Gaussian curvature and stigmatic imaging relations for the design of an unobscured reflective relay

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...

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Bibliographic Details
Published in:Optics letters 2018-10, Vol.43 (20), p.4855-4858
Main Authors: Schiesser, E M, Bahk, Seung-Whan, Bromage, Jake, Rolland, Jannick P
Format: Article
Language:English
Subjects:
Collimation
Curvature
ENGINEERING
Far fields
Imaging
Lasers
Layouts
MATERIALS SCIENCE
Mirror system design
Nonspherical mirror surfaces
System effectiveness
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Summary: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.
ISSN:0146-9592
1539-4794
DOI:10.1364/OL.43.004855