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Laser modes and control techniques                      321



                                           L

                             Tilted etalon



                                         Laser gain medium
                                                                             Fig. 12.22
                                                                             Schematic representation of a laser
                                                                             oscillator in which single mode
                                                                             operation is achieved with the aid of
            M                                                           M
              1                                                           2  an etalon.


            12.8.3 Q switching
            This is a method for concentrating a large amount of power into a short time
            period. It is based on the fact that for the build-up of oscillations a feedback
            mechanism is needed, usually provided by mirrors. If pumping goes on, but we
            spoil the reflectivity of one of the mirrors (i.e. spoil the Q of the resonator) by
            some means, then there will be a lot of population inversion without any output.
            If the reflectivity is restored (i.e. the Q is switched) for a short period to its
            normal value, the laser oscillations can suddenly build up, resulting in a giant
            pulse output. The pulse duration might be as short as a few nanoseconds, the
                             10
            power as much as 10 W, and the repetition frequency may be up to 100 kHz.
            The easiest, though not the most practical, way of spoiling the Q is by rotating
            the mirror. The Q is then high only for the short period the mirrors are nearly
            parallel.

            12.8.4 Cavity dumping

            This is another, very similar method for obtaining short pulses also based on
            manipulating the Q of the resonator (called also ‘cavity’; that’s where the name
            comes from). We let the pump work and make the reflectivity 100% for a cer-
            tain period, so the oscillations can build up but cannot get out. If we now lower
            the reflectivity to zero, all the accumulated energy will be dumped in a time
            equal to twice the transit time across the resonator. The method may be used
            up to about a repetition rate of 30 MHz.


            12.8.5  Mode locking
            We have implied earlier that it is undesirable to have a number of axial modes
            in a laser. This is not always so. The large number of modes may come useful if
            we wish to produce very short pulses of the order of picoseconds. The trick is to
            bring the various axial modes into definite relationships with each other. How
            will that help in producing short pulses? It is possible to get a rough idea by
            doing a little mathematics. Let us assume that there are N +1 modes oscillating
            at frequencies ω 0 + lω, where l =(–N/2, ... ,0, ... , N/2), that they all have
            the same phase and amplitude, and they all travel in the positive z-direction
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