Abstract
Traditional superoscillation focusing (SOF) typically requires complex optimization of the incident light field. These complexities may limit the practical application of superoscillation. High-order radially polarized Laguer re-Gaussian beams inherently support SOF due to their multi-ring amplitude distribution and 0-pi phase alternation, which align with the necessary destructive interference mechanisms. In this study, we demonstrate that by adjusting the beam's mode order together with the incident beam size, we can easily control the full width at half maximum, field of view, and energy distribution of SOF. Moreover, high-order azimuthally polarized vortex-phase Laguer re-Gaussian beams can also achieve SOF, offering even better super-resolution effects. The distinct focusing behaviors of their circular components present unique opportunities for applications involving circular dichroism materials. (c) 2025 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement