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Chapter 4

Photodetectors
Content
• Physical Principles of Photodiodes
• pin, APD
• Photodetectors characteristics (Quantum efficiency,
  Responsivity)
• Photodiode Response Time
Introduction
• Light detection is a process that converts incident light
  into an electrical photocurrent.
• A light detection device is used at the front end of every
  optical receiver to generate a photocurrent proportional
  to the incident light intensity.
• Two main types (both semiconductors):
   – Photoconductors – their conductivity increases when
      the intensity of the incident light increases.
   – Photodiodes – absorb photons and generate
      photocurrent and are the primary type used in
      communication systems for their high response
      speeds. Two types – PIN diodes and APDs.
Absorption Coefficient
• One common characteristics of every light detection device is its
  light absorption ability.
• Light absorption is mainly determined by the absorption coefficient α
  of the detection device and the wave length of the light.
Cont’d
Cont’d
• For an absorption layer of thickness d and
  absorption coefficient α, the fraction of
  light power absorbed is (1  e d )
• When the energy of the incident photons is
  smaller than the energy gap of the
  material,    i.e,    hf     <       Eg  or
  λ>λc=(hc/Eg[ev])[μm], photons can not be
  absorbed to excite EHPs. α drops sharply
  when the wavelength exceeds λc.
Responsivity
• To quantify the photon absorption ability, a
  parameter called the quantum efficiency (η) is
  used.
• It is the ratio of the no of excited EHPs to the
  total number of incident photons. It is given by
              (1  R )(1  e d )
• Where R = r2 is the reflectivity at the front
  material. The equation assumes that a larger
  fraction of the incident power is absorbed. η can
  be increased by having a smaller R, a larger
  thickness or a larger α
Cont’d
• Once the quantum efficiency of a light detection
  device is known, the corresponding responsivity
  of the device is defined as
                    q       
                                 A /W
                    hf       1.24

• The responsivity of a light detection device is the
  ratio of the output photocurrent to the incident
  light power when the current gain is unity. It
  increases with λ but it has a sudden drop due to
  the wavelength cutoff condition.
Photoconductors
• Two main types of Photoconductions
• Intrinsic – is an intrinsic semiconductor.
• Extrinsic – a semiconductor with either N-type or P-type
  doping. Its conductivity increases when electrons (or
  holes) are excited from the N-type (or P-type) impurity
  level.
• Because intrinsic photoconductors require photons of
  much higher energies, they exhibit a strong long-
  wavelength cutoff effect.
• Extrinsic semiconductors have free carriers, so they
  have low resistance. This is undesirable from the thermal
  noise consideration.
Photodiodes
• Two types – PIN and APDs.
• The structure of a typical PIN diode is shown below.
Cont’d
• A photon with sufficient energy (hf) can excite an
  electron-hole pair. If the pair is in the presence
  of a large electric field, the electron and hole will
  be separated and move quickly in opposite
  direction, resulting in a photocurrent.
• If the pair is in the presence of a small or zero
  electric field, they move slowly and may even
  recombine and generate heat.
• Therefore, a strong electric field in the depletion
  region is essential.
Cont’d
• Because one absorbed photon generates
  one EHP in PINs, the photocurrent is a
  linear function of the input power Pin.
                         q           
              I ph        Pin        Pin  Pin
                         hf        1.24 
• At zero input power, the reverse bias
  current is called the dark current. The total
  current is thus
                   I tot  I d  I ph
Cont’d
• Unlike LEDs and LDs, photodiodes are generally
  operated at reverse bias for detection in optical
  communications. Some reasons:
   – Photodiodes have large resistance at reverse bias.
     Low resistance is undesirable from thermal noise
     consideration.
   – The electric field in the absorption layer is large at
     reverse bias – carriers move quickly to the external
     ckt – fast response – larger BW.
   – The width of the depletion region is large at reverse
     bias – results in small junction capacitance – small
     RC time constant – fast response.
pin Photodetector



                                    w




The high electric field present in the depletion region causes photo-generated carriers to
Separate and be collected across the reverse –biased junction. This give rise to a current
Flow in an external circuit, known as photocurrent.
Energy-Band diagram for a pin photodiode
Photocurrent
• Optical power absorbed,P(x)in the depletion region can be written in terms
  of incident optical power, P0 :

                                                           s (  ) x
                P( x)  P0 (1  e                                          )
• Absorption coefficient  s ( ) strongly depends on wavelength. The upper
  wavelength cutoff for any semiconductor can be determined by its energy
  gap as follows:
                                1.24
                   c ( m ) 
                               E g (eV)
• Taking entrance face reflectivity into consideration, the absorbed power in
  the width of depletion region, w, becomes:

                   (1  R f ) P( w)  P0 (1  e  s (  ) w )(1  R f )
Responsivity
• The primary photocurrent resulting from absorption is:

                        q
                  Ip     P0 (1  e  s (  ) w )(1  R f )
                       h

• Quantum Efficiency:

                  # of electron - hole photogener ated pairs
            
                             # of incident photons
                IP / q
            
               P0 / h
• Responsivity:
                       IP   q
                                               [A/W]
                       P0   h
Responsivity vs. wavelength
Avalanche Photodiode (APD)
APDs internally multiply the
primary photocurrent before it
enters to following circuitry.
In order to carrier multiplication
take place, the photogenerated
carriers must traverse along a
high field region. In this region,
photogenerated electrons and
holes gain enough energy to
ionize bound electrons in VB
upon colliding with them. This
multiplication is known as              Optical radiation
impact ionization. The newly
created carriers in the presence of   Reach-Through APD structure (RAPD)
high electric field result in more    showing the electric fields in depletion
ionization called avalanche           region and multiplication region.
effect.
Responsivity of APD

• The multiplication factor (current gain) M for all carriers generated in the
  photodiode is defined as:
                                 IM
                             M 
                                 Ip
• Where I M is the average value of the total multiplied output current & I P
  is the primary photocurrent.

• The responsivity of APD can be calculated by considering the current gain
  as:


                              q
                    APD        M  0 M
                              h
Photodetector Response Time

• The response time of a photodetector with its output circuit depends mainly
  on the following three factors:
   1- The transit time of the photocarriers in the depletion region. The transit
  time t ddepends on the carrier drift velocity v d and the depletion layer
  width w, and is given by:
                                         w
                                  td   
                                         vd
    2- Diffusion time of photocarriers outside depletion region.
    3- RC time constant of the circuit. The circuit after the photodetector acts
   like RC low pass filter with a passband given by:

                                 1
                           B
                              2RT CT
Photodiode response to optical pulse




                      Typical response time of the
                      photodiode that is not fully depleted
QUESTIONS ??




23

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Light detectors chapter 4

  • 2. Content • Physical Principles of Photodiodes • pin, APD • Photodetectors characteristics (Quantum efficiency, Responsivity) • Photodiode Response Time
  • 3. Introduction • Light detection is a process that converts incident light into an electrical photocurrent. • A light detection device is used at the front end of every optical receiver to generate a photocurrent proportional to the incident light intensity. • Two main types (both semiconductors): – Photoconductors – their conductivity increases when the intensity of the incident light increases. – Photodiodes – absorb photons and generate photocurrent and are the primary type used in communication systems for their high response speeds. Two types – PIN diodes and APDs.
  • 4. Absorption Coefficient • One common characteristics of every light detection device is its light absorption ability. • Light absorption is mainly determined by the absorption coefficient α of the detection device and the wave length of the light.
  • 6. Cont’d • For an absorption layer of thickness d and absorption coefficient α, the fraction of light power absorbed is (1  e d ) • When the energy of the incident photons is smaller than the energy gap of the material, i.e, hf < Eg or λ>λc=(hc/Eg[ev])[μm], photons can not be absorbed to excite EHPs. α drops sharply when the wavelength exceeds λc.
  • 7. Responsivity • To quantify the photon absorption ability, a parameter called the quantum efficiency (η) is used. • It is the ratio of the no of excited EHPs to the total number of incident photons. It is given by   (1  R )(1  e d ) • Where R = r2 is the reflectivity at the front material. The equation assumes that a larger fraction of the incident power is absorbed. η can be increased by having a smaller R, a larger thickness or a larger α
  • 8. Cont’d • Once the quantum efficiency of a light detection device is known, the corresponding responsivity of the device is defined as q    A /W hf 1.24 • The responsivity of a light detection device is the ratio of the output photocurrent to the incident light power when the current gain is unity. It increases with λ but it has a sudden drop due to the wavelength cutoff condition.
  • 9. Photoconductors • Two main types of Photoconductions • Intrinsic – is an intrinsic semiconductor. • Extrinsic – a semiconductor with either N-type or P-type doping. Its conductivity increases when electrons (or holes) are excited from the N-type (or P-type) impurity level. • Because intrinsic photoconductors require photons of much higher energies, they exhibit a strong long- wavelength cutoff effect. • Extrinsic semiconductors have free carriers, so they have low resistance. This is undesirable from the thermal noise consideration.
  • 10. Photodiodes • Two types – PIN and APDs. • The structure of a typical PIN diode is shown below.
  • 11. Cont’d • A photon with sufficient energy (hf) can excite an electron-hole pair. If the pair is in the presence of a large electric field, the electron and hole will be separated and move quickly in opposite direction, resulting in a photocurrent. • If the pair is in the presence of a small or zero electric field, they move slowly and may even recombine and generate heat. • Therefore, a strong electric field in the depletion region is essential.
  • 12. Cont’d • Because one absorbed photon generates one EHP in PINs, the photocurrent is a linear function of the input power Pin. q    I ph   Pin    Pin  Pin hf  1.24  • At zero input power, the reverse bias current is called the dark current. The total current is thus I tot  I d  I ph
  • 13. Cont’d • Unlike LEDs and LDs, photodiodes are generally operated at reverse bias for detection in optical communications. Some reasons: – Photodiodes have large resistance at reverse bias. Low resistance is undesirable from thermal noise consideration. – The electric field in the absorption layer is large at reverse bias – carriers move quickly to the external ckt – fast response – larger BW. – The width of the depletion region is large at reverse bias – results in small junction capacitance – small RC time constant – fast response.
  • 14. pin Photodetector w The high electric field present in the depletion region causes photo-generated carriers to Separate and be collected across the reverse –biased junction. This give rise to a current Flow in an external circuit, known as photocurrent.
  • 15. Energy-Band diagram for a pin photodiode
  • 16. Photocurrent • Optical power absorbed,P(x)in the depletion region can be written in terms of incident optical power, P0 :  s (  ) x P( x)  P0 (1  e ) • Absorption coefficient  s ( ) strongly depends on wavelength. The upper wavelength cutoff for any semiconductor can be determined by its energy gap as follows: 1.24  c ( m )  E g (eV) • Taking entrance face reflectivity into consideration, the absorbed power in the width of depletion region, w, becomes: (1  R f ) P( w)  P0 (1  e  s (  ) w )(1  R f )
  • 17. Responsivity • The primary photocurrent resulting from absorption is: q Ip  P0 (1  e  s (  ) w )(1  R f ) h • Quantum Efficiency: # of electron - hole photogener ated pairs  # of incident photons IP / q  P0 / h • Responsivity: IP q   [A/W] P0 h
  • 19. Avalanche Photodiode (APD) APDs internally multiply the primary photocurrent before it enters to following circuitry. In order to carrier multiplication take place, the photogenerated carriers must traverse along a high field region. In this region, photogenerated electrons and holes gain enough energy to ionize bound electrons in VB upon colliding with them. This multiplication is known as Optical radiation impact ionization. The newly created carriers in the presence of Reach-Through APD structure (RAPD) high electric field result in more showing the electric fields in depletion ionization called avalanche region and multiplication region. effect.
  • 20. Responsivity of APD • The multiplication factor (current gain) M for all carriers generated in the photodiode is defined as: IM M  Ip • Where I M is the average value of the total multiplied output current & I P is the primary photocurrent. • The responsivity of APD can be calculated by considering the current gain as: q  APD  M  0 M h
  • 21. Photodetector Response Time • The response time of a photodetector with its output circuit depends mainly on the following three factors: 1- The transit time of the photocarriers in the depletion region. The transit time t ddepends on the carrier drift velocity v d and the depletion layer width w, and is given by: w td  vd 2- Diffusion time of photocarriers outside depletion region. 3- RC time constant of the circuit. The circuit after the photodetector acts like RC low pass filter with a passband given by: 1 B 2RT CT
  • 22. Photodiode response to optical pulse Typical response time of the photodiode that is not fully depleted