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

Journal Article · · Optics Letters
DOI:https://doi.org/10.1364/OL.43.004855· OSTI ID:1475092

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 2x 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 multiyear conceptual period.

Research Organization:
Univ. of Rochester, NY (United States). Lab. for Laser Energetics
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0001944
OSTI ID:
1475092
Alternate ID(s):
OSTI ID: 1477234
Report Number(s):
2018-28, 1444; OPLEDP
Journal Information:
Optics Letters, Journal Name: Optics Letters Vol. 43 Journal Issue: 20; ISSN 0146-9592
Publisher:
Optical Society of AmericaCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

References (6)

Cassegrain: a famous unknown of instrumental astronomy [Cassegrain: un célèbre inconnu de l'astronomie instrumentale] journal August 1997
Unobscured mirror designs conference December 2002
Method for the design of nonaxially symmetric optical systems using free-form surfaces journal May 2018
WHO? DISCOVERED CODDINGTON'S Equations? journal January 1994
Design of optical systems with both near-field and far-field system requirements journal July 2000
Offner radial group delay compensator for ultra-broadband laser beam transport journal January 2014

Cited By (1)

Design and alignment of an all-spherical unobscured four-mirror image relay for an ultra-broadband sub-petawatt laser journal January 2019


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