• Chinese Optics Letters
  • Vol. 15, Issue 6, 062401 (2017)
Qi Wang1, Li Zhang1, Xin Wang1, Haiyan Quan1, Zhanguo Chen1、*, Jihong Zhao1, Xiuhuan Liu2, Lixin Hou3, Yanjun Gao1, Gang Jia1, and Shaowu Chen4
Author Affiliations
  • 1State Key Laboratory on Integrated Optoelectronics, College of Electronic Science and Engineering, Jilin University, Changchun 130012, China
  • 2College of Communication Engineering, Jilin University, Changchun 130012, China
  • 3College of Information Technology, Jilin Agricultural University, Changchun 130118, China
  • 4State Key Laboratory on Integrated Optoelectronics, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China
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    DOI: 10.3788/COL201715.062401 Cite this Article Set citation alerts
    Qi Wang, Li Zhang, Xin Wang, Haiyan Quan, Zhanguo Chen, Jihong Zhao, Xiuhuan Liu, Lixin Hou, Yanjun Gao, Gang Jia, Shaowu Chen. Optical rectification and Pockels effect as a method to detect the properties of Si surfaces[J]. Chinese Optics Letters, 2017, 15(6): 062401 Copy Citation Text show less

    Abstract

    The depth profile of electric-field-induced (EFI) optical rectification (OR) and EFI Pockels effect (PE) in a Si(110) crystal are investigated. The results show that EFI OR and PE signals are very sensitive to the electric field strength in the surface layers of the Si crystal. Theoretical formulas that include the electric field parameters and the widths of the space-charge region are presented and agreed very well with the experimental results. The experiments and simulations indicate that EFI OR and PE are potential methods for researching the surface/interface properties along the depth direction in centrosymmetric crystals such as Si.
    Pz(0)=εE2(ω){[χzxx(2eff)+χzzz(2eff)]+[χzxx(2eff)χzzz(2eff)]cos2θ},(1)

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    χ(2eff)=Ebi·χ(3).(2)

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    {E1(z)=Emax1[1+(zt)/W1]tW1zt,E2(z)=Emax2[1(zt+d)/W2]tdztd+W2,E3(z)=0td+W2ztW1,(3)

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    I(x,z)=2P0πω0e2(x2+z2)/ω02,(4)

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    VOR(t)tW1tdzE1(z)·I(x,z)dx+tdtd+W2dzE2(z)·I(x,z)dx.(5)

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    VOR(t)P0·2π[tW1tEmax1(1+ztW1)e(2z2)/ω02dz+tdtd+W2Emax2(1zt+dW2)e(2z2)/ω02dz].(6)

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    Qi Wang, Li Zhang, Xin Wang, Haiyan Quan, Zhanguo Chen, Jihong Zhao, Xiuhuan Liu, Lixin Hou, Yanjun Gao, Gang Jia, Shaowu Chen. Optical rectification and Pockels effect as a method to detect the properties of Si surfaces[J]. Chinese Optics Letters, 2017, 15(6): 062401
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