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Semiconductor lasers                        311

               ) a (                           ) b (






                                                                      eU
                                         E                      E       1
               E                          C                      C
                F
                                                                             Fig. 12.11
                                                                             An AlGaAs–GaAs heterojunction
                                                                      eU
                                                                        1    (a) at thermal equilibrium, (b) at a
                                         E
                                          V                     E V          forward bias of eU 1 .


                                              +
                                             p – Ga As

                                             p – Ga Al As

                                                       p – Ga As

                                                       n – Ga Al As
                                                                             Fig. 12.12
                                                                             Schematic representation of a double

                                                       n – Ga As             heterojunction GaAlAs laser with
                                                                             external Bragg reflector mirrors.


            higher. The threshold current will also be small on account of the small
            thickness, d, of the active region [see eqn (12.38)] which is 100 nm in our
            example.
               Can we further decrease the threshold current? Yes, both common sense and
            eqn (12.38) tell us that we need higher reflectivity mirrors. One way of doing
            this is to use an external Bragg reflector, as shown in Fig. 12.12. Each slight
            corrugation will cause a small reflection which all add up in phase at the right
                      ∗
            wavelength. By these means threshold currents as small as 0.5 mA have been  ∗  The corrugations (or slight bumps) can
            achieved.                                                        actually be inside the laser, in which
               It is very nice, indeed, to reduce the threshold current because that will  case we talk about a Distributed Bragg
                                                                             Reflector laser or DBR.
            reduce the power consumption of devices (e.g. compact disk players) using
            semiconductor lasers. But those lasers have to deliver a certain amount of
            power. There is no way of getting out a fair amount of power without putting
            in a fair amount of power, so it is also of crucial importance how the output
            power increases as the current exceeds its threshold value.
               Let us now come back to the role of d, the thickness of the active region. As
            we reduce it, the threshold current decreases simply because fewer electrons
            need to be supplied to make up for spontaneous emission. Fewer electrons
            being available will also reduce the achievable power output. For this reason
            d cannot be usefully reduced to a value smaller than about 100 nm. Actually,
            if our aim is to reduce the thickness further without losing output power, we
            could simply increase the number of wells, say by a factor of 10, and make
            each of them a thickness of d/10.
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