I. Introduction
Microlenses and microlens arrays (MLAs) with diameters of a few to hundreds micrometers are widely used in micro-manufacturing, display and image sensing due to the enhancement light collimation and collection efficiency [1]–[4]. Fill factor and numerical aperture (NA) are two critical parameters that influence the optical performance of the MLAs. High-fill-factor MLAs will capture most incident lights to increase the signal-noise-ratio, and high-NA microlenses can generate high-resolution images. These characteristics are highly required in optical interconnects, bio-detection system, laser protection goggle, 2D optical data recording and projection systems [4], [5]. Close-packed high numerical aperture microlens arrays are continuously pursued.