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We present a generalized differentiable ray-tracing approach suitable for most optical surfaces, including freeform surfaces. The established freeform design method simultaneously calculates multi-surface coefficients with merely the system geometry known. In addition, we provide a ‘double-pass surface’ strategy with the desired overlap (not mutually centered) that enables a component reduction for very compact yet high-performing designs. Two different examples are used to demonstrate the effectiveness of the proposed method. This work provides a robust design scheme for reflective freeform imaging systems in general, and it unlocks a series of new ‘double-pass surface’ designs for very compact, high-performing freeform imaging systems.
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Yunfeng Nie, David R. Shafer, Heidi Ottevaere, Hugo Thienpont, Fabian Duerr, "Freeform imaging system design with multiple reflection surfaces," Proc. SPIE 11895, Optical Design and Testing XI, 118950F (9 October 2021); https://doi.org/10.1117/12.2601240