Source: https://www.osapublishing.org/oe/abstract.cfm?uri=oe-24-4-3377
Timestamp: 2019-04-21 12:50:08+00:00

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Spin angular momentum can contribute to both optical force and torque exerted on spheres. Orbit rate of spheres located in tightly focused LG beams with the same azimuthal mode index l is spin-controlled due to spin-orbit coupling. Laguerre-Gaussian beams with high-order azimuthal mode are used here to study the orbit rate of dielectric spheres. Orbit rates of spheres with varying sizes and refravtive indices are investigated as well as optical forces acting on spheres in LG beams with different azimuthal modes. These results would be much helpful to investigation on optical rotation and transfer of spin and orbital angular momentum.
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Fig. 1 Transverse electric fields on the focal plane of LG05 beams with (a) RCP, (b) LCP and (c) LP and trajectories of a sphere with radius of 0.5 µm and refractive index of 1.57 in LG05 beams with (d) RCP and (e) LCP, respectively. The starting position is (-λ, -λ, -λ). (f) The change of x-component of the sphere’s displacements as a function of time. The periods are 0.0113 s, 0.0145 s and 0.0124 s for LCP, RCP and LP, individually. Numerical aperture of lens is 1.2. The wavelength of the beams is λ = 800 nm in water.
Fig. 2 Transverse part (x and y components) of Poynting vector of tightly focused LG05 beams with (a) RCP and (b) LCP, respectively. The numerical aperture of lens is 1.2.
Fig. 3 (a) Rotation rates, (b) tangential optical forces and (c) torques acting on a sphere on its stable rotation orbits in LG beams with differing azimuthal modes. the refractive index of the sphere is 1.57, of which the radius is 0.5 µm. (d) Comparison of angular momentum of lights with different polarizaiton states and angular momentum of the orbitally moving sphere in these beams.
Fig. 4 Spin angular momentum in ħ per photon for non-paraxial Laguerre-Gaussian beams as a function of azimuthal mode index. The numerical aperture of the objective lens is NA = 1.2. Here the radial mode is p = 0.
Fig. 5 Rotation rates of spheres with varying (a) sizes and (b) refractive indices in right and left circularly polarized LG05 beams. (a) The refractive index of the spheres is 1.57. (b) The radius of the spheres is 0.5 µm.
(8) s r = ε 0 Im( E θ E φ * ) /ω .
(9) U= U 0 ( 2ψ ) l/2 L p l ( 2ψ )exp( ψ+ilφ ).

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