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Course: Semiconductor
Optoelectronic Devices:
Noise performance of p-i-n & APD
Course Coordinator: Arpan Deyasi
1/22/2021 1
Arpan Deyasi, RCCIIT, India
p-i-n Diode: Quantum Efficiency
Drift current
( )
0 1 exp
drift
J q W
φ α
=
− − −
 
 
incident photon flux
width of ‘i’ layer
1/22/2021 2
Arpan Deyasi, RCCIIT, India
p-i-n Diode: Quantum Efficiency
Diffusion current
( )
0
0 exp
1
h
diffusion N
h
h
h
D
J qp
L
L
q W
L
α
φ α
α
= −
− −
+
α: absorption coefficient
pN0: hole concentration at the bulk
1/22/2021 3
Arpan Deyasi, RCCIIT, India
p-i-n Diode: Quantum Efficiency
Total current
total drift diffusion
J J J
= +
( )
( ) 0
0
1 exp
exp
1
h
total N
h
h
h
W
D
J q qp
L
W L
L
α
φ α
α
α
− − +
 
 
=
− −
 
−
 
+
 
1/22/2021 4
Arpan Deyasi, RCCIIT, India
p-i-n Diode: Quantum Efficiency
External quantum efficiency
total
ext
inc
J
q
P
Ah
η
ν
=
 
 
 
1/22/2021 5
Arpan Deyasi, RCCIIT, India
p-i-n Diode: Response Speed
External quantum efficiency
3
2
d
dB
r
f
t
π
Γ
=
( )
3
1
2
dB
f
FWHM
=
tr: impulse response time
1/22/2021 6
Arpan Deyasi, RCCIIT, India
p-i-n Diode: Noise performance
Pinc: optical power incident on p-i-n diode
rms optical power = Pinc/√2
rms photocurrent
2
ext inc
ph
q P
i
h
η
ν
=
1/22/2021 7
Arpan Deyasi, RCCIIT, India
p-i-n Diode: Noise performance
shot noise current
2
2 ( )
s ph B D
i q i I I B
= + +
IB: current due to background radiation
ID: dark current due to thermally generated
EHP’s in depletion region
1/22/2021 8
Arpan Deyasi, RCCIIT, India
p-i-n Diode: Noise performance
mean-square noise current
2
e
4
R
B
j
q
k TB
i =
( )
1
1 1 1
e
R q D L i
R R R
−
− − −
= + +
RD: shunt resistance
RL: load resistance
Ri: input resistance
1/22/2021 9
Arpan Deyasi, RCCIIT, India
p-i-n Diode: Noise performance
total signal power
2
e
R
ph q
S i
=
total noise power
( )
2 2
e
R
s j q
N i i
= +
1/22/2021 10
Arpan Deyasi, RCCIIT, India
p-i-n Diode: Noise performance
SNR =
total signal power
total noise power
( )
2
e
2 2
e
R
R
ph q
s j q
i
SNR
i i
=
+
1/22/2021 11
Arpan Deyasi, RCCIIT, India
p-i-n Diode: Noise performance
2
e
0.5
4
2 ( )
R
ext inc
B
ph B D
q
q P
h
SNR
k TB
q i I I B
η
ν
 
 
 
=
+ + +
1/22/2021 12
Arpan Deyasi, RCCIIT, India
p-i-n Diode: Noise performance
Sensitivity of a photodiode is an important characteristic
It is defined as minimum input optical power needed
to achieve SNR greater than a given value
A convenient measure of sensitivity is
Noise equivalent Power (NEP)
1/22/2021 13
Arpan Deyasi, RCCIIT, India
p-i-n Diode: Noise performance
When rms signal power becomes equal to NEP
photocurrent = noise current
NEP is calculated at unit frequency
1/22/2021 14
Arpan Deyasi, RCCIIT, India
p-i-n Diode: Noise performance
2
e
4
0.5 2 ( )
R
ext inc B
ph B D
q
q P k T
q i I I
h
η
ν
 
= + + +
 
 
0.5
e
4
2 ( )
R
2
inc B
ph B D
ext q
P h k T
q i I I
q
ν
η
 
 
+ + +
 
  
  
1/22/2021 15
Arpan Deyasi, RCCIIT, India
Avalanche photodiode
1/22/2021 16
Arpan Deyasi, RCCIIT, India
Avalanche photodiode
higher level of sensitivity as a result of avalanche gain
. Much higher operating voltage may be required
. Avalanche photodiode produces a much higher level
of noise than a PN photodiode
. Avalanche process means that the output is not
linear
Advantage
Disadvantage
1/22/2021 17
Arpan Deyasi, RCCIIT, India
APD: Noise performance
Pinc: optical power incident on p-i-n diode
rms optical power = Pinc/√2
rms photocurrent
2
ext inc
ph G
q P
i
h
η
ν
= Γ
ΓG: internal gain
1/22/2021 18
Arpan Deyasi, RCCIIT, India
APD: Noise performance
shot noise current
2 2
2 ( )
s ph B D G
i q i I I B F
= + + Γ
IB: current due to background radiation
ID: dark current due to thermally generated
EHP’s in depletion region
F: excess noise factor
1/22/2021 19
Arpan Deyasi, RCCIIT, India
APD: Noise performance
mean-square noise current
2
e
4
R
B
j
q
k TB
i =
( )
1
1 1 1
e
R q D L i
R R R
−
− − −
= + +
RD: shunt resistance
RL: load resistance
Ri: input resistance
1/22/2021 20
Arpan Deyasi, RCCIIT, India
APD: Noise performance
total signal power
2
e
R
ph q
S i
=
total noise power
( )
2 2
e
R
s j q
N i i
= +
1/22/2021 21
Arpan Deyasi, RCCIIT, India
APD: Noise performance
SNR =
total signal power
total noise power
( )
2
e
2 2
e
R
R
ph q
s j q
i
SNR
i i
=
+
1/22/2021 22
Arpan Deyasi, RCCIIT, India
APD: Noise performance
2
2
e
0.5
4
2 ( )
R
ext inc
G
B
ph B D G
q
q P
h
SNR
k TB
q i I I B F
η
ν
 
Γ
 
 
=
+ + Γ +
1/22/2021 23
Arpan Deyasi, RCCIIT, India
APD: Noise performance
2
2
e
4
0.5 2 ( )
R
ext inc B
G ph B D G
q
q P k T
q i I I F
h
η
ν
 
Γ = + + Γ +
 
 
0.5
2
e
2
4
2 ( )
R
inc
ext G
B
ph B D G
q
P h
q
k T
q i I I F
ν
η
 
= ×
 
Γ
 
 
+ + Γ +
 
 
 
1/22/2021 24
Arpan Deyasi, RCCIIT, India

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Noise performance of p-i-n and APD

  • 1. Course: Semiconductor Optoelectronic Devices: Noise performance of p-i-n & APD Course Coordinator: Arpan Deyasi 1/22/2021 1 Arpan Deyasi, RCCIIT, India
  • 2. p-i-n Diode: Quantum Efficiency Drift current ( ) 0 1 exp drift J q W φ α = − − −     incident photon flux width of ‘i’ layer 1/22/2021 2 Arpan Deyasi, RCCIIT, India
  • 3. p-i-n Diode: Quantum Efficiency Diffusion current ( ) 0 0 exp 1 h diffusion N h h h D J qp L L q W L α φ α α = − − − + α: absorption coefficient pN0: hole concentration at the bulk 1/22/2021 3 Arpan Deyasi, RCCIIT, India
  • 4. p-i-n Diode: Quantum Efficiency Total current total drift diffusion J J J = + ( ) ( ) 0 0 1 exp exp 1 h total N h h h W D J q qp L W L L α φ α α α − − +     = − −   −   +   1/22/2021 4 Arpan Deyasi, RCCIIT, India
  • 5. p-i-n Diode: Quantum Efficiency External quantum efficiency total ext inc J q P Ah η ν =       1/22/2021 5 Arpan Deyasi, RCCIIT, India
  • 6. p-i-n Diode: Response Speed External quantum efficiency 3 2 d dB r f t π Γ = ( ) 3 1 2 dB f FWHM = tr: impulse response time 1/22/2021 6 Arpan Deyasi, RCCIIT, India
  • 7. p-i-n Diode: Noise performance Pinc: optical power incident on p-i-n diode rms optical power = Pinc/√2 rms photocurrent 2 ext inc ph q P i h η ν = 1/22/2021 7 Arpan Deyasi, RCCIIT, India
  • 8. p-i-n Diode: Noise performance shot noise current 2 2 ( ) s ph B D i q i I I B = + + IB: current due to background radiation ID: dark current due to thermally generated EHP’s in depletion region 1/22/2021 8 Arpan Deyasi, RCCIIT, India
  • 9. p-i-n Diode: Noise performance mean-square noise current 2 e 4 R B j q k TB i = ( ) 1 1 1 1 e R q D L i R R R − − − − = + + RD: shunt resistance RL: load resistance Ri: input resistance 1/22/2021 9 Arpan Deyasi, RCCIIT, India
  • 10. p-i-n Diode: Noise performance total signal power 2 e R ph q S i = total noise power ( ) 2 2 e R s j q N i i = + 1/22/2021 10 Arpan Deyasi, RCCIIT, India
  • 11. p-i-n Diode: Noise performance SNR = total signal power total noise power ( ) 2 e 2 2 e R R ph q s j q i SNR i i = + 1/22/2021 11 Arpan Deyasi, RCCIIT, India
  • 12. p-i-n Diode: Noise performance 2 e 0.5 4 2 ( ) R ext inc B ph B D q q P h SNR k TB q i I I B η ν       = + + + 1/22/2021 12 Arpan Deyasi, RCCIIT, India
  • 13. p-i-n Diode: Noise performance Sensitivity of a photodiode is an important characteristic It is defined as minimum input optical power needed to achieve SNR greater than a given value A convenient measure of sensitivity is Noise equivalent Power (NEP) 1/22/2021 13 Arpan Deyasi, RCCIIT, India
  • 14. p-i-n Diode: Noise performance When rms signal power becomes equal to NEP photocurrent = noise current NEP is calculated at unit frequency 1/22/2021 14 Arpan Deyasi, RCCIIT, India
  • 15. p-i-n Diode: Noise performance 2 e 4 0.5 2 ( ) R ext inc B ph B D q q P k T q i I I h η ν   = + + +     0.5 e 4 2 ( ) R 2 inc B ph B D ext q P h k T q i I I q ν η     + + +         1/22/2021 15 Arpan Deyasi, RCCIIT, India
  • 17. Avalanche photodiode higher level of sensitivity as a result of avalanche gain . Much higher operating voltage may be required . Avalanche photodiode produces a much higher level of noise than a PN photodiode . Avalanche process means that the output is not linear Advantage Disadvantage 1/22/2021 17 Arpan Deyasi, RCCIIT, India
  • 18. APD: Noise performance Pinc: optical power incident on p-i-n diode rms optical power = Pinc/√2 rms photocurrent 2 ext inc ph G q P i h η ν = Γ ΓG: internal gain 1/22/2021 18 Arpan Deyasi, RCCIIT, India
  • 19. APD: Noise performance shot noise current 2 2 2 ( ) s ph B D G i q i I I B F = + + Γ IB: current due to background radiation ID: dark current due to thermally generated EHP’s in depletion region F: excess noise factor 1/22/2021 19 Arpan Deyasi, RCCIIT, India
  • 20. APD: Noise performance mean-square noise current 2 e 4 R B j q k TB i = ( ) 1 1 1 1 e R q D L i R R R − − − − = + + RD: shunt resistance RL: load resistance Ri: input resistance 1/22/2021 20 Arpan Deyasi, RCCIIT, India
  • 21. APD: Noise performance total signal power 2 e R ph q S i = total noise power ( ) 2 2 e R s j q N i i = + 1/22/2021 21 Arpan Deyasi, RCCIIT, India
  • 22. APD: Noise performance SNR = total signal power total noise power ( ) 2 e 2 2 e R R ph q s j q i SNR i i = + 1/22/2021 22 Arpan Deyasi, RCCIIT, India
  • 23. APD: Noise performance 2 2 e 0.5 4 2 ( ) R ext inc G B ph B D G q q P h SNR k TB q i I I B F η ν   Γ     = + + Γ + 1/22/2021 23 Arpan Deyasi, RCCIIT, India
  • 24. APD: Noise performance 2 2 e 4 0.5 2 ( ) R ext inc B G ph B D G q q P k T q i I I F h η ν   Γ = + + Γ +     0.5 2 e 2 4 2 ( ) R inc ext G B ph B D G q P h q k T q i I I F ν η   = ×   Γ     + + Γ +       1/22/2021 24 Arpan Deyasi, RCCIIT, India