We study the behavior of Airy beams propagating from a nonlinear medium to a linear medium. We show that an Airy beam initially driven by a self-defocusing nonlinearity experiences anomalous diffraction and can maintain its shape in subsequent propagation, but its intensity pattern and acceleration cannot persist when driven by a self-focusing nonlinearity. The unusual behavior of Airy beams is examined from their energy flow as well as the Brillouin zone spectrum of self-induced chirped photonic lattices.
© 2010 Optical Society of America
Original Manuscript: September 8, 2010
Revised Manuscript: October 7, 2010
Manuscript Accepted: October 19, 2010
Published: November 23, 2010
Yi Hu, Simon Huang, Peng Zhang, Cibo Lou, Jingjun Xu, and Zhigang Chen, "Persistence and breakdown of Airy beams driven by an initial nonlinearity," Opt. Lett. 35, 3952-3954 (2010)