• Photonics Research
  • Vol. 7, Issue 8, 875 (2019)
Yingfei Pang1,2,3, Axiu Cao1, Jiazhou Wang1, Hui Pang1..., Wei Yan1, Xiangdong Wu2, Lifang Shi1,4,* and Qiling Deng1,5,*|Show fewer author(s)
Author Affiliations
  • 1Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610209, China
  • 2School of Mechanical Engineering, Southwest Jiaotong University, Chengdu 610031, China
  • 3University of Chinese Academy of Sciences, Beijing 100049, China
  • 4e-mail: shilifang@ioe.ac.cn
  • 5e-mail: dengqiling@ioe.ac.cn
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    DOI: 10.1364/PRJ.7.000875 Cite this Article Set citation alerts
    Yingfei Pang, Axiu Cao, Jiazhou Wang, Hui Pang, Wei Yan, Xiangdong Wu, Lifang Shi, Qiling Deng, "Design and experimental verification of a monolithic complete-light modulator based on birefringent materials," Photonics Res. 7, 875 (2019) Copy Citation Text show less

    Abstract

    This paper presents a method to design a monolithic complete-light modulator (MCLM) that fully controls the amplitude, phase, and polarization of incident light. The MCLM is made of birefringent materials that provide different refractive indices to orthogonal eigen-polarizations, the ordinary o and extraordinary e states. We propose an optimization method to calculate the two relief depth distributions for the two eigen-polarizations. Also, a merging algorithm is proposed to combine the two relief depth distributions into one. The corresponding simulations were carried out in this work and the desired light distribution, including information on amplitude, phase, and four polarization states, was obtained when a laser beam passed through a 16-depth-level micro-structure whose feature size is 8 μm. The structure was fabricated by common photolithography. An experimental optical system was also set up to test the optical effects and performances of the MCLM. The experimental performance of the MCLM agrees with the simulation results, which verifies the validity of the algorithms we propose in this paper.
    E(x,y)=A(x,y)exp[iφ(x,y)]{cos[θ(x,y)]sin[θ(x,y)]exp[iδ(x,y)].(1)

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    {Eo(x,y)=A(x,y)cos[θ(x,y)]exp[iφ(x,y)]Ee(x,y)=A(x,y)sin[θ(x,y)]exp[iφ(x,y)]exp[iδ(x,y)].(2)

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    {Eo(x,y)=Ao(x,y)exp[iφo(x,y)]Ee(x,y)=Ae(x,y)exp[iφe(x,y)].(3)

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    Ee(x,y)={rAe(x,y)exp[iφe(x,y)],(x,y)SE1(x,y),(x,y)N,(4)

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    RMSE=[|E1(x,y)||Ed(x,y)|]2[|Ed(x,y)|]2,(x,y)S,(5)

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    ϕ(x,y)=2π(n1)λh(x,y),(6)

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    {Δf(1)(x,y)=modλ[h(x,y)×(no1)]ho(x,y)×(no1)Δf(2)(x,y)=modλ[h(x,y)×(ne1)]he(x,y)×(ne1),(7)

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    ΔF(x,y)=k=12[Δf(k)(x,y)]2.(8)

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    h(x,y)=p(x,y)×λne1.(9)

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    Yingfei Pang, Axiu Cao, Jiazhou Wang, Hui Pang, Wei Yan, Xiangdong Wu, Lifang Shi, Qiling Deng, "Design and experimental verification of a monolithic complete-light modulator based on birefringent materials," Photonics Res. 7, 875 (2019)
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