Nonlinear Phenomena in Complex Systems, 2026, Vol.29, No.2, pp.170-180

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2026, Vol.29, No.2, pp.170-180

Features of Nanoparticle Motion Dynamics Under the Action of Evanescent Wave Light Pressure Force: Numerical Modeling and Asymptotic Approximations

A. Ch. Svistun, O. B. Tsekhan, E. V. Musafirov, and L. S. Gaida

The influence of evanescent wave light pressure forces arising from total internal reflection at the dielectric-liquid interface on dielectric spherical nanoparticles in a liquid medium is investigated. For the equation of nanoparticle motion under the action of the evanescent wave scattering force, taking into account the medium drag force, a qualitative analysis of the Cauchy problem solution behavior is performed and the asymptotic regime at large times is studied. Using the boundary function method for the singularly perturbed equation, in which the small parameter is represented by the particle mass, an asymptotic expansion of the solution is constructed. The obtained approximation is uniformly valid one on an entire non-negative time semi-axis and it allows describing the system dynamics both in the initial boundary layer region and at asymptotically large times. Analytical expressions approximating the particle position are derived and compared with numerical simulation results, confirming the high accuracy of the proposed approximations.

Key words: light pressure force, spherical nanoparticle, evanescent wave, nanoparticle transport, singular perturbations, boundary function method, asymptotic analysis

DOI: https://doi.org/10.5281/zenodo.21105545

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