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A mode-locked laser is capable of emitting extremely short pulses on the order of tens of picoseconds down to less than 10 femtoseconds. These pulses will repeat at the round trip time, that is, the time that it takes light to complete one round trip between the mirrors comprising the resonator.
Note that a complete cycle of vibration is the time taken for the pulse to travel twice the length L of the flute (once in each direction). The pulse travels at the speed of sound v, so the cycle would repeat at a frequency of v/2L, as we shall see again below.