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6 Transition Metal Solid-state Lasers

                                        300   Cr Concentration = 2.2 x  1019 ions:cm3
                                               A          (0.00063 atomic)

















                                             0.40   0.50    0.60   0.70
                                              Wavelength (micrometers)
                    FIGURE  14  Absorption spectra of Cr:BeAl,O,.  (a) a axis absorption. (b) b axis absorption (ci c
                    axis absorption. (Courtesy of M. L. Shand. Allied Signal Corporation.)

                        Quantum efficiency of Cr:BeAl,O,  is high, about 0.95 ar room temperature
                    [23]. Quantum  efficiency  was  measured  using  a  sophisticated  photoacoustic
                    technique.  which  measures  the phase  shift between  a modulated  pump source
                    and the photoacoustic signal. The high quantum efficiency of this laser material
                    promotes efficient laser operation.
                        The upper laser le.Jel lifetime of  Cr:BeAl,O,  is strongly temperature depen-
                    dent [2 11. Temperature-dependent effects can be successfully modeled by consid-
                    ering the population of the upper laser manifold to be divided between two mam-
                    folds, the 2E  and the 4Tq. Lifetimes of these two manifolds are 1.51 ms and 6.6 ps.
                    respectively  [20]. In c&parison,  the lifetime of  the ZT, manifold is assumed to
                    have an arbitrarily long lifetime. Assuming  thermal equilibrium  among the vari-
                    ous manifolds near the 2E  level, the fractional population of the various manifolds
                    can be calculated using Boltzmann‘s statistics. Iff,  and fr are the fractional popu-
                    lations of these two manifolds, the fluorescent lifetime can be approximated as



                    A  plot  of  this  lifetime  appears  in  Fig.  15. Near  room  temperature,  efficient
                    energy  storage under  flashlamp pumping  is feasible  with  lifetimes available in
                    this laser material.
                       Polarized emission spectra of  Cr:BeAl,OS  have both R  line features and  the
                    vibronic sidebands. Emission spectra are shown in Fig.  16. Vibronic spectra exist
                    &om the R lines, about 0.68 pm, to beyond 0.82 pm. Of the three emission spectra.
                    the strongest emission is associated with radiation polarized along the b axis. Conse-
                    quently, laser rods are usually cut so that the b axis is perpendicular to the axis of the
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