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Frontiers of Optoelectronics

ISSN 2095-2759

ISSN 2095-2767(Online)

CN 10-1029/TN

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Front. Optoelectron.    2016, Vol. 9 Issue (4) : 599-608    https://doi.org/10.1007/s12200-016-0549-8
RESEARCH ARTICLE
Design of four mirror inverted telephoto zoom system
Jun CHANG1(),Guijuan XIE1,Lifei ZHANG1,Yao XU1,Jide ZHOU1,Shengyi YANG2
1. School of Optoelectronic, Beijing Institute of Technology, Beijing 100081, China
2. School of Physics, Beijing Institute of Technology, Beijing 100081, China
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Abstract

A novel inverted telephoto four mirror zoom system with large field of view (FOV) was designed over a wide spectral bandwidth. The initial configuration of the zoom system was obtained by applying the aberration equations under certain constraints. Then, a method was presented to correlate the aspheric coefficients with the aberrations of this system. By using this method, the required image quality could be achieved after optimization using the ZEMAX® Optical Design Code. Besides good image quality, another benefits of using this system is the potential for using cheap optics.
Keywords geometric optical design      aberration compensation      lens system design      reflective zoom     
Corresponding Author(s): Jun CHANG   
Just Accepted Date: 30 September 2016   Online First Date: 01 November 2016    Issue Date: 29 November 2016
 Cite this article:   
Jun CHANG,Guijuan XIE,Lifei ZHANG, et al. Design of four mirror inverted telephoto zoom system[J]. Front. Optoelectron., 2016, 9(4): 599-608.
 URL:  
https://academic.hep.com.cn/foe/EN/10.1007/s12200-016-0549-8
https://academic.hep.com.cn/foe/EN/Y2016/V9/I4/599
system parameters value
zoom ratio 3×
range of focal length 20–60 mm
zooming group primary mirror
compensating group fourth mirror
F/# 5
field of view (FOV) 7.2°–2.4°
Tab.1  System parameters of the optical system
Fig.1  (a) Marginal ray tracing of the proposed system and (b) chief ray tracing of the proposed system
nomenclature radius/mm thickness/mm
(f = 20 mm)		 thickness/mm
(f = 60 mm)
primary mirror 33.933 -9.324 -13.373
secondary mirror 44.533 67.011 67.011
tertiary mirror 41.068 -34.636 -14.891
fourth mirror 46918 37.629 17.884
Tab.2  Parameters of the initial structure of mirror zoom system
Fig.2  Layout of coaxial mirror zoom system. (a) f = 20 mm and (b) f = 60 mm
Fig.3  Modulation transfer function (MTF) of the coaxial mirror zoom system. (a) f = 20 mm and (b) f = 60 mm
Fig.4  Ray aberration curves of coaxial mirror zoom optical system. (a) f = 20 mm and (b) f = 60 mm
Fig.5  Spot diagram of coaxial mirror zoom optical system. (a) f = 20 mm and (b) f = 60 mm
Fig.6  Spherical aberration of (a) f = 20 mm and (b) f = 60 mm
Fig.7  Comas of (a) f = 20 mm and (b) f = 60 mm
Fig.8  Astigmatisms of (a) f = 20 mm and (b) f = 60 mm
Fig.9  Field curvatures of (a) f = 20 mm and (b) f = 60 mm
Fig.10  Distortions of (a) f = 20 mm and (b) f = 60 mm
nomenclature radius/mm thickness/mm
(f = 20 mm)		 thickness/mm (f = 60 mm) aspherical coefficients
conic 4th 6th 8th 10th
primary mirror 42.028 -7.332 -12.393 -0.3347 0 0 0 0
secondary mirror 45.930 59.910 58.913 0 0 0 0 0
tertiary mirror 32.390 -28.991 -14.048 0 0 0 0 0
fourth mirror 39.263 31.9422 19.048 0 0 1.7403E-009 -6.199E-012 0
Tab.3  Parameters of the final optical zoom system
Fig.11  Layout of the coaxial optical zoom system after optimization. (a) f = 20 mm and (b) f = 60 mm
Fig.12  Ray aberration curves of coaxial mirror zoom optical system after optimization. (a) f = 20 mm and (b) f = 60 mm
Fig.13  Spot diagram of the optical zoom system after optimization. (a) f = 20 mm and (b) f = 60 mm
Fig.14  Diffraction limited MTF of the optical zoom system after optimization. (a) f= 20 mm and (b) f = 60 mm
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[1] Guijuan XIE,Jun CHANG,Ke ZHANG,Jide ZHOU,Yajun NIU. Off-axis three-mirror reflective zoom system based on freeform surface[J]. Front. Optoelectron., 2016, 9(4): 609-615.
[2] Yuzuru TAKASHIMA. Optical design in high density and high capacity multi-layer data storage system[J]. Front. Optoelectron., 2014, 7(4): 425-436.
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