Abstract
Nowadays, the mode locking of various kinds of laser is a well-established technique. However, the phase-locking phenomenon caused by continuous resonator-length variation, discovered experimentally by Smith in 1967, is very different from other phase-locking phenomena, and its mechanism is still unclear. This paper shows first how this phenomenon can be simulated by numerical calculation of the laser equations, and next describes how the phases and frequencies of the modes change, keeping the envelopes of the phase-locked pulses constant. The catastrophic change to or from the phase-locked state as a function of the rate of resonator-length variation obtained by our numerical calculation is in good agreement with the results of the experiments by Smith.
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