EPJ Appl. Metamat. 9, 16 (2022)
https://doi.org/10.1051/epjam/2022012

Research Article

Bandwidth bounds for wide-field-of-view dispersion-engineered achromatic metalenses

School of Electrical and Computer Engineering, Cornell University, Ithaca, NY 14853, USA

^* e-mail: kks75@cornell.edu

Received: 22 November 2021
Accepted: 19 April 2022
Published online: 19 July 2022

Abstract

Optical systems with wide field-of-views (FOV) are crucial for many applications such as high performance imaging, optical projection, augmented/virtual reality, and miniaturized medical imaging tools. Typically, aberration-free imaging with a wide FOV is achieved by stacking multiple refractive lenses (as in a “fisheye” lens), adding to the size and weight of the optical system. Single metalenses designed to have a wide FOV have the potential to replace these bulky imaging systems and, moreover, they may be dispersion engineered for spectrally broadband operation. In this paper, we derive a fundamental bound on the spectral bandwidth of dispersion-engineered wide-FOV achromatic metalenses. We show that for metalenses with a relatively large numerical aperture (NA), there is a tradeoff between the maximum achievable bandwidth and the FOV; interestingly, however, the bandwidth reduction saturates beyond a certain FOV that depends on the NA of the metalens. These findings may provide important information and insights for the design of future wide-FOV achromatic flat lenses.