Dynamics of particles trapped by dissipative solitons
D. A. Dolinina, A. S. Shalin, A. V. Yulin
ITMO University, 197101 Saint-Petersburg, Russia
Abstract
Optomechanical manipulation of nanoparticles enabling ultimate control
over their 3D motion is nowadays one of the most highly demanded links between
optics, biology, medicine, microfluidics, etc., paving the way for a plethora of
emerging applications from drug delivery to living cells, to new methods of
nanofabrication. In this Letter we provide novel type of optical manipulation
driven by nonlinear effects and laying on the interface between classical
optomechanics and non-linear optics. The formation, stability and the dynamics
of optical dissipative solitary waves interacting with dielectric nanoparticles
are studied theoretically. A mathematical model describing the optical field and
the particles are proposed and the stationary solutions in the form of localized
optical waves interacting with nanoparticles are found, their bifurctations are
studied. It is shown that the linear stability of the solitary waves is affected
by the particles but there are regions in the parameter space where the solitons
remain stable. The dynamics of the solitary waves with trapped nanoparticles
under the action of the inhomogeneous pump is also studied.