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108    Diode Lasers                                                                                                      Semiconductor Laser Diodes    109


                      index is achieved. The magnitude of the index step depends on how
                      deeply the ridge is etched and is typically less than 10 .
                                                                  –2
                         A larger lateral index step and confinement can be achieved in
                      buried-heterostructure  lasers.   This  structure  is  formed  by  a  deep
                                               8
                      etch through the active layer and subsequent regrowth with wider-
                      band-gap, lower-index layers to provide lateral mode confinement.
                      Current blocking layers are also formed during regrowth (Fig. 5.6b).
                      Although the regrowth process is well developed for InP/InGaAsP-
                      based material systems, it is much more difficult in GaAs/AlGaAs
                      material systems, due to oxidation of the aluminum-containing lay-
                      ers during the various process steps.


                 5.6  Efficiency of Laser Diodes
                      One  of  the  major  attributes  of  semiconductor  diode  lasers  is  the
                      electrical-to-optical  conversion  efficiency,  or  wall-plug  efficiency,
                      which is the ratio of optical power P over electrical power (or the
                      product of electrical current I and voltage V). High power conversion
                      efficiency (PCE) is especially important for high-power lasers, because
                      excessive heat can result in degradation of device performance. To
                      dissipate  excess  heat,  effective  cooling  is  needed,  which,  in  turn,
                      requires more electric power and space, as well as additional packaging
                      costs. Power loss in a semiconductor laser is divided among waste
                      voltage, waste current, and optical loss. Waste voltage is a combina-
                      tion of the excess of the laser’s turn-on voltage V  compared with the
                                                              to
                      voltage corresponding to the emitted photon energy V  and the volt-
                                                                    λ
                      age dropped over the series resistance R , which comprises semicon-
                                                        s
                      ductor layers, metal layers, and wire bonds. Waste current is divided
                      between the threshold current needed to reach the required gain and
                      the leakage current that is commonly described by the internal quan-
                      tum efficiency parameter η . Optical loss is due to distributed internal
                                            i
                      loss α —usually free carrier absorption—and external loss, such as
                           int
                      light lost out the rear facet. A simple expression for PCE is
                                                     I 
                                                 η i 1 −  I th  
                                                  
                                       PCE =                                (5.1)
                                            α     V −  V  I IR 
                                          1 +  int  1   +  to  λ  +  s 
                                            α m    V λ   V λ 

                      where mirror loss α  is
                                       m
                                               1     1  
                                          α =  2 L  ln     R R r       (5.2)
                                                        
                                           m
                                                     f
                                              hc
                                          V =  eλ                           (5.3)
                                           λ
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