  In recent times, we experimentally realized a quite efficient modeling of the
shape of diffraction-resistant optical beams; thus generating for the first
time the so-called Frozen Waves (FW), whose longitudinal intensity pattern can
be arbitrarily chosen, within a prefixed space interval of the propagation
axis. Such waves possess a host of potential applications: in medicine,
biomedical optics, optical tweezers, atom guiding, remote sensing, tractor
beams, optical communications or metrology, and other topics in photonic areas.
In this work, we extend our theory of FWs -- which led to beams endowed with a
static envelope -- through a dynamic modeling of the FWs, whose shape is now
allowed to evolve in time in a predetermined way. And we experimentally create
such dynamic FWs in Optics, via a computational holographic technique and a
spatial light modulator. Experimental results are here presented for two cases
of dynamic FWs, one of the zeroth and the other of higher order, the last one
being the most interesting, consisting in a cylindrical surface of light whose
geometry changes in space and time.
