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Timing Phase

Definition: a phase reflecting timing deviations by relating them to the pulse period

Categories: fluctuations and noise, optical metrology

Units: rad

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In the literature, the timing jitter of a mode-locked laser is often specified as the power spectral density not of the timing deviation Δt, but rather of the timing phase, which is defined as follows:

timing phase

where Δt is the timing error, T is the pulse period and frep the pulse repetition rate.

This definition is inspired by considering the emitted pulse train as a (usually highly anharmonic) oscillation of the optical power, which in the noiseless case can be seen as consisting of a sinusoidal signal and integer harmonics thereof, i.e. as a Fourier series. One pulse period corresponds to a change in the timing phase by 2π.

The power spectral density corresponding to the timing phase has units of rad2 Hz−1. It is also common to specify 10 times its logarithm to base 10 in units of dBc/Hz.

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See also: timing jitter, phase noise
and other articles in the categories fluctuations and noise, optical metrology

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