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ECE304 
4)  Optoelectronic Devices: 
 Photodetectors 
 Solar cells 
Optoelectronics 
Optoelectronics is the study and application of electronic devices that serve to 
source, detect, and manipulate light; it is considered a sub-field of photonics. 
Optoelectronics is based on quantum mechanical effects of light and its interactions 
with semiconductors, sometimes in the presence of electric fields. 
Optoelectronic devices are electrical-to-optical (E-to-O) or optical-to-electrical        
(O-to-E) transducers. 
If the purpose is to detect a light signal, the device is called a photodetector. 
If the purpose is to generate electrical power, the device is called a solar cell. 
O-to-E:  A photodiode is simply a pn junction that permits light to be absorbed to 
generate photo-carriers 
E-to-O:  A diode which creates photons from injected charge carriers. 
Spontaneous emission comes from LED. 
Stimulated emission comes from laser diode. 
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Light absorption at p-n junction (review) 
A photodiode is simply a pn junction that permits light to be absorbed to 
generate a photo-current. Often this is a p-i-n junction, where the intrinsic region is 
inserted to increase the number of photons absorbed.  (Why?) 
A solar cell is simply a broad area pn junction the absorbs light to generate photo-
voltaic potential. 
A photon can be absorbed at a reversed biased junction:   
E
C 
E
V 
E
i 
E
Fn 
E
Fp 
reverse bias 
 create an electron and a hole 
 each of which is swept out of the depletion region   
Photodiodes 
Incident light hits the active area of the device, and some fraction is absorbed.  
The fraction of the light that is absorbed is given by 
where ! is the absorption coefficient (recall from past!), d is the detector thickness, 
and R is the reflection coefficient of the semiconductor (recall from past!). 
photodiode 
The photons create EHPs that become a current which is proportional to the 
incident light intensity. 
  
  
!
abs
=
P
abs
P
incident
= 1" R
( )
1" e
"#d
( )
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Detector photocurrent 
Absorbed photons create EHPs, which are swept to the terminals; 
we usually only consider current from electrons (holes have much 
lower mobility).  The photocurrent i
ph
 is given by: 
 
i
ph
 = P
incident
 !
q
h"
The diode equation is modified with an extra term to account for photo-generated 
current, i
ph
 
 
i = i
o
exp
eV
k
B
T
!
"
#
  $
%
&
 ' 1
(
)
*
*
  +
,
-
-
 ' i
ph
where " is the efficiency with which incident photons are converted into electrons. 
Hence we can define the detector responsivity: 
 
R !
  i
ph
P
incident
"
 q#
abs
h$
  =
 q#
abs
hc
 %
 
! " !
abs
(if we assume no absorbed photons heat up the detector) 
Responsivity 
Highly Sensitive Optical Receivers, (The Netherlands: Springer-Verlag Berlin Heidelberg, 2006). 
The responsivity tells us the conversion of input absorbed power to photocurrent. 
Different semiconductors have different responsivity. 
What limits the longer wavelength? 
Bandgap energy! 
What limits the shorter wavelength? 
Occupation of electrons in bands 
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pin example 
direction 
direction 
Photodiode modes of operation 
Let light intensity # (0 < #
1
 < #
2
 ) 
photodiode 
Short circuit 
(photoconductive) 
Open circuit 
(photovoltaic) 
change in photocurrent  change in photovoltage 
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Impact ionization 
Carriers can also be added to the conduction and valence band from: 
 impact ionization (reverse bias breakdown) 
impact ionization in a large E-field: 
electron gains kinetic energy in field; 
   collides with atom in lattice, 
   dislodges another electron (and creates a hole) 
Impact ionization creates a new EHP  
now 3 carriers are accelerated 
     and process can avalanche 
E
C 
E
V 
Avalanche photodiodes 
Avalanche breakdown 
Apply reverse bias near to breakdown 
voltage, V
BR
:  absorption of one photon 
creates many electrons 
E
C 
E
V 
E
i 
E
Fn 
E
Fp 
The limitation of p-i-n photodetectors is the lack of gain; that is, only one electron 
hole pair is generated per absorbed photon. 
Low-light applications require detectors with high photoconductive gain to boost the 
signal above the noise floor:  avalanche photo-detectors 
Gain: 
 
G =
I
I
o
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Total world power demand/year ~ 15 TW 
Sun output/year ~ 120,000 TW 
Covering 0.125 % of earths surface with 10% efficient solar cells would produce 
enough energy to supply the annual global demand. 
(This is about the size of Texas) 
Solar power 
solar cell 
Solar cells 
Photo-generated carriers generated within 1 diffusion length from the edge of the 
depletion region, will be accerated by the junction electric fields toward the majority 
carrier regions, thus creating photocurrent. 
E
C 
E
V 
E
i 
E
Fn 
E
Fp 
Often it is not convenient to shine light on pn junctions.  So instead we absorb 
light from the top: 
p-type 
n-type 
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Solar cells (cont.) 
A good design for solar cell*: 
1)  choose top layer thickness to be 1/! 
(which is probably >> depletion width) 
2)  top semiconductor should have long 
minority carrier diffusion length:  
minority carrier 
diffusion coefficient 
p-type 
n-type 
minority carrier 
lifetime 
why do we care about 
the minority carriers? 
How can we have long minority carrier lifetimes? 
*this design invented by Gerald Pearson at Bell Labs  
Solar cells (cont.) 
A solar cell has large area to absorb as 
many photons (at as many wavelengths) 
as possible. 
Large area amorphous Si solar cells 
typically have < 20% efficiency. 
Laboratory record is 40% and uses multi-
junction compound semiconductors. 
Why would having multiple bandgaps 
produce higher efficiency? 
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Solar cell absorption 
The efficiency of a solar cell is 
related to its electrical properties 
and its absorption spectrum.  
To absorb a sun photon, we need to overlap the solar spectrum. 
What limits GaAs absorption at long wavelength? 
What limits GaAs absorption at short wavelength? 
How can we improve the absorption of solar radiation?  
Bandgap energy 
Reflectivity and absorption increases 
Solar cell absorption (cont.) 
Use a material with bandgap wavelength of 0.7 !"#  %&' ()*+  
Use a material with bandgap wavelength of 1.6 !"#  %&' ()*+  
Or how about using 3 bandgaps instead? 
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Diode J vs V 
Light intensity 0 < #
1
 < #
2
 
J 
V 
Solar cell photocurrent 
The photocurrent of a solar cell is proportional to the area; so we naturally consider 
current density, J (units of A/area). 
We need the short circuit current (J
SC
) and open circuit voltage (V
OC
)  (more on this in 
HW5).  Recall what we know about diode: 
 
J V
(  )
 = J
SC
 ! J
dark
  V
(  )
= J
SC
 ! J
o
  e
qV
kT
 ! 1
"
#
$
  %
&
'
The short-circuit photocurrent of a 
solar cell is defined to be positive 
(more light means more photocurrent) 
so for an ideal diode: 
J
SC
 
V
OC
 
J 
V 
J
SC
 
V
OC
 
Solar cell photocurrent (cont.) 
Lets focus on the lower right hand quadrant of our J vs V curve,and flip over : 
Diode J vs V 
Light intensity 0 < #
1
 < #
2
 
J 
V 
Which for an optimized solar cell becomes: 
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Solar cell photocurrent (cont.) 
Solar cell J vs V 
Diode J vs V 
Light intensity 0 < #
1
 < #
2
 
J
SC
 
V
OC
 
The operating bias range of solar cell is 
0 volts (short circuit) to V
OC
. 
Solar cell efficiency 
Solar cell efficiency: 
 
! "
  P
max
P
incident
=
 J
max
V
max
P
incident
#
 J
sc
V
oc
P
incident
Note that J
max
 < J
SC
 and V
max
 < V
oc
. 
So the squareness of the J-V curve of a solar cell is a key performance characteristic. 
The cell power density is 
and the maximum power is 
 
P
max
= J
max
V
max
 
P = JV
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What is future of solar cells? 
Gut Erlasee solar farm in Germany 
Replace corn and soybeans? 
Solar mustang of the future? 
What happens if a cloud comes along? 
Detector summary 
Photodiodes:  p/n junction in reverse bias that absorbs light 
        photoconductive mode (short circuit) 
        photovoltaic mode (open circuit) 
 Photodetectorsused to measure amount of light incident   
 Solar cellsused to generate current or voltage from sunlight 
PiN photodiodes have a linear responsivity (depends on material) 
Avalanche photodiodes have gain (more electrons generated/incident photon) 
Efficient solar cells require:  large area 
         long minority carrier lifetimes 
         high efficiency (square J
max
 V
max
) 
         maximum spectral overlap with solar radiation