Active, reactive and instantaneous optical forces on small particles in the time domain: Ultrafast attosecond subcycle pulses

Recently discovered reactive optical forces have nule time-average of their instantaneous values on monochromatic illumination, so that their detection suggests the use of ultrafast optics, specially in the femto and attosecond domains. By using illumination with subcycle attosecond evanescent pulses, we report a theoretical study of the time variations of reactive forces versus those of active and instantaneous ones on small resonant particles that we consider dipolar; and show their corresponding pushing or pulling effects. We address illumination with subcycle attosecond pulses; \rr and demonstrate three remarkable novel effects on electric dipoles; namely, a lateral force, a pulling force against the canonical and Poynting momenta of the wavefield, and a levitating effect on the particle under repetition of the pulse. We expect that this study inaugurates a novel research in the area of optical manipulation. Future developments and experiments based on this theory should increase the insight and operation of the ultrafast dynamics of nanostructures