Transportation dynamics of dielectric particles with the gradient forces in the field of orthogonal standing laser waves
Autor: | V.M. Volkov, Denis V. Novitsky, A. A. Afanas’ev, Y. A. Kurochkin |
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Rok vydání: | 2021 |
Předmět: |
010302 applied physics
Physics Field (physics) FOS: Physical sciences Dielectric Radiation 01 natural sciences Pressure-gradient force Atomic and Molecular Physics and Optics Electronic Optical and Magnetic Materials 010309 optics Wavelength symbols.namesake Amplitude 0103 physical sciences symbols Particle Electrical and Electronic Engineering Atomic physics Bessel function Physics - Optics Optics (physics.optics) |
DOI: | 10.48550/arxiv.2106.03627 |
Popis: | We develop the theory of transportation and localization of a transparent dielectric spherical particle with the gradient forces in the interference field of orthogonally directed standing laser waves $E_z (\cos kz)$ and $E_x (\cos kx)$. It is shown that, when the waves $E_z$ and $E_x$ are coherent, the interference radiation field contains two harmonic components with the periods $\Lambda_0=\pi/k$ and $\Lambda_\Delta=\pi/(k \sin (\pi/4))$. The amplitudes of the gradient force components depend on the ratio of the particle radius $R$ to the modulation periods due to inhomogeneity of radiation in the particle volume and are given by the Bessel functions $J_{3/2} (2 \pi R/\Lambda_0)$ and $J_{3/2} (2 \pi R/\Lambda_\Delta)$. We find the critical particle radii $R_0$ and $R_\Delta=\sqrt{2} R_0$ defined by the Bessel functions zeros and corresponding to the vanishing components of the gradient forces. In particular, for the radiation with the wavelength $\lambda_0=1.064$ {\mu}m and a particle in water, the smallest critical radii are $R_0=0.286$ $\mu$m and $0.492$ {\mu}m and $R_\Delta=0.404$ $\mu$m and $0.696$ $\mu$m, respectively. For a number of special cases, we obtain the analytical solutions of the Newton equations and the particle trajectories that depend on the ratio of wave intensities and the particle radius. The results can be used to study the dynamics of the "optical assembly" of a two-dimensional particles matrix which behaves as a molecular crystal. Comment: 12 pages, 4 figures |
Databáze: | OpenAIRE |
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