TY - JOUR
T1 - Parametric geometry analysis for circular-aperture off-axis parabolic mirror segment
AU - Han, Jeong Yeol
AU - Lee, Sukmock
AU - Kim, Dae Wook
N1 - Funding Information:
The current research was supported by the Space Core Technology Development Program of the National Research Foundation of Korea (NRF) grant funded by the Korean government (MSIT) (NRF-2018M1A3A3A02065927) and in part by the Inha University, Incheon, Republic of Korea. The authors are grateful to the anonymous referees, whose valuable suggestions and comments significantly improved the quality of this paper.
Publisher Copyright:
© The Authors. Published by SPIE under a Creative Commons Attribution 4.0 Unported License.
PY - 2019/4/1
Y1 - 2019/4/1
N2 - We investigated the geometrical characteristics of circular-aperture off-axis parabolic (OAP) mirror segments to clarify the meaning of the loosely defined word "center" used in the literature and in documents to describe OAPs. We proposed the elliptical aperture center of an OAP as the definition of the center. The off-axis distance (OAD) is the vertical distance from the reference optical axis to the aperture center. In addition, the OAD can be varied depending on the desired center of a circular aperture to select the part of a parallel beam for focusing. The radius of the circular aperture becomes the minor-axis semidiameter of the elliptical aperture of the OAP. These geometrical parameters were systematically defined, derived, and/or analyzed in the context of optical engineering applications. Based on a set of those fundamental parameters, an intrinsic datum point utilizing the deepest point on the OAP surface was presented. The datum point provides a well-defined reference co-ordinate frame for locating or aligning an OAP within various astronomical telescope designs, instrument manufacturing and assembly processes, and optical system alignment and testing applications.
AB - We investigated the geometrical characteristics of circular-aperture off-axis parabolic (OAP) mirror segments to clarify the meaning of the loosely defined word "center" used in the literature and in documents to describe OAPs. We proposed the elliptical aperture center of an OAP as the definition of the center. The off-axis distance (OAD) is the vertical distance from the reference optical axis to the aperture center. In addition, the OAD can be varied depending on the desired center of a circular aperture to select the part of a parallel beam for focusing. The radius of the circular aperture becomes the minor-axis semidiameter of the elliptical aperture of the OAP. These geometrical parameters were systematically defined, derived, and/or analyzed in the context of optical engineering applications. Based on a set of those fundamental parameters, an intrinsic datum point utilizing the deepest point on the OAP surface was presented. The datum point provides a well-defined reference co-ordinate frame for locating or aligning an OAP within various astronomical telescope designs, instrument manufacturing and assembly processes, and optical system alignment and testing applications.
KW - circular off-axis parabolic mirror
KW - geometric optics
KW - optical testing
KW - reference optical axis
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U2 - 10.1117/1.JATIS.5.2.024010
DO - 10.1117/1.JATIS.5.2.024010
M3 - Article
AN - SCOPUS:85069476427
SN - 2329-4124
VL - 5
JO - Journal of Astronomical Telescopes, Instruments, and Systems
JF - Journal of Astronomical Telescopes, Instruments, and Systems
IS - 2
M1 - 024010
ER -