Page 120 - Optical Communications Essentials
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Photodiodes and Receivers



          110  Chapter Seven


                      TABLE 7.1. Operating Wavelength Ranges for Several Different Photodetector
                      Materials
                      Material         Energy gap, eV       λ cutoff , nm  Wavelength range, nm
                      Silicon              1.17               1060             400–1060
                      Germanium            0.775              1600             600–1600
                      GaAs                 1.424              870               650–870
                      InGaAs               0.73               1700             900–1700
                      InGaAsP            0.75–1.35          1650–920           800–1650



                      quaternary materials indium gallium arsenide (InGaAs) and InGaAsP were
                      developed. Of these, InGaAs is used most commonly for both long-wavelength pin
                      and avalanche photodiodes. Table 7.1 summarizes the wavelength ranges over
                      which these materials are sensitive and the corresponding cutoff wavelength.

          7.1.3. Quantum efficiency
                      An important characteristic of a photodetector is its quantum efficiency, which
                      is designated by the symbol η (eta). The quantum efficiency is the number of
                      electron-hole pairs that are generated per incident photon of energy hν and is
                      given by

                                                                            p
                                     =
                                      number of eletron-hole pairs generated  =  I /  q  (7.2)
                                           number of incidentt photons     Ph/ν
                                                                            0
                      Here q is the electron charge, I p is the average photocurrent generated by a
                      steady photon stream of average optical power P 0 incident on the photodetector,
                      and ν   c/λ is the light frequency. In a practical photodiode, 100 photons will
                      create between 30 and 95 electron-hole pairs. This gives a quantum efficiency
                      ranging from 30 to 95 percent.


          7.1.4. Responsivity
                      The performance of a photodiode may be characterized by its responsivity R.
                      This is related to the quantum efficiency by

                                                        I   η q
                                                    R =  p  =                            (7.3)
                                                        P 0  hν

                      This parameter is quite useful since it specifies the photocurrent generated per
                      unit optical power. Figure 7.3 shows typical pin photodiode responsivities as a
                      function of wavelength. Representative values are 0.65A/W for silicon at 900nm
                      and 0.45A/W for germanium at 1300nm. For InGaAs, typical values are 0.9A/W
                      at 1300nm and 1.0A/W at 1550nm.


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