Page 112 - Tunable Lasers Handbook
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4  CO,  Isotope Lasers and Their Applications   93

                     significant change in the beat frequency after interchanging the two stabilizing
                    cells, which had very different internal geometries and volumes, and (within the
                    frequency  resolution  of  our  system)  no  measurable  effects  due  to  imperfect
                     and/or slightly truncated TEMoo, beam profiles.
                        We have used external stabilizing cells with 2-cm clear apertures at the beam
                    entrance window. Inside the cell, the  laser beam  was  turned back  on  itself  (in
                     order to provide a  standing wave) by  means of  a flat, totally reflecting mirror.
                     Slight misalignment of  the return beam  was used  as  a dispersion-independent
                    means of avoiding optical feedback. External stabilizing cells were used, instead
                    of an internal absorption cell within the laser cavity, in order to facilitate the opti-
                    mization of  SNIP, in the 4.3-pm detection optics, independent of laser design con-
                     straints. External cells w-ere also easily portable and usable with  any  available
                    laser. The FWHM of the saturation resonance dip ranged from 700 kHz to  1 or 2
                    MHz as the pressure was varied from  10 to about 200 to 300 mTorr within the
                    relatively small (2-crn clear aperture) stabilizing cells employed in  our experi-
                    ments. By using a 6.3-cm-diameter cell,  164-kHz RVHM saturation resonance
                    dips were reported by Kelly [86]. Because the FWHM of the CO, saturation res-
                    onance due to pressure is about 7.5 kHz/mTorr. much of  the lin&idth  broaden-
                    ing is due to  other causes such as power and transit-time broadening, second-
                    order Doppler shift. and recoil effects. More detailed discussions of  these causes
                    can be found in [76,112], and in the literature on primary frequency standards but
                     any further consideration of these effects is well beyond the scope of this chapter.
                        The  saturated 4.3-pm fluorescence frequency stabilization method has  been
                    recently extended to sequence band CO, lasers by Chou et al. [87,88]. The sequence
                    band transitions in CO, are designated as (000~)-[100(u-  1). 020 (u- l)lI.*. where
                    li > 1 (u = 1 defines the-regular bands discussed in this and previous sections of this
                    chapter). Sequence band lasers were intensively studied by Reid and Siemsen at the
                    NWC  in Ottawa beginning in  1976 [89,90]. Figure 17 shows the sinnplified vibra-
                    tional energy-level diagram of  the  CO,  and N,  molecules, with solid-line arrows
                    showing the various cw lasing bands observed so far. The dotted-line arro\vs show
                    the 43-pm fluorescence bands that were utilized for line-center stabilization of the
                    great multitude of individual lasing transitions.
                        Figure  17 clearly shows that for the (0002)-[1001,   0201],,,  first sequence
                    band transitions the laver laser levels are approximately 2300 crn-1 above those
                    of the regular band transitions and therefore the population densities of the first
                    sequence band laser levels are about four orders of  magnitude less than in the
                    corresponding regular band  laser levels. Chou  er  al. overcame this problem by
                    using  a heated  longitudinal C07 absorption cell  (L-cell) in  which  the  4.3-ym
                    fluorescence was monitored through a 3.3yrn bandpass filter in the direction of
                    the laser beam  [87,88]. Due to the increased CO,  temperature, photon trapping
                     [82,83,87] was  reduced.  and  by  increasing  the fluorescence  collecting  length
                    they increased the intensity of sequence band fluorescence so that z.  good enough
                    SNR was obtained at relatively low cell temperatures.
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