This work started the dynamic singular optics, or real-time topological dynamics of developing singular light fields. We
have used the system "laser beam → photorefractive crystal LiNbO3: Fe" which generates slowly developing scalar or
vector random scattered singular light field (speckle patterns). It was investigated by elaborated technique of phase
reconstruction for a scalar field or real-time Stokes-polarimetry for reconstruction of a vector field ellipticity and
azimuth. It was shown the "life-story" of pair singularities from pre-nucleation up to after-annihilation states is realized
as 'local topological transition' with fully reversible scenarios. Applications of dynamic singular optics are discussed.