• Chinese Optics Letters
  • Vol. 17, Issue 9, 092201 (2019)
Yuting Deng, Guofan Jin, and Jun Zhu*
Author Affiliations
  • State Key Laboratory of Precision Measurements Technology and Instruments, Department of Precision Instrument, Tsinghua University, Beijing 100084, China
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    DOI: 10.3788/COL201917.092201 Cite this Article Set citation alerts
    Yuting Deng, Guofan Jin, Jun Zhu. Design method for freeform reflective-imaging systems with low surface-figure-error sensitivity[J]. Chinese Optics Letters, 2019, 17(9): 092201 Copy Citation Text show less

    Abstract

    Freeform surfaces are difficult to manufacture due to their lack of rotational symmetry. To reduce the requirements for manufacturing precision, a design method is proposed for freeform reflective-imaging systems with low surface-figure-error sensitivity. The method considers both the surface-figure-error sensitivity and optical specifications, which can design initial systems insensitive to surface figure errors. Design starts with an initial planar system; the surface-figure-error sensitivity of the system is reduced during construction. The proposed method and another that is irrelevant to figure-error sensitivity are used to design a freeform off-axis three-mirror imaging system. Comparison of the sensitivities of the two systems indicates the superiority of our proposed method.
    ΔWE=BBBG=BB[1cos(π2θ)]=2BBcos2θ2BHcosθ,(1)

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    {θ1=φ+α1θ2=φ+2α1α2θ3=φ+2α12α2+α3,(2)

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    φx(m)=φx(m),φy(m)=φy(m)±2γm=0,1,,M1.(3)

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    d=TnTn=TnP3,n(k)×sin(2w32θ3)sin(β+2θ32w3).(4)

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    {ΔWs,f=i=1kΔWi,s,f2/k,s=1,2,,n,f=1,2,,mΔWf=s=1nΔWs,f2,f=1,2,,mΔW=f=1mΔWf/m.(5)

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    Yuting Deng, Guofan Jin, Jun Zhu. Design method for freeform reflective-imaging systems with low surface-figure-error sensitivity[J]. Chinese Optics Letters, 2019, 17(9): 092201
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