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316                           Lasers

                                            6.5
                                                  InSb




                                                                         AlSb
                                                           GaSb
                                           Lattice spacing (Å)  6.0  InAs  InP






                                                                                   AlAs
                                                                    GaAs

     Fig. 12.15                             5.5
                                                                                     GaP
     Relationship between energy gap and
     lattice spacing for some mixed III–V     0.0     0.5      1.0     1.5     2.0     2.5
     semiconductors.                                          Energy gap (eV)





                                   12.7.3  Bandgap engineering
                                   Commercial applications of quantum dot lasers may not be far away but tail-
                                   oring the properties of semiconductor lasers does not need to wait for that.
                                   Semiconductor lasers from infrared to ultraviolet can now be readily produced.
                                   The technique is based on each compound having a certain lattice spacing and
                                   a certain energy gap. This is shown for a number of compounds of varying
                                   compositions in Fig. 12.15. It may for example be seen that the line connect-
                                   ing GaAs with AlAs is nearly horizontal, that is, by adding judicious amount
                                   of Al to GaAs, we can realize compounds which have a fairly large range of
                                   energy gaps with roughly the same lattice constant.
     ∗  Strain introduced by having somewhat
     different lattice constants can actually be  The general problem may be stated as follows. Once the wavelength is
     beneficial, as pointed out in Section 9.15  chosen (say 1.55 μm, desirable for fibre communications) three compounds
                                                                      ∗
     on heterostructures.          with approximately the same lattice spacing must be found: compound 1 to
                                   serve as the highly doped substrate, compound 2 to provide the active region,
                                   and compound 3 to provide the material with the higher energy gap and lower
     Table 12.1 Compounds for laser
                                   refractive index.
     diodes
                                     Bandgap engineering has become a sophisticated science. A guide to mater-
                                   ials and laser wavelength ranges is given in Table 12.1 and a ‘road map’ of how
     Wavelength      Laser diodes
                                   to construct ternary compounds for particular bandgaps and lattice spacing is
     range (nm)      based on
                                   given in Fig. 12.15, where we give most of the III–V compounds having a cubic
      342–375        GaN           lattice (zinc blende types). The hexagonal lattice of the nitrides does not fit this
      375–700        InGaN         pattern, neither do they fit comfortably on any substrate. However, considerable
      600–900        A1GaAs        alloying is possible within the InN, GaN, and AlN materials to get practically
      630–750        GaInP
                                   any energy gap between 1.9 and 6.2 eV, even below 1.9 eV because of band
      870–1040       InGaAs
                                   bowing. For the cubic structures, alloys even stretch to quaternary compounds,
     1040–1600       InGaAsP
                                   which gives the possibility of a range of energy gaps for a fixed lattice, or vice
     1100–1670       GaInNAs
                                   versa.
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