  Recently a theoretical scheme explaining the vorticity generation by surface
waves in liquids was developed [S. Filatov et al., Phys. Rev. Lett. 116, 054501
(2016)]. Here we study how a thin (monomolecular) film presented at the surface
of liquid affects the generated vorticity. We demonstrate that the vorticity
becomes parametrically larger than for the case with a clean surface and now it
depends on viscosity of the liquid. We also discuss the motion of particles
passively advected by the generated surface flow. The results can be used in
different applications: from the analysis of pollutants' diffusion on the ocean
surface till the reconstruction of vorticity based on the particle image
velocimetry (PIV) measurements.
