  Efficient simulation of the timing jitter in passively mode-locking lasers is
key to their numerical investigation and optimization. We introduce a method
based on the pulse-period fluctuation auto-correlation function and compare it
against established methods with respect to their estimate error. Potential
improvements of the computational cost by about two orders of magnitude are
reported. This advantage may facilitate larger parameter studies of passively
mode-locked laser on small scale clusters or even desktop computers and thereby
guide the target-oriented design of future lasers with ultra low timing jitter.
