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8  Tunable External-Cavity Semiconductor  Lasers   363

                              200          400    600   800   1000   1600  2000
                                            1      I    I    I   I  l  l  I  /
                                Commercially
                                available           H       H    H   H   H  I
                                devices

                                Wavelength range   H        H        H
                                of commercial    AIGalnP!GaAs   InGaAsiGaAs   InGaAsAnP
                                technologies       610-690   H880-1100,   /i600-2100
                                                      AIGaAdGaAs   InGaAaPilnP
                                                       780-880   1 100-1 600
                               I
                                                      H
                                New         +I   Il-V1 and Ill-V   InGaAsP,GaAs
                                materials
                                             compounds   690-880
                                              400-600
                                            I      I    I   I   I  l  l  I
                              200          400    600   800   1000   1600  2000
                                                Wavelength (nm)
                     FIGURE  7  \Vavelength  ranges of diode  laser technologies.  (Reproduced with permission  from
                     Waarts [1Z].i


                     away from the band edges, there are more states to fill, and their rate of motion
                     with respect to pumping rate slows down. This tends to limit band filling. A typi-
                     cal tuning range for bulk active-region gain media is roughly ~AV~,~~, = 50 meV.
                     For a more quantitative discussion of the factors determining the gain profile of a
                     semiconductor laser. see [ 131.
                        The gain profile is experimentally determined by placing the gain chip in an
                     external cavity laser and measuring the threshold current versus wavelength. The
                     tuning curve typically has a "bathtub"  shape with a relatively flat central region
                     and steeply  sloped sides (Fig. 8)  [14]. The long-wavelength side (approaching
                     the band edge) is quite abrupt. The roughly constant energy limit of band filling
                    just mentioned implies a wavelength  tuning range that increases roughly as the
                     square of  the center wavelength. This is born out by the data in Table 2.  which
                     gives typical tuning ranges for different active-region materials and center wave-
                     lengths.  From these  values  the  following  empirical  expression  relating  tuning
                     range to center wavelength can be deduced:


                                     AL = 4.2 x 10-' A:   (AA and a  in nrn)  .   (16)

                     2.9.2 Quantum  We!/ Active-Region  Gain Media
                        Two major  effects  are  associated  with  the  reduction  of  the  active  region
                     thickness  from  -0.1  prn  to  -10  nm.  First,  the  injection  current  required  to
                     sustain  transparency  is reduced  by  about  the  same factor  as the  active-region
                     thickness.  Thus,  ECLs  with  quantum-well  gain  media  have  lower  threshold
                     currents.  Second, the  quantum-well  density  of  states is a  staircase function  of
                     (hv -E,)  that is everywhere lower than the corresponding (hv -E,):? function for
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