Polychromatic Hilbert diagnostics of the evolution of vortex rings induced by a pressure jump on a hole

Abstract

The evolution of vortex structures induced by a pressure jump on the output hole of the chamber is experimentally studied by methods of the Hilbert diagnostics. Various types of optical filters that ensure the Hilbert and Foucault-Hilbert transforms are considered. Colored visualization of the fields of the phase optical density of the vortex structure in an air medium is performed by using a linear source of white light and a quadrature Hilbert filter.