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

Abstract

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.

Authors:
ORCiD logo; ; ;
Publication Date:
Research Org.:
Univ. of Rochester, NY (United States). Lab. for Laser Energetics
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1475092
Alternate Identifier(s):
OSTI ID: 1477234
Report Number(s):
2018-28, 1444
Journal ID: ISSN 0146-9592; OPLEDP
Grant/Contract Number:  
NA0001944
Resource Type:
Published Article
Journal Name:
Optics Letters
Additional Journal Information:
Journal Name: Optics Letters Journal Volume: 43 Journal Issue: 20; Journal ID: ISSN 0146-9592
Publisher:
Optical Society of America
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; 36 MATERIALS SCIENCE; Mirror system design; Nonspherical mirror surfaces; Lasers

Citation Formats

Schiesser, E. M., Bahk, Seung-Whan, Bromage, Jake, and Rolland, Jannick P. Gaussian curvature and stigmatic imaging relations for the design of an unobscured reflective relay. United States: N. p., 2018. Web. doi:10.1364/OL.43.004855.
Schiesser, E. M., Bahk, Seung-Whan, Bromage, Jake, & Rolland, Jannick P. Gaussian curvature and stigmatic imaging relations for the design of an unobscured reflective relay. United States. doi:10.1364/OL.43.004855.
Schiesser, E. M., Bahk, Seung-Whan, Bromage, Jake, and Rolland, Jannick P. Wed . "Gaussian curvature and stigmatic imaging relations for the design of an unobscured reflective relay". United States. doi:10.1364/OL.43.004855.
@article{osti_1475092,
title = {Gaussian curvature and stigmatic imaging relations for the design of an unobscured reflective relay},
author = {Schiesser, E. M. and Bahk, Seung-Whan and Bromage, Jake and Rolland, Jannick P.},
abstractNote = {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.},
doi = {10.1364/OL.43.004855},
journal = {Optics Letters},
number = 20,
volume = 43,
place = {United States},
year = {2018},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1364/OL.43.004855

Citation Metrics:
Cited by: 2 works
Citation information provided by
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Works referenced in this record:

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