Generation of the Airy beam based on the truncated asymptotic expression of the Airy function using a transmissive metasurface

Abstract

This paper proposes a phase-only modulation method to improve the main lobe's efficiency of the Airy beam based on the truncated asymptotic expression of the Airy function. As the truncated asymptotic expression can greatly reduce the range of amplitude modulation, it can be applied to the equal-amplitude modulation method with less amplitude error, which simplifies the design difficulty of the device and improves the beam's efficiency. A transmissive metasurface with a relative bandwidth of 10% is further adapted to generate the Airy beam with characteristics of non-diffraction, self-bending, and high-efficiency, which benefits the practical application of the Airy beam.