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4 CO,  Isotope lasers and Their Applications   14






                      where the coefficients a and b were calculated from tabulated [ 1241 unperturbed
                      energy-le\;el splittings 6 and the energy-level splittings A. including Fermi reso-
                      nance effects. as
                                                                  I,
                                      a = [(A + 6) / ?A]'  '; b = (I - a')  -.      (21)


                                                                                      -
                      Table  12  summarizes  the  results  Silver  et  al.  obtained  [123]  for  12C160i,
                      12C18O,, and 13C160,.
                         In ;heir  1970 paier, Silver et al. [ 1231 gave results only for the ratios of  the
                      measured P(20) gain values but  not  for the  individual gain coefficients. More
                      comprehensive  experiments  were  carried  out  at  MIT  Lincoln  Laboratory  by
                      Freed et al. in  1981 in which both the small-signal gain coefficients a.  and the
                      saturation parameters I, were determined [125] for five laser transitions in each
                      of the four rotational branches of  the  (0001-1)  and (0001-11)  vibrational bands.
                      Some of  the results associated with the P(20) transitions are listed in Table  13


                      TABLE  1 2  Results of Silver et a/. [ 1231







                       Gain coefficient


                      TABLE  13  Comparison of the Small-Signal Gain Coefficients and Saturation
                      Parameters of the P(20) Transitions in Five CO,  Species0











                      I  Calculated   -     1.3       0.5      3.2      1 .o      7.1
                                  K-I
                                  K-I1

                      OReprinted with permission from Freed et al. [125]. 0 1982 IEEE.
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