  Meta-optics has achieved major breakthroughs in the past decade; however,
conventional forward design faces challenges as functionality complexity and
device size scale up. Inverse design aims at optimizing meta-optics design but
has been currently limited by expensive brute-force numerical solvers to small
devices, which are also difficult to realize experimentally. Here, we present a
general inverse design framework for aperiodic large-scale complex meta-optics
in three dimensions, which alleviates computational cost for both simulation
and optimization via a fast-approximate solver and an adjoint method,
respectively. Our framework naturally accounts for fabrication constraints via
a surrogate model. In experiments, we demonstrate, for the first time,
aberration-corrected metalenses working in the visible with high numerical
aperture, poly-chromatic focusing, and large diameter up to centimeter scale.
Such large-scale meta-optics opens a new paradigm for applications, and we
demonstrate its potential for future virtual-reality platforms by using a
meta-eyepiece and a laser back-illuminated micro-Liquid Crystal Display.
