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A numerical analysis of the effect of partially-coherent light in photovoltaic devices considering coherence length

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Abstract

We propose a method for calculating the optical response to partially-coherent light based on the coherence length. Using a Fourier transform of a randomly-generated partially-coherent wave, we demonstrate that the reflectance, transmittance, and absorption with the incidence of partially-coherent light can be calculated from the Poynting vector of the incident coherent light. We also demonstrate that the statistical field distribution of partially-coherent light can be obtained from the proposed method using a rigorous coupled wave analysis. The optical characteristics of grating structures in photovoltaic devices are analyzed as a function of coherence length. The method is capable of providing a general procedure for analyzing the incoherent optical characteristics of thick layers or nano particles in photovoltaic devices with the incidence of partially-coherent light.

©2012 Optical Society of America

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Figures (8)

Fig. 1
Fig. 1 (a) Temporal behavior of a pseudo source in the time domain, (b) discrete Fourier transform of the pseudo source in Fourier domain, and (c) the modified partially-coherent source that originates from the data within the effective spectral width in time domain. The red diamonds represent data within the effective spectral width and the black diamonds represent the data outside of it.
Fig. 2
Fig. 2 (a) Schematic diagram of Si thin film. Calculated (b) reflectance and (c) absorption spectra with coherent and partially-coherent lights.
Fig. 3
Fig. 3 Calculated absorption spectra with oblique incidence (a) 30°, (b) 60°, and (c) 70°.
Fig. 4
Fig. 4 (a) Schematic diagram of Si thin film with grating structures. Calculated (b) reflectance and (c) absorption spectra with coherent and partially-coherent lights.
Fig. 5
Fig. 5 The amplitude distributions of the electric fields (a) with 525 nm (coherent), (b) with 525 nm (partially-coherent), (c) with 560 nm (coherent), and (d) with 560 nm (partially-coherent). The coherence time of partially-coherent wave is 5 fs.
Fig. 6
Fig. 6 (a) Device structure of the CIGS solar cell. (b) Calculated absorption spectra with coherent and partially-coherent lights.
Fig. 7
Fig. 7 (a) Device structure of the CIGS solar cell with grating structure. (b) Calculated absorption spectra with the coherent and partially-coherent lights.
Fig. 8
Fig. 8 (a) Spectral current density of CIGS solar cell. (b) Spectral current density of CIGS solar cell with grating structure.

Tables (1)

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Table 1 Total Current Density (mA/cm2) in the Absorption Layer of CIGS Solar Cells

Equations (13)

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L c = c W s ,
x re [n]=sin( 2πf n N T+ ϕ i ),
ϕ i = ϕ i1 + ϕ rand (fori=1,2,3,),
X k = 1 N n= N1 2 N1 2 x re [n] e jk 2π N n .
x re [n]= X 0 +2 k=1 N1 2 Re( X k e jk 2π N n ) ,
x im [n]=2 k=1 N1 2 Im( X k e jk 2π N n ) .
x[n]= x re [n]+j x im [n]= X 0 +2 k=1 N1 2 X k e jk 2π N n .
E= m=1 M E m = m=1 M ( E m,x , E m,y , E m,z ) e j ω m t ,
H= m=1 M H m = m=1 M ( H m,x , H m,y , H m,z ) e j ω m t ,
S z = E x H y * E y H x * =( m=1 M E m,x e j ω m t )( m=1 M H m,y * e j ω m t )( m=1 M E m,y e j ω m t )( m=1 M H m,x * e j ω m t ).
P z = 1 T 0 T S z dt = 1 T 0 T [ m=1 M ( E m,x H m,y * E m,y H m,x * ) ] dt= m=1 M P z,m ,
P z,m = 1 T 0 T S z,m = 1 T 0 T ( E m,x H m,y * E m,y H m,x * ) dt ,
T c = L c c .
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