SLIDE 1 Arno Smets
Solar Cell Operation, Performance and Design Rules
Light Trapping II - Anti-Reflection and Trapping Methods
Week 3.3.5
SLIDE 2
Parasitic losses = outside absorbing layers
p-type C-Si
Al
Al Al P++ P++
N+
n+ 2
Reflection
2 4
Transmission
4
SLIDE 3
Parasitic losses = outside absorbing layers
p-type C-Si
Al
Al Al P++ P++
N+
n+ 2
Reflection
2
SLIDE 4
Snell’s Law
i t r n1 n2
r i t 2 i 1
sin n sin n
SLIDE 5
r i t 2 i 1
sin n sin n
i t r n1 n2
The Fresnel equation
SLIDE 6
P- and S- polarization
P-polarization S-polarization
SLIDE 7 Fresnel coefficients
2 i 2 t 1 i 2 t 1 p
) cos( n ) cos( n ) cos( n ) cos( n R
2 t 2 i 1 t 2 i 1 S
) cos( n ) cos( n ) cos( n ) cos( n R
p p
R 1 T
s S
R 1 T P-polarization S-polarization
SLIDE 8 Reflection coefficient (n1 < n2)
Rs , Rp (%) Angle of Incidence i (o) 20 40 60 80 20 40 60 80 100 Brewster Angle
P-polarization S-polarization
n1=1.0 n2=1.5
SLIDE 9 Reflection coefficient (n1 > n2)
Rs , Rp (%) Angle of Incidence i (o) 20 40 60 80 20 40 60 80 100
P-polarization S-polarization
Total internal reflection n1=1.5 n2=1.0
SLIDE 10 Reflection coefficient (n1 > n2)
Rs , Rp (%) Angle of Incidence i (o) 20 40 60 80 20 40 60 80 100
P-polarization S-polarization
n1=1.5 n2=1.0 crit = 41.8o Total internal reflection
SLIDE 11 Reduction Front Reflection:
n0 ns
2 s 2 s s
) n n ( ) n n ( R
2 s s s
n n n n 4 T
SLIDE 12
Reduction Front Reflection:
n0 ns
R0s = 0.388 T0s = 0.612
SLIDE 13
2 s s s
n n n n 4 T
N1 Ns
2 s 1 2 s 1 s 1
) n n ( ) n n ( R
2 1 2 1 01
) n n ( ) n n ( R
Rayleigh film First order approximation
N0
2 1 1 01
n n n n 4 T
SLIDE 14 10 0.8 0.6 0.4 0.2 0.0
Refractive Index n1 Total Reflection
1.0 1.5 2.0 2.5 3.0 3.5 4.0
For siliconand air: @ 500 nm Ns N0
1 . 2 3 . 4 1 n n n
S 1
Lower reflection coeff
SLIDE 15 N1=2.07 Ns=4.3 N0=1 air silicon silicon Anti-reflection
612 . T s
0
T
eff = 0.771
388 . R s
0
229 . Reff
air
SLIDE 16
Interference:
SLIDE 17
Interference:
constructive Interference =0 destructive Interference =
SLIDE 18 Interference: the anti-reflection coating
Destructive interference Ei Er1 Er2 =
2
n 4 d
SLIDE 19 Macroscopic roughness (d>>)
Path of light rays Are determined By refraction.
Reflected Incident light 36 Reflected
SLIDE 20
Parasitic losses = outside absorbing layers
p-type C-Si
Al
Al Al P++ P++
N+
n+ 4
Transmission
4
SLIDE 21
Enhancement of Absorption path length in Thin Film Solar cells
0i 0i 0i 0i 0i 0i 0i i< critical
SLIDE 22 100 80 60 40 20 40 60 80
Angle of Incidence 0i (o) Rs , Rp ( % )
20
Total internal reflection
SLIDE 23
Enhancement of Absorption path length in Thin Film Solar cells
i< critical
SLIDE 24
Enhancement of Absorption path length in Thin Film Solar cells
SiO2 silicon n2=1.5 n2=1.5 n1=4.3 SiO2
SLIDE 25
Enhancement of Absorption path length in Thin Film Solar cells
ZnO silicon N2=2.2 n2=2.2 n1=4.3 ZnO
SLIDE 26
Light management in solar cells
Ld Increasing the absorption path length
SLIDE 27
Thank you for your attention!
SLIDE 28 a `
p-type textured surface
Enhancement absorption pathlength