In this paper we investigate analytically the localized surface waves (SWs) based on the first integral of the nonlinear Helmholtz wave equation in a semi-infinite one-dimensional photonic crystal (1DPC) truncated with a self-defocusing nonlinear cap layer of a left-handed material (LHM). The intensity-dependent properties of nonlinear SWs at the interface between air background and 1DPC are of two types: conventional photonic crystal (PC) and left-handed PC (made of alternate LHM and right-handed material) ones. It is shown that there are unusual SWs with different peculiarities for these two types of PC. To confirm our results, we also compared the results obtained by this method and the alternative method based on δ-function, for the structure with a very thin nonlinear cap layer.
© 2010 Optical Society of America
Original Manuscript: April 20, 2010
Revised Manuscript: July 13, 2010
Manuscript Accepted: July 28, 2010
Published: September 23, 2010
Z. Eyni, A. Namdar, S. Roshan Entezar, and H. Tajalli, "Dispersion properties of nonlinear surface waves in one-dimensional photonic crystals with a nonlinear self-defocusing cap layer of left-handed metamaterial," J. Opt. Soc. Am. B 27, 2116-2121 (2010)