Abstract

Reflection and refraction of a finite-power Airy beam at the interface between two dielectric media are investigated analytically and numerically. The formulation takes into account the paraxial nature of the optical beams to derive convenient field evolution equations in coordinate frames moving along Snell’s refraction and reflection axes. Through numerical simulations, the self-accelerating dynamics of the Airy-like refracted and reflected beams are observed. Of special interest are the cases of critical incidence at Brewster and total-internal-reflection (TIR) angles. In the former case, we find that the reflected beam achieves self-healing, despite the severe suppression of a part of its spectrum, while, in the latter case, the beam remains nearly unaffected except for the Goos–Hänchen shift. The self-accelerating quality persists even if the beam is trapped by multiple TIRs inside a dielectric film. The grazing incidence of an Airy beam at the interface between two media with close refractive indices is also investigated, revealing that the interface can act as a filter depending on the beam scale and tilt. We finally consider reverse refraction and perfect imaging of an Airy beam into a left-handed medium.

©2012 Optical Society of America

Selective reflection of Airy beam at an interface between dielectric and homogeneous atomic medium

Yuan-yuan Li, Li Li, Yi-Xin Lu, Xiao-xia Zhao, Ke-wei Xu, Yi-qi Zhang, and Yan-peng Zhang
Opt. Express 21(7) 8311-8319 (2013)

Vector wave analysis of Airy beams upon reflection and refraction

Yuanfei Hui, Zhiwei Cui, Minhua Zhao, and Yiping Han
J. Opt. Soc. Am. A 37(9) 1480-1489 (2020)

Angular shift of an electromagnetic beam reflected by a planar dielectric interface

J. Navasquillo, V. Such, and F. Pomer
J. Opt. Soc. Am. A 6(10) 1522-1528 (1989)

Significant deformations and propagation variations of Laguerre-Gaussian beams reflected and transmitted at a dielectric interface

Hiroshi Okuda and Hiroyuki Sasada
J. Opt. Soc. Am. A 25(4) 881-890 (2008)

Reflection and transmission of beams at a curved interface

Y. Z. Ruan and L. B. Felsen
J. Opt. Soc. Am. A 3(4) 566-579 (1986)