• Infrared and Laser Engineering
  • Vol. 52, Issue 7, 20230343 (2023)
Bofu Xie1, Shuai Zhang1, Haoran Li1, Hao Feng1..., Da Li1 and Xing Zhao1,2|Show fewer author(s)
Author Affiliations
  • 1Institute of Modern Optics Nankai University, Tianjin 300350, China
  • 2Tianjin Key Laboratory of Micro-scale Optical Information Science and Technology, Tianjin 300350, China
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    DOI: 10.3788/IRLA20230343 Cite this Article
    Bofu Xie, Shuai Zhang, Haoran Li, Hao Feng, Da Li, Xing Zhao. Application of nodal aberration theory in aberration compensation of the imaging system (invited)[J]. Infrared and Laser Engineering, 2023, 52(7): 20230343 Copy Citation Text show less
    Schematic diagram of the pupil vector \begin{document}$ \overrightarrow \rho ' $\end{document} when a freeform surface located at a non-aperture location
    Fig. 1. Schematic diagram of the pupil vector Unknown environment 'document' when a freeform surface located at a non-aperture location
    Flowchart of iterative algorithm for freeform surface optimization based on nodal aberration theory
    Fig. 2. Flowchart of iterative algorithm for freeform surface optimization based on nodal aberration theory
    Simulation diagram of freeform surface telescopic eccentric system
    Fig. 3. Simulation diagram of freeform surface telescopic eccentric system
    Wave aberration distribution map of the telescopic eccentric system (\begin{document}$ {{\lambda = 632}}{\text{.8 nm}} $\end{document})
    Fig. 4. Wave aberration distribution map of the telescopic eccentric system ( Unknown environment 'document')
    Wave aberration distribution map of the eccentric telescope system before and after optimization by two methods (\begin{document}$ {{\lambda = 632}}{\text{.8 nm}} $\end{document})
    Fig. 5. Wave aberration distribution map of the eccentric telescope system before and after optimization by two methods ( Unknown environment 'document')
    Light spot patterns of the eccentric telescope system before and after optimization by two methods. (a) Before optimization; (b) After NAT optimization; (c) After SAT optimization
    Fig. 6. Light spot patterns of the eccentric telescope system before and after optimization by two methods. (a) Before optimization; (b) After NAT optimization; (c) After SAT optimization
    MTF curve at the image plane of the system before and after optimizing by two methods
    Fig. 7. MTF curve at the image plane of the system before and after optimizing by two methods
    Schematic diagram of aberration compensation experiment for telescopic eccentric system based on SLM
    Fig. 8. Schematic diagram of aberration compensation experiment for telescopic eccentric system based on SLM
    Phase maps of freeform surfaces optimized by two methods. (a) NAT optimization; (b) SAT optimization
    Fig. 9. Phase maps of freeform surfaces optimized by two methods. (a) NAT optimization; (b) SAT optimization
    Experimental spot patterns of the eccentric telescope system. (a) Before compensation; (b) After compensation by NAT optimization method; (c) After compensation by SAT optimization method
    Fig. 10. Experimental spot patterns of the eccentric telescope system. (a) Before compensation; (b) After compensation by NAT optimization method; (c) After compensation by SAT optimization method
    Wave aberration termsCorresponding Zernike terms and coefficients
    Primary astigmatism$ Z5/6,α2C5/6Z7/8,3α2(C7/8H)Z9,12α2β2(C9H2)Z10/11,3α3β(C10/11H)Z12/13,[12α2β2(|H|2C12/13)3α2C12/13] $
    Defocus$Z4,α2C4Z7/8,3α2β(C7/8H)Z9,12α2β2C9(HH)Z12/13,6α2β2(C12/13H2)$
    Primary coma$ Z7/8,α2C7/8Z9,8α3β(C9H)Z12/13,4α3β(C12/13H) $
    Table 1. Fringe Zernike terms and coefficients corresponding to primary astigmatism, defocusing, and primary coma terms
    SurfaceTypeRadius/mmThickness/mmGlassRefraction/ReflexSemi-diameter/mmDecenter/Tilt
    ObjectSphereInfInf-Refraction--
    StopSphereInf470.00-Refraction4.00-
    2ZernikeInf−283.00-Reflex4.10Tilt 4.6°
    3Sphere−51.68−5.00K9Refraction12.70Decenter 2 mm
    4SphereInf−197.50-Refraction12.70-
    5Sphere−51.68−5.00K9Refraction12.70-
    6SphereInf−71.00-Refraction12.70-
    7Sphere−51.68−5.00K9Refraction12.70-
    8SphereInf−96.23-Refraction12.70-
    ImageSphereInf0.00-Refraction1.00-
    Table 2. Simulation parameter table of freeform surface compensating telescopic eccentric system’s aberration
    Standard Zernike termsZ4Z5Z6Z7Z8
    SAT1.1150e-48.5520e-500−1.4553e-4
    NAT9.9357e-51.1608e-400−1.5360e-4
    Table 3. Optimized various coefficients of freeform surfaces to compensate the telescopic eccentric system’s aberration by two methods
    Bofu Xie, Shuai Zhang, Haoran Li, Hao Feng, Da Li, Xing Zhao. Application of nodal aberration theory in aberration compensation of the imaging system (invited)[J]. Infrared and Laser Engineering, 2023, 52(7): 20230343
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