Nonlinear Phenomena in Complex Systems, 2026, Vol.29, No.1, pp.82

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2026, Vol.29, No.1, pp.82 - 91

Features of the Dynamics of a Nanoparticle Motion Under the Action of the Light Pressure Force of an Evanescent Wave in the Linear Approximation

A. Ch. Svistun, E. V. Musafirov, D. V. Guzatov, and L. S. Gaida

The action of light pressure forces of an evanescent electromagnetic wave, formed by total internal reflection at the dielectric-liquid interface, on dielectric spherical nanoparticles located in a liquid medium is considered. An analytical solution for the equation of motion of a nanoparticle under the action of the scattering force of an evanescent wave, taking into account the drag force of the medium in the approximation of small displacements, is obtained. It is shown that the applicability region of linearization does not strongly depend on the sign of the discriminant of the characteristic equation of the linearized system, but rather on the initial conditions and observation time.

Key words: light pressure force, spherical nanoparticle, evanescent wave, nanoparticle transport, linearization
DOI: https://doi.org/10.5281/zenodo.19347222

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