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4  CO, Isotope Lasers and Their Applications   87


                    S/N  =  -1000                   T = 0.1 we  (ringla pole)
                     Af  =  -f 200 kHz             Po  = 1.m W;  P(20); l0.6~
                     tm =  260 Hz                   p  = 0.034 Torr























            FIGURE  12  Derivative signal  at 4.3 pm in the vicinity of the standing-wave saturation reso-
            nance shown in Fig. 11. SNR - 1000, Af - f200 kHz, and t = 0.1 sec (single pole).



            pure CO,  to a pressure of 0.034 Torr at room temperature. It is a straightforward
            procedure to  line-center-stabilize a  CO,  laser through  the  use  of  the  4.3-pm
            derivative signal as a frequency discriminant, in conjunction with a phase-sensi-
            tive detector. Any deviation from the center frequency of  the lasing transition
            yields a positive or negative output voltage from the phase-sensitive detector.
            This voltage is then utilized as a feedback signal in  a servoloop to obtain the
            long-term frequency stabilization of the laser output.
               Figure 13 shows a block diagram of  a two-channel heterodyne calibration
            system. In the system, two small, low-pressure, room-temperature C0,-gas  ref-
            erence cells external to the lasers were used to line-center-stabilize two grating-
            controlled stable lasers. The two-channel heterodyne system was used  exten-
            sively for  the  measurement  and  calibration  of  C0,-isotope  laser  transitions
            [36,37].
               Figure 14 shows the spectrum-analyzer display of a typical beat-note of the
            system shown in Fig. 13. Note that the SNR is greater than 50 dB at the 24.4 GHz
            beat frequency of  the two laser transitions with the use of  varactor photodiode
            detection developed at MIT Lincoln Laboratory [74,75].
               Figure 15 illustrates the time-domain frequency stability that we have rou-
            tinely achieved with the two-channel heterodyne calibration system by using the
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