Achiral and Chiral Optical Force Within Topological Optical Lattices Generated with Plasmonic Metasurfaces and Tunable Incident Beam

Chiral nanoparticle separation and discrimination using radially polarized circular Airy vortex beams with orbital-induced spin angular momentum

“…Within the dipole approximation, the time-averaged optical force exerted on a dipole chiral particle is expressed as follows: 29,47,49–54,56,57 〈 F 〉 = F g + F r + F v + F c + F s + F f ,where the definitions and expressions of the force components are listed in Table 1. Note that 〈 U 〉 = −Re( α ee )| E | 2 /4 − Re( α mm )| B | 2 /4 + Im( α em ) Im( B · E *)/2 is the optical potential, C ext = C p + C m is the cross section related to electric dipole channel C p = k Im( α ee )/ ε 0 ε b and magnetic dipole channel C m = kμ 0 Im( α mm )/ μ b , describes the recoil force, 58 c is the speed of light in vacuum, 〈 S 〉 = Re( E × H *)/2 is the time-averaged Poynting vector, 〈 L p s 〉 = Re[ ε 0 ε b ( E × E *)/4 iω ] and 〈 L m s 〉 = Re[ μ 0 μ b ( H × H *)/4 iω ] are the time-averaged SAM densities, corresponding to the electric and magnetic parts, respectively.…”