Page 455 - High Power Laser Handbook
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422   Fi b er   L a s er s            Intr oduction to Optical Fiber Lasers    423


                                                        g
                                        3
                                        F 5/2           f
                                                        e
                                            976 nm  915 nm  1025 nm  1081 nm

                                                        d
                                                        c
                                                        b
                                        3               a
                                        F
                                         7/2
                                                (a)
                                                   0.55
                    2.5
                                                          1               0%
                                     Absorption    0.45   0.8             20%
                    2.0
                   Cross section (pm 2 )  1.5     Net cross section (pm 2 )  0.35  0.6  60%
                                     Emission
                                                                          40%
                                                                          80%
                                                   0.25
                                                                          100%
                    1.0
                                                          0.4
                                                   0.15
                    0.5
                                                   0.05
                                                          0.2
                                                                  0
                    0.0                            −0.05
                     850  900  950  1000 1050  1100 1150  1000  1050  1100   1150
                             Wavelength (nm)                  Wavelength (nm)
                                 (b)                              (c)
                                           3+
                 Figure 15.7  (a) Energy levels of Yb ions. (b) Absorption and emission cross
                           3+
                 section of Yb  ions. (c) Net cross section for various inversion levels in
                 aluminosilicate fibers.
                      and  one  at  1080  nm,  e  →  c—dominate  the  emission  spectra.  The
                                                            3+
                      absorption and emission cross section of Yb  in an aluminosilicate
                      host are given in Fig. 15.7b. Net cross sections at various inversion
                      levels are given in Fig. 15.7c. For comparison, similar curves for Er
                                                                              3+
                             3+
                      and Tm  system are given in Figs. 15.8 and 15.9, respectively.
                   0.5
                                                     0.4       1.0
                   0.4
                  Cross section (pm 2 )  0.3  Absorption  Emission  Net cross section (pm 2 )  −0.2  0.6
                                                               0.8
                                                     0.2
                                                     0.0
                                                               0.4
                   0.2
                                                               0.2
                                                               0.0
                   0.1
                   0.0                              −0.4
                                                    −0.6
                     1400  1450  1500  1550  1600  1650  1500  1520  1540  1560  1580  1600 1620
                               Wavelength (nm)                Wavelength (nm)
                                  (a)                             (b)
                 Figure 15.8  (a) Absorption and emission cross sections. (b) Net cross sections at
                 various inversion levels of Er  ions in aluminosilicate fibers.
                                      3+
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