Reconfigurable freeform optical systems greatly enhance imaging performance within non-symmetric, compact, and ergonomic form factors. In this paper, several advances improve design, testing, and monitoring of these systems. Specific enhancements include definition of polynomials for fast and efficient parameterizations of vector distributions in non-circular apertures and merit based function optimization. Deflectometry system improvements enable metrology for almost any conceivable optic shape and guide deterministic optical figuring process during the coarse grinding phase by including modulated infrared sources. As a demonstration of these improvements, parametric optimization is tested with the tomographic ionized-carbon mapping experiment, a reconfigurable optical system. Other case studies and demonstrations include metrology of a fast, f/1.26 convex optic, an Alvarez lens, and real-time monitoring of an array of independently-steerable hexagonal mirror segments as well as an induction formed surface and inflatable Mylar mirror.

可重构的自由形式光学系统在非对称，紧凑和符合人体工程学的外形尺寸范围内极大地增强了成像性能。在本文中，一些进步改进了这些系统的设计，测试和监视。具体的增强功能包括多项式的定义，用于非圆形孔径中矢量分布的快速有效的参数化以及基于优点的函数优化。折光测量系统的改进使几乎任何可能的光学形状的计量都成为可能，并通过包括调制红外源，在粗磨阶段指导确定性的光学加工过程。为了证明这些改进，通过层析X射线电离碳制图实验（一种可重新配置的光学系统）对参数优化进行了测试。其他案例研究和演示包括快速f / 1的计量。