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196    Cha pte r  S i x

               Incident photons strike a photocathode, which then emits electrons into
               the surrounding vacuum. The emitted electrons are directed by a focus-
               ing electrode onto a series of electrodes known as dynodes that are held
               at successively higher potentials. When the electrons strike the dyn-
               odes, secondary emission occurs, causing the number of electrons (and
               hence the current) to multiply rapidly. The cascade of dynodes gener-
               ates a virtually noise-free gain that can exceed 1 million with a band-
               width of more than 1 GHz. As a result, PMTs are an excellent choice for
               measurements that must be made at high speed or in low light levels.
                   Photodiodes are solid-state devices that are normally based on
               either p-n or p-i-n type architectures (Fig. 6.2).  In a p-n junction, the
                                                      2
               absorption of photons with energy greater than the semiconductor
               band gap generates an electron in the conduction band and a hole in
               the valence band. A high electric field exists in the depletion layer of
               the p-n junction which drives the photogenerated electrons and holes
               in opposite directions toward their respective electrodes, from where
               they are then extracted into the external circuit in the form of a cur-
               rent. The p-i-n devices behave in a similar way, except a lightly doped
               layer of near-intrinsic semiconductor is “inserted” between the p- and
               n-doped regions. This increases the width of the (high field) depletion
               layer and so increases the photoactive thickness of the device, result-
               ing in improved efficiency. In addition, since the electric potential is
               dropped over a greater distance, the junction capacitance is reduced,
               which, as we will see later, allows for faster performance.
                   In normal operation, p-n and p-i-n photodiodes generate at most
               one electron-hole pair for every absorbed photon, but they can be made
               to exhibit internal gain if they are operated at sufficiently high reverse
               biases. In this mode of operation, the photogenerated electrons and
               holes collide with atoms in the semiconductor crystal, generating


                                    Depletion layer
                                                     p      i       n
                                   p       n
                                     –  –             ––
                                         –  –               –
                                               E c
                                                                 –  –
                                     +  +             +  +     v       E c
                                hv
                                         +  +  E v  hv      +
                                                        hv       +  + +  E v
                                                                 hv
                   (a)                 (b)                   (c)
          FIGURE 6.2  (a) Typical Si photodiodes. (b) Band diagram of p-n type photodiode; the
          main photoactive region is defi ned by the high fi eld depletion zone which drives
          electrons and holes to the cathode and anode, respectively. (c) Band diagram of
          p-i-n type photodiode; the central intrinsic layer increases the thickness of the high
          fi eld region, resulting in an extended photoactive region and improved
          photosensitivity. The increased thickness also reduces the capacitance of the
          device, resulting in faster response. (Image (a) courtesy of Hamamatsu Photonics
          KK., All Rights Reserved.)
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