  We introduce a new method for generation of the phase screen samples with
arbitrary spatial spectrum: Sparse Spectrum with uniform wave vectors (SU).
Similar to the known Sparse Spectrum (SS) technique, it uses trigonometric
series with random discrete support on the wave vector plane, but, unlike the
SS technique, the random wave vectors are uniformly distributed on the
individual segments of the wave vector plane partition. We compare the accuracy
and computational effectiveness of the SU technique with ubiquitous
subharmonics complemented DFT method, SS method, and recently published,
randomized DFT technique [J. Opt. Soc. Am. B 36, 3249 (2019)]. SSU and SS
algorithms generate unbiased samples, for screens with bounded phase variance,
and show the superior computational effectiveness for one megapixel and larger
screens.
