Enhancing gradient force over scattering force for nano-trapping through compensating for aberration

Abstract

One challenge of optical trapping of nanoparticles is the weak trapping force compared to the destabilizing pushing force. Here we enhance the optical gradient force (GF), which is responsible for trapping, to achieve stable nanoparticle trapping through aberration compensation. The optical forces are calculated using multipole expansion theory and the focused fields are determined using Debye focusing theory accounting for interface aberrations between oil, glass, and water. With typical oil immersion objectives, the glass-water interface aberration reduces the GF relative to the scattering force (SF), leading to unstable trapping. By optimizing the refractive index of the immersion oil, the interface aberrations can be compensated. This significantly enhances the GF while moderately improves the SF, enabling stable nanoparticle trapping. The enhancements are particularly notable for large probe depths. Further improvement can be achieved with a thicker oil layer. With optimized conditions, the GF exceeds the SF by over two-fold. And the minimum axial force and axial stiffness increased approximately three-fold. Our study provides theoretical guidance to improve nanoparticle trapping efficiency through aberration compensation and force optimization.