Design of freeform nonsymmetric three-mirror systems using Gaussian radial basis functions freeform surfaces

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Abstract

As a kind of radial basis functions, the Gaussian function has local feature and therefore has an excellent surface description ability. In this paper, we proposed the design strategy of freeform unobscured three-mirror system using Gaussian radial basis functions surface type and demonstrate a design example. A novel and high-accuracy surface fitting algorithm of Gaussian radial basis functions is proposed for the freeform surface fitting. Successive optimization strategy is employed for the system after surface fitting. The final example system works at the long wave infrared band and has an 8°×6° field-of-view with an F-number of 1.9.

Original languageEnglish
Title of host publication2019 International Conference on Optical Instruments and Technology
Subtitle of host publicationOptical Systems and Modern Optoelectronic Instruments
EditorsJuan Liu, Baohua Jia, Xincheng Yao, Yongtian Wang, Takanori Nomura
PublisherSPIE
ISBN (Electronic)9781510636460
DOIs
Publication statusPublished - 2020
Event2019 International Conference on Optical Instruments and Technology: Optical Systems and Modern Optoelectronic Instruments - Beijing, China
Duration: 26 Oct 201928 Oct 2019

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume11434
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

Conference2019 International Conference on Optical Instruments and Technology: Optical Systems and Modern Optoelectronic Instruments
Country/TerritoryChina
CityBeijing
Period26/10/1928/10/19

Keywords

  • Freeform optics
  • Gaussian radial basis functions
  • Surface fitting
  • Unobscured three-mirror imaging system

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Cite this

Ni, J., Yang, T., Cheng, D., & Wang, Y. (2020). Design of freeform nonsymmetric three-mirror systems using Gaussian radial basis functions freeform surfaces. In J. Liu, B. Jia, X. Yao, Y. Wang, & T. Nomura (Eds.), 2019 International Conference on Optical Instruments and Technology: Optical Systems and Modern Optoelectronic Instruments Article 1143408 (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 11434). SPIE. https://doi.org/10.1117/12.2540906