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Updated: Jan 11, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Relative enhancement of on-axis energy backflow in the focused fields via higher-order Laguerre- Gaussian beams
Abstract:
We propose a facile method for enhancing on-axis energy backflow relative to forward energy flow in the focused fields. By employing higher-order Laguerre-Gaussian (LG) complex amplitude profiles for left-handed circularly polarized vortex beams, we numerically demonstrate the proposed method. It is shown that for incident LG beams with a beam size parameter β4σ⩾1, the ratio of the peak absolute values of the Poynting vector for backward and forward energy flow increases with the radial index p of LG beam and the numerical aperture (NA) of the aplanatic lens. More remarkably, the area of on-axis energy backflow is simultaneously found to be more elongated for larger values of p. Besides, we further show the relative enhancement of on-axis energy backflow in the focal fields of second-order radially polarized LG beams with higher values of p. A similar enhancement effect is actually applicable to other light beams. These results hold potential applications in optical manipulation and sorting.
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