• Chinese Optics Letters
  • Vol. 14, Issue 3, 031404 (2016)
Weidong Qu, Huarong Gu, and Qiaofeng Tan*
Author Affiliations
  • State Key Laboratory of Precision Measurement Technology and Instruments, Department of Precision Instruments, Tsinghua University, Beijing 100084, China
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    DOI: 10.3788/COL201614.031404 Cite this Article Set citation alerts
    Weidong Qu, Huarong Gu, Qiaofeng Tan. Design of refractive/diffractive hybrid optical elements for beam shaping with large diffraction pattern[J]. Chinese Optics Letters, 2016, 14(3): 031404 Copy Citation Text show less

    Abstract

    Diffractive optics is an important technique for beam shaping with high light efficiency and strong diffraction pattern flexibility. Since the diffraction angle is limited by the unit size of the diffractive optical element (DOE), the size of the required diffraction pattern is always rather small. In this Letter, refractive/diffractive hybrid optical elements (RDHOEs) consisting of a DOE and a lens are used to realize beam shaping for a large diffraction pattern. The lens, as the component of the RDHOEs, can not only be concave but also convex, and the double sampling Fresnel diffraction algorithm is developed for the design of these two types of RDHOEs. The simulation and experimental results provide solid evidence to demonstrate the proposed method with the pure phase spatial light modulator.
    U1(x1)=exp[ik2f(x12)]F[U0(x0)],(1)

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    L0Lf=λfNorΔx0Δx1=fλ/N,(2)

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    U(x)=exp[ik2(zf)(x2)]F{U1(x1)exp[ik2(zf)(x12)]},(3)

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    LfLz=λ(zf)N.(4)

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    U(x)=exp[ik2(zf)(x2)]F{exp[ik2f(x12)]F[U0(x0)]exp[ik2(zf)(x12)]}.(5)

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    Lz=zffL0orΔx=zffΔx0,(6)

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    f=L0L0+Lzz,(7)

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    Lz=fzfL0orΔx=fzfΔx0,(8)

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    f=L0L0Lzz.(9)

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    z=f1Nλf/L02.(10)

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    Weidong Qu, Huarong Gu, Qiaofeng Tan. Design of refractive/diffractive hybrid optical elements for beam shaping with large diffraction pattern[J]. Chinese Optics Letters, 2016, 14(3): 031404
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