We investigate light-beam propagation along the interface between linear and nonlinear media with parity–time symmetry. A novel class of two-dimensional localized surface modes (LSMs) is found analytically and numerically. If the potential is parity–time invariant along the direction parallel to the interface between the two media, stable LSMs can exist. Otherwise, if the potential is parity–time invariant along the direction perpendicular to the interface between the two media, there are no stable LSMs.
© 2014 Optical Society of America
Original Manuscript: June 25, 2014
Revised Manuscript: July 28, 2014
Manuscript Accepted: July 29, 2014
Published: August 26, 2014
Huagang Li, Zhiwei Shi, Xiujuan Jiang, Xing Zhu, Tianshu Lai, and Chaohong Lee, "Localized surface modes in parity–time-symmetric potentials," Opt. Lett. 39, 5154-5157 (2014)