• Laser & Optoelectronics Progress
  • Vol. 59, Issue 13, 1326002 (2022)
Darong Zhu1、2、3, Ziliang Hu1、2, Fangbin Wang1、2、3、*, Xu Jin1、2, and feng He1、2
Author Affiliations
  • 1School of Mechanical and Electrical Engineering, Anhui Jianzhu University, Hefei 230601, Anhui , China
  • 2Key Laboratory of Construction Machinery Fault Diagnosis and Early Warning, Technology, Anhui Jianzhu University, Hefei 230601, Anhui , China
  • 3Key Laboratory of Intelligent Manufacturing of Construction Machinery in Anhui Province, Hefei 230031, Anhui , China
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    DOI: 10.3788/LOP202259.1326002 Cite this Article Set citation alerts
    Darong Zhu, Ziliang Hu, Fangbin Wang, Xu Jin, feng He. Spontaneous Emission Polarization Model of Metal Surface Based on Masking Function Modification[J]. Laser & Optoelectronics Progress, 2022, 59(13): 1326002 Copy Citation Text show less

    Abstract

    Due to the random distribution of micro-structure on the surface, the actual metal has obvious masking effect in light reflection or thermal radiation. The existing bidirectional reflection distribution function model using piecewise geometric attenuation factor is difficult to obtain high characterization accuracy. In this paper, first, the masking and shadowing effect of the inclination difference of adjacent micro-facet on the metal surface of the incident and outgoing light are analyzed. Then, the existing integral masking function is modified based on the geometric relationship between the inclination angle of micro-facet and light, the distribution of micro-facet on the metal surface is characterized by the Cauchy distribution, and a polarization model of spontaneous emission on the metal surface based on the masking function modification is proposed. Finally, the polarization degree of spontaneous emission of different metal materials under heating conditions is obtained through experiments to verify the effect of the modified model. The results show that the spontaneous emission model based on the masking function modification is more consistent with the experimental data than the existing model.
    Gθi,θr=min(1;cosαcosθrcosβ;cosαcosθicosβ)
    P(σ,q)=(q-1)(2σ)2q-2πcos3α(tan2α+2σ2)q
    G1θi,θr=-π2π2-θr1P(σ,q)dγ+π-2θr+απ20P(σ,q)dγ+π2-θrπ-2θr+αaa+bP(σ,q)dγ
    aa+b=sinαtanθr+cosα+cosγ-sinγtanθrcosα+sinαtanθr
    G2θi,θr=-π2π2-θi1P(σ,q)dγ+π-2θi+απ20P(σ,q)dγ+π2-θiπ-2θi+αaa+bP(σ,q)dγ
    aa+b=cosαcotθi+cosγcotθi+sinα-sinγcosαcotθi+sinα
    Gmin(θi,θr)=min(G1,G2)
    Fs(θi,φi,θr,φr,λ)=P(σ,q)4cos αcosθicosθrGθi,θr
    Fs(θi,φi,θr,φr,λ)=(q-1)(2σ)(2q-2)(tan2α+2σ2)q4πcosθicosθrcos4αGmin(θi,θr)
    cosα=cosθi+cosθr2cos βcos2β=cosθicosθr+sin θisinθrcosφr-φi
    Fd(θi,φi,θr,φr)=(cosθicosθr)πk
    Fv=12πσvexp(-θr22σv2)
    Fi,j=ks(q-1)(2σ)(2q-2)(tan2α+2σ2)q4πcosθicosθrcos4αGmin(θi,θr)·Mi,js+kd(cosθicosθr)πk·Mi,jd+kv12πσvexp(-θr22σv2)·Mi,jv
    αaλ,T,θ+ρλ,T,θ=1
    ε=αa=1-ρ
    εDEθi,λ=1-ρDHRθi,λ=1-02π0π/2Fθi,φi,θr,φr,λsinθrcosθrdθrdφr
    εsurθi,λ=εDEεbb
    εsurfθi,λ=1-ΩrF00θi,φi,θr,φr,λcosθrdΩr-ΩrF10θi,φi,θr,φr,λcosθrdΩr-ΩrF20θi,φi,θr,φr,λcosθrdΩr-ΩrF30θi,φi,θr,φr,λcosθrdΩr
    S=IQUV=εsurfIobj=Iobj-IobjΩrF00cosθrdΩr-IobjΩrF10cosθrdΩr-IobjΩrF20cosθrdΩr-IobjΩrF30cosθrdΩr
    S=IQU=Iobj-IobjΩrF00cosθrdΩr-IobjΩrF10cosθrdΩr-IobjΩrF20cosθrdΩr
    DDoP=Q2+U2I
    Darong Zhu, Ziliang Hu, Fangbin Wang, Xu Jin, feng He. Spontaneous Emission Polarization Model of Metal Surface Based on Masking Function Modification[J]. Laser & Optoelectronics Progress, 2022, 59(13): 1326002
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