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Lasers

                                                                Lasers  171

          7.8  Summary
          A laser is an amplifier with positive feedback. Amplification is gener-
          ated by simulated emission of photons, and positive feedback is
          achieved using mirrors. In a laser that is optically excited, the absorp-
          tion rate of photons is equal to the emission rate. The emission rate is
          composed of both spontaneous and stimulated emission. The absorp-
          tion rate is due only to stimulated absorption. Optical gain will occur
          if the stimulated emission rate exceeds the stimulated absorption
          rate. Such a situation cannot occur in a two-level system because the
          same two levels are responsible both for absorption and emission of
          photons. In a three- or four-level system, the equilibrium between ab-
          sorption and emission is maintained, but the absorption takes place
          between one set of levels and the emission takes place between a dif-
          ferent set.
            Semiconductor lasers represent the largest class of lasers on the
          market because of their low cost, small size, high efficiency and pow-
          er, ease of use, and wide range of output wavelengths. A semiconduc-
          tor laser is an example of a four-level system. Putting a forward cur-
          rent through the diode causes recombination to occur, generating
          photons. Some of these photons will be emitted into the resonant
          modes of the cavity created by the mirrors. Only these photons will be
          amplified by stimulated emission. As the current is increased, these
          amplified modes will account for a greater percentage of the total re-
          combination. Threshold is reached when the amplification per round
          trip in the cavity exceeds the absorption and scattering losses for the
          same round trip.


          Bibliography
          G. P. Agrawal and N. K. Dutta, Long Wavelength Semiconductor Lasers, Van
             Nostrand Reinhold, New York, 1986.






          Figure 7.12. This figure show a sequence of optical spectra taken at increasing levels of
                                                                      2
          current in a blue laser based on GaN. The threshold current density is 3 kA/cm , only
          slightly larger than that measured in a typical GaAs-based laser at 920 nm. In the bot-
          tom frame of the figure, the spontaneous emission is seen to be filtered by the many
          longitudinal modes of the reflecting cavity. As the current is raised, the gain begins to
          increase, and this results in a concentration of the emitted intensity in the modes
          where the gain is largest, as well as a global increase of the light emitted. This process
          continues until threshold is reached, as shown in the top frame. At threshold, all the
          gain is concentrated in a few modes only. (Reproduced with permission from S. Naka-
          mura, MRS Internet J. Nitride Semicond. Res. 4S1, G1.1, 1999.)



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