Fig. 3 | Nature Communications

Fig. 3

From: Transverse spin forces and non-equilibrium particle dynamics in a circularly polarized vacuum optical trap

Fig. 3

Graphical comparison of the key physical quantities in regimes I and II. a Mean value of the orbit radius, 〈ro〉, as a function of optical power. The insets show the probability density of the particle positions in the lateral xy plane relative to the given scale bar. Data related to circularly polarized beams (CP) are denoted by , Δ, and for the orbiting regime II. Δ and symbols correspond to increasing and decreasing optical power, respectively. For comparison data corresponding to parallel linear polarization (LP) are marked by black + signs. The sequence in which the data was acquired is indicated by colors and markers: red circles, red triangles, blue triangles, blue circles, +, and green circles. Overlapping points red circles with red triangle and blue triangles with blue circles illustrate how different calculation methods, used for regime I and II, overlap in the region where the orbiting is not fully developed. b Resonant trap frequency ω0/2π or orbiting frequency Ωo/2π for regime I or II, respectively. The theoretical value from Eq. (7b), is indicated by the horizontal red line. Measured values of ξ/m, and calculated values of fr/fϕ have been used. c Spin force, fϕ, for a particle of radius 770 nm and density 2200 kg m−3. The presented values were determined as the mean value for x and y directions from fits to the PSD (Supplementary Note 3) for regime I and from the orbiting equation (Eq. 7b) for regime II (see details in Supplementary Note 5). The black curve shows the theoretical force, obtained from generalized Lorentz Mie theory (Supplementary Note 2). A single scaling parameter has been used (Supplementary Note 5)

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