Page 293 - Tunable Lasers Handbook
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6 Transition Metal Solid-state Lcsers   53

                    laser manifold. For four-level laser operation, the lower laser manifold  is well
                    above the ground manifold. Thus. the lower laser level has virtually no population
                    density at its operating temperature. A  virtually empty lower laser level makes
                    threshold much easier to achieve since a high lower laser level population density
                    does not  have  to  be  overcome. Cr:BeAl,O,,  on  the  other hand, operates on  a
                    vibronic transition (see Fig.  13). As  such. the population density of the ground
                    level does not have to be overcome in order to reach threshold, In short, since the
                    population density of the ground level does not have to be overcome, Cr:BeAl,Q,
                    operating on a vibronic transition resembles the operation of a four-level laser.
                        Even though the overall symmetry of  the  BeA1,0,  crystal is considerably
                    different than  the A1,0,  crystal, the  approximate octahedral symmetry for  the
                    active atom prevails. As in the case of Cr:AI,O,,  the Cr in Cr:Be4120, substitutes
                    €or the Al. Typical concentrations of  Cr are in the range from 0.0005 to 0.003
                    atomic. That is. between 0.0005 and 0.003 of  the A1  atoms are replaced by  Cr
                    atoms. However, there are two different A1 sites in this material. One site has mir-
                    ror symmetry: the other has inversion symmetry. Most of the Cr substitutes for A1
                    in the slightly larger mirror site. about 0.78 of  the Cr is found in chis  site [20].
                    This is fortunate because this site is by far the dominant site for laser action. Both
                    Al sites are approximated as being octahedral. That is. the Cr atom is surrounded
                    by six 0 atoms forming an approximate octahedron. However, distortions to the
                    approximate octahedron provide for different optical properties along three axes.
                        BeA1,0,,  like A1,Oj,  has excellent mechanical and thermal properties for a
                    laser  material  [21]. Thermal  conductivity is  about half  that  of  AY,O,  but  still
                    larger than the thermal conductivity of most other laser materials. It  also a hard
                    material, conducive to taking a good optical polish. The laser induced damage
                    threshold for this material is very  high. Excellent thermal  and optical damage
                    thresholds are important since this material is generally subjected to higher ther-
                    mal and optical energy  densities than higher gain materials. Germane physical
                    properties are listed in Table 2.
                        BeA1,0,  is a birefringent material; however, it is a biaxial material rather
                    than an uniaxial material. That is. there are two directions in this material for
                    which the index of refraction is independent of  the polarization. The refractive
                    indices of this material are about 1.74. Difference between the refractive indices
                    along the a and c axes is relatively small, about 0.002, whereas the difference
                    between the a and b axes is significantly larger, about 0.005.
                        Because of its biaxial nature, there are three absorption and emission spec-
                    tra, associated with the a, b, and c axes of the laser material. In general. absorp-
                    tion  along  any  of  these  directions  displays  two  broad  absorption  features.
                    Absorption peaks occur at approximately 0.42 and 0.56 pm as shown in Fig. 11.
                    The second absorption peak for radiation polarized along the b axis occurs at a
                    somewhat longer wavelength, about 0.59 pm. Linewidths for the absorption fea-
                    tures are about 0.05 and 0.08 pm, respectively. Absorption peaks are associated
                    with  the  transitions berween  the -TI and IT,  levels and the  ,AAz ground level
                    Even for lightly doped laser material, the absorption coefficients at the peak are
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