Controlled propagation and particle manipulation of off-axis-rotating elliptical Gaussian beams in strong nonlocal media

Off-axis-rotating elliptical Gaussian beams(Oare GB) oblique incidence in strong nonlocal medium exhibit novel propagation properties. The analytical expressions of semi-axial beam widths, and center-of-mass trajectory equations for transmitting off-axis-rotating elliptical Gaussian beams in strong nonlocal media are obtained using the ABCD transfer matrix method. The study revealed that the trajectory of the mass' s center in the cross-section can be controlled by changing the sizes of the Oare GB parameters c, d, ζ, and f. The gradient force of the light field causes the spot region to form a spatial potential well in the media, and this spatial potential well can effectively capture nanoparticles. The particles captured by the light field can move along with the beam, realizing the effective manipulation of the particle trajectory. These laws may be applied to modulating the propagation path of light beams and optical tweezer technology.