• Chinese Optics Letters
  • Vol. 14, Issue 10, 100501 (2016)
Jian Zhang1, Mengjuan Li2, Ganghua Yin2, Jianchao Jiao2, Zhengkun Liu1、*, Xiangdong Xu1, and Shaojun Fu1
Author Affiliations
  • 1National Synchrotron Radiation Laboratory, University of Science and Technology of China, Hefei 230029, China
  • 2Beijing Institute of Space Mechanics & Electricity, Beijing 100076, China
  • show less
    DOI: 10.3788/COL201614.100501 Cite this Article Set citation alerts
    Jian Zhang, Mengjuan Li, Ganghua Yin, Jianchao Jiao, Zhengkun Liu, Xiangdong Xu, Shaojun Fu. Low-cost method of fabricating large-aperture, high efficiency, Fresnel diffractive membrane optic using a modified moiré technique[J]. Chinese Optics Letters, 2016, 14(10): 100501 Copy Citation Text show less

    Abstract

    To reduce the cost and achieve high diffraction efficiency, a modified moiré technique for fabricating a large-aperture multi-level Fresnel membrane optic by a novel design of alignment marks is proposed. The modified moiré fringes vary more sensitively with the actual misalignment. Hence, the alignment accuracy is significantly improved. Using the proposed method, a 20 μm thick, four-level Fresnel diffractive polyimide membrane optic with a 200 mm diameter is made, which exhibits over 62% diffraction efficiency into the +1 order, and an efficiency root mean square of 0.051.
    T1(r,θ)=a0+a1cos2πP1r.(1)

    View in Article

    T2(r,θ)=a0+a1cos2πP2re,(2)

    View in Article

    re2=r2+ε22εrcos(θφ).(3)

    View in Article

    rerεcos(θφ).(4)

    View in Article

    T(r,θ)=T1T2=a02+a0a1cos2πP1r+a0a1cos{2πP2[rεcos(θφ)]}+12a12cos2π[r(1P1+1P2)εP2cos(θφ)]+12a12cos2π[r(1P11P2)+εP2cos(θφ)],(5)

    View in Article

    α=2π[r(1P11P2)+εP2cos(θφ)].(6)

    View in Article

    r=(12+m)P1P2P2P1+P1P1P2cos(θφ)ε,(7)

    View in Article

    Mconventional=ΔrΔε=P1P1P2.(8)

    View in Article

    Δr13=P1P1P2ε,(9)

    View in Article

    Δr24=P1P1P2ε,(10)

    View in Article

    Mmodified=ΔrΔε=Δr13Δr24Δε=2P1P1P2.(11)

    View in Article

    d=(m1)λm(n1),(12)

    View in Article

    Jian Zhang, Mengjuan Li, Ganghua Yin, Jianchao Jiao, Zhengkun Liu, Xiangdong Xu, Shaojun Fu. Low-cost method of fabricating large-aperture, high efficiency, Fresnel diffractive membrane optic using a modified moiré technique[J]. Chinese Optics Letters, 2016, 14(10): 100501
    Download Citation