• Laser & Optoelectronics Progress
  • Vol. 60, Issue 1, 0112005 (2023)
Chenyang Wei, Qian Wang, and Honglu Hou*
Author Affiliations
  • School of Optoelectronic and Engineering, Xi'an Technological University, Xi'an 710021, Shaanxi, China
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    DOI: 10.3788/LOP212833 Cite this Article Set citation alerts
    Chenyang Wei, Qian Wang, Honglu Hou. Simulation and Experimental Study of Doping Properties of a Silicon Wafer Using Optical Cavity Ring-Down Measurement Method[J]. Laser & Optoelectronics Progress, 2023, 60(1): 0112005 Copy Citation Text show less

    Abstract

    The cavity ring-down method has an extremely high measurement sensitivity to the absorption of a medium in the cavity and can be used to accurately measure cavity loss. Based on the theories of free carrier absorption and resonant cavity, this study establishes a theoretical model of an optical cavity ring-down to measure the properties of semiconductor materials and derives the functional relationship among the cavity ring-down signal, semiconductor material characteristic parameters, and cavity structure parameters. Simulation analysis and experimental verification are performed. Simulation results show that the cavity ring-down method can be used to accurately measure semiconductor material properties, such as doping concentration and resistivity. Meanwhile, based on the proposed method, the doping concentration and resistivity of a crystalline silicon wafer are determined experimentally to be (2.65±0.38)×1016 cm-3 and (0.61±0.07) Ω?cm respectively, exhibiting the high application potential of this method for measuring semiconductor material properties.
    E0H0=ME4H4
    H0=YE0H4=η4E4
    E01Y=M1η4E4
    BC=M1η4
    BC=cosδ1iη1sinδ1iη1sinδ1cosδ1cosδ2iη2sinδ2iη2sinδ2cosδ2·cosδ3iη3sinδ3iη3sinδ3cosδ31η4
    r=η0-Yη0+Y
    R=rr*=η0B-Cη0B+Cη0B-Cη0B+C*
    T=1-Rη4ReBC*=4η0η4η0B+Cη0B+C*
    BC=cosδ1iη1sinδ1iη1sinδ1cosδ1cosδ3iη3sinδ3iη3sinδ3cosδ31η4
    T=1-R21-R2+4Rsin2δ
    Iin(v)=I0πΔvL(v-v0)2+ΔvL2
    Iout=v1v2IinvTvdv=v1v2I0πΔvLv-v02+ΔvL24η0η4η0B+Cη0B+C*dv
    It=I1exp-tτ
    τ=Lc1-R+γ
    τ0=Lc1-R
    τ1=Lc1-R+ksample
    Nd=Lcd2σfc1τ1-1τ0
    ρ=1.305×1016Nd+1.133×1017Nd1+2.58×10-19Nd-0.737Ωcm
    ρ=6.242×101810ZNdΩcm,Z =C0+C1y+C2y2+C3y31+D1y+D2y2+D3y3
    σ Nd=NdL2σL2+Ndd22σd22+Ndτ12στ12+Ndτ02στ02
    Chenyang Wei, Qian Wang, Honglu Hou. Simulation and Experimental Study of Doping Properties of a Silicon Wafer Using Optical Cavity Ring-Down Measurement Method[J]. Laser & Optoelectronics Progress, 2023, 60(1): 0112005
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