Topological Optical Field Manipulation via Double-Spiral Multi-Pinhole Arrays

Abstract

Topological optical field manipulation, as a cutting-edge field in modern optical control, aims to break through the dimensional limitations of traditional optical field regulation through synergistic multidimensional parameter interactions. Addressing the limitations of existing multimode vortex field generation methods in terms of phase singularity controllability and dynamic reconfiguration capability, this study proposes a novel paradigm for topological optical field manipulation based on double-spiral multi-pinhole arrays. By constructing coaxial nested double-spiral array models containing both co-rotating and counter-rotating configurations, this research systematically investigates the coupled modulation mechanisms of inner and outer spiral rotation directions and topological charge differences on optical field amplitude and phase distributions. Through establishing an analytical model of double-spiral array phase modulation combined with numerical simulations, we reveal the dynamic evolution patterns of topological vortex fields modulated by spiral arrays. The study demonstrates that co-rotating double-spiral arrays generate high-order vortex beams with concentric ring intensity distributions through superimposed phase gradients, while counter-rotating configurations induce petal-like intensity patterns due to chiral inversion. Furthermore, we discover that the periodic variation of phase centers is governed by the smaller topological charge in the double-spiral system, with a quantitative mapping relationship existing between topological charge differences and petal numbers in intensity profiles. This work establishes a correlation model between spiral array parameters and optical topological properties, providing a theoretical framework for dynamically generating programmable multimode vortex beams, showing significant application potential in optical micromanipulation, high-dimensional quantum state preparation, and super-resolution imaging.