We present the results and methods of a survey of the four-mirror freeform imager solution space. This survey is a grid search over the parameters that remain after reducing the solution space’s degrees of freedom using first-, second-, and third-order aberration theory. We then optimize the systems’ higher-order surface shapes through sixth-order. Finally, we discuss general trends in the systems’ performance versus volume and etendue and their utility in trade studies.

中文翻译：

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四镜自由曲面成像仪解空间综述

我们介绍了四镜自由曲面成像器解决方案空间的调查结果和方法。该调查是对使用一阶、二阶和三阶像差理论减少解空间的自由度后剩余参数的网格搜索。然后我们通过六阶优化系统的高阶表面形状。最后，我们讨论了系统性能与交易量和集光率的总体趋势及其在贸易研究中的效用。