Tightly focusing metalens based on the high order Bessel function.

We propose a new, to the best of our knowledge, type of metalens of which the phase profile is extracted from the higher-order Bessel function. A light beam passing through this metalens would focus along the circular trajectory and produces a tightly focusing field. Utilizing phase binarization, we provide a method to design the geometric-phase dielectric metasurface both for phase and polarization modulations. We demonstrate two metalenses for circularly and radially polarized output beams at 633 nm, with the measured 0.737λ and 0.616λ focal spots, respectively. Theoretically, it can realize a super-diffraction-limit spot (0.38λ). This work can extend the way of realizing tightly focused optical devices.