Dynamics of a nanoparticle in an optical trap formed by a photonic jet modulated by a standing wave in a microfluidic channel

A mathematical model has been proposed for an optical trap, in which a nanoparticle is captured by the field of a standing wave formed upon reflection of a photon jet from a dielectric surface. The equations of motion for the nanoparticle under the action of a trap field in the presence of viscous friction in the medium (liquid) have been formulated. The conditions for stable capture of a nanoparticle in the trap have been estimated analytically. The role of friction in the stability of the trap has been analyzed by numerically solving the equations of motion.