Appl Opt. 2020 May 10;59(14):4263-4270. doi: 10.1364/AO.390101.
Lobster-eye optics is a promising option to establish an all-sky monitor in the X-ray spectrum. With the development of micromachining technology, the performance of lobster-eye optics is gradually improving and has become more practical. In this paper, from an optical design point of view, the mathematical models of the square-channel lobster-eye lens and the meridional lobster-eye lens have been established based on prism analysis, and the focusing property differences of the two lenses are analyzed. There are several key conclusions: the square-channel lobster lens has no paraxial ideal focal point; the meridional lobster eye lens has better energy concentration for focusing and a weaker capacity for energy collection than the square-channel lobster eye lens in the high-energy X-ray spectrum; and the stray light arms of the square lobster-eye lens appear earlier than those of the meridional lobster-eye lens when the photon energy decreases. These conclusions can help improve the design of a lobster-eye lens for space detection and exploration.
龙虾眼光学是在 X 射线光谱中建立全天空监测的一种很有前途的选择。随着微机械加工技术的发展，龙虾眼光学的性能逐渐提高，变得更加实用。本文从光学设计的角度出发，基于棱镜分析建立了方孔龙虾眼透镜和子午龙虾眼透镜的数学模型，并分析了两种透镜的聚焦特性差异。得出了几个关键结论：方孔龙虾眼透镜没有傍轴理想焦点；子午龙虾眼透镜在高能 X 射线光谱中具有更好的聚焦能量集中性和比方孔龙虾眼透镜更强的能量收集能力；当光子能量降低时，方孔龙虾眼透镜的杂散光臂比子午龙虾眼透镜更早出现。这些结论可以帮助改进用于空间探测和勘探的龙虾眼透镜的设计。
