Dynamics of Particles Trapped by Dissipative Domain Walls
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Dynamics of Particles Trapped by Dissipative Domain Walls D. A. Dolinina1) , A. S. Shalin, A. V. Yulin ITMO University, 197101 St. Petersburg, Russia Submitted 26 April 2020 Resubmitted 29 May 2020 Accepted 30 May 2020
In this Letter we study the interactions of the dissipative domain walls with dielectric particles. It is shown that particles can be steadily trapped by the moving domain walls. The influence of the ratchet effect on particle trapping is considered. It is demonstrated, that the ratchet effect allows to obtain high accuracy in particle manipulation. DOI: 10.1134/S0021364020140027
Introduction. Nonlinear localized structures have been attracting much attention in recent time because of the two reasons. The first one is fundamental interest to their rich variety in physical systems of different natures, including hydrodynamics, plasma physics, biology and nonlinear optics, see [1–4]. And the second reason of high interest in nonlinear localized structures is their potential applications in many fields, including information optical processing [5, 6], optical fiber communications [7], and optical manipulation [8, 9]. One of the most interesting localized structures are switching waves, which are also often referred as “domain walls”, connecting different stationary spatially homogeneous states. In general case a domain wall moves extending the area of one of the uniform states and thus after some time the expanding state fills the cavity. The direction and the velocity of the domain wall motion strongly depends on the pumping intensity. But there is a special value of pumping intensity characterized by zero velocity of the domain wall and it is called a “Maxwell point”. Near the Maxwell point the domain walls are able to create different bound states, such as bright or dark solitons [10–12]. Another important effect of domain walls is reported in [13]. It is demonstrated that under biharmonical pumping the direction and the velocity of the domain wall can be controlled by changing only the mutual phase between the harmonics, it is so called “ratchet effect”. In this Letter we suggest a new strategy of optical manipulation of small particles by dissipative domain walls. This problem is closely related to the manipulation of the particles by dissipative bright solitons consid1) e-mail:
ered in [8, 9]. This Letter is devoted to the formation, stability and the dynamics of the bound states of the particles and the domain walls. Special attention is paid to the influence of the ratchet effect on the processes of particle capturing and on the possibility to use ratchet effect for nanoparticles manipulation. 2. The mathematical model. We considered a nonlinear Fabry–Perot resonator pumped by the coherent light with a dielectric particle, confined at the surface of the resonator due to, for example, electrostatic or molecular forces. Another possible realization of such a system is a hollow-core fiber (microcapillary) with the nanoparticles placed inside the fiber. Since the present Letter is just a theoretical proof of conce
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