Opt Lett. 2018 Oct 15;43(20):4855-4858. doi: 10.1364/OL.43.004855.
We derive the relationship between Coddington's equations and the Gaussian curvature for a stigmatic reflective imaging system. This relationship allows parameterizing off-axis conic optical systems using traditional first-order optics by considering the effective curvature at the center of the off-axis sections. Specifically, we demonstrate parameterizing the system requirements of a 2× achromatic image relay for a terawatt laser system. This system required both collimation (far-field) and pupil imaging (near-field) simultaneously. Long working distances and specific spatial constraints limited the available layout options for the imaging components. By parameterizing these system requirements and packaging constraints, the final specifications could be quickly iterated, while allowing for flexibility in the layout of the system during a multi-year conceptual period.
我们推导出了 Coddington 方程与彗差反射成像系统高斯曲率之间的关系。该关系允许通过考虑离轴部分中心的有效曲率，使用传统的一阶光学来对离轴的二次曲线光学系统进行参数化。具体来说，我们展示了对太瓦激光系统 2×消色差图像中继系统要求的参数化。该系统同时需要准直（远场）和瞳孔成像（近场）。长工作距离和特定的空间限制限制了成像组件的可用布局选项。通过对这些系统要求和封装限制进行参数化，最终规格可以快速迭代，同时允许在多年的概念阶段期间对系统的布局进行灵活设计。
