Journal of East China Normal University(Natural Science) ›› 2022, Vol. 2022 ›› Issue (2): 106-113.doi: 10.3969/j.issn.1000-5641.2022.02.012

• Physics and Electronics • Previous Articles     Next Articles

Calculation of particle motion trajectories in optical force fields

Hailei XIE, Junjie DU*()   

  1. School of Physics and Electronic Science, East China Normal University, Shanghai 200241 China
  • Received:2021-03-11 Online:2022-03-25 Published:2022-03-28
  • Contact: Junjie DU


In this paper, the motion trajectory of micro-nanoparticles is calculated based on the Euler-Richardson algorithm after the optical force exerted on the particles is determined using Mie scattering theory. The Euler-Richardson algorithm has better calculation accuracy and faster convergence speed than the Euler algorithm and the Euler-Kromer algorithm, and thus is an appropriate approach to describe the trajectory of particles. Hence, the motion trajectory of a nanoparticle in a periodic conservative optical force field is calculated based on the Euler-Kromer algorithm; the results confirm consistency with the physical analysis, further verifying the effectiveness and stability of the approach. The calculation method shown in this paper provides a high-efficiency approach to study optical trapping, transport, sorting of colloidal particles, and biological macromolecules as well as the cooling of macroscopic particles in optical micro-manipulation.

Key words: Euler-Richardson algorithm, optical force field, particle motion trajectory

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