lens and Lissajous lens, and analyze its imaging mechanism from the perspective of simple harmonic oscillations. The imaging positions are determined by the periods of motions in x and y directions. Besides, instruments composed with multi parts are also devised, which can form imaging or self-imaging as long as the motion periods of x and y directions are satisfied to similar conditions. Our work provides a new way to analyze the imaging of different lens by simply dissociating the equations of motions, and reveal the internal mechanism of some absolute optical instruments.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
