  Optical turbulence modelling and simulation are crucial for developing
astronomical ground-based instruments, laser communication, laser metrology, or
any application where light propagates through a turbulent medium. In the
context of spectrum-based optical turbulence Monte-Carlo simulations, we
present an alternative approach to the methods based on the Fast Fourier
Transform (FFT) using a quasi-random frequency sampling heuristic. This
approach provides complete control over the spectral information expressed in
the simulated measurable, without the drawbacks encountered with FFT-based
methods such as high-frequency aliasing, low-frequency under-sampling, and
static sampling statistics. The method's heuristics, implementation, and an
application example from the study of differential piston fluctuations are
discussed.
