Nonlinear wave propagation in a 1D photonic crystal containing single-negative layers is investigated using the multiple-scale method. In this approach, the electric field is decomposed into a slowly varying envelope function and a fast Bloch-like function to obtain the analytic expressions of the effective parameters of an equivalent medium. The periodic structure has an equivalent left-handed medium for the envelope function. Gap soliton formation is discussed and compared with that associated with the Bragg gap.
© 2013 Chinese Optics Letters
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(050.5298) Diffraction and gratings : Photonic crystals
(070.7345) Fourier optics and signal processing : Wave propagation
Diffraction and Gratings
Munazza Zulfiqar Ali, "Effective medium parameters for 1D photonic crystal containing single-negative material layers using the envelope function approach," Chin. Opt. Lett. 11, 040501- (2013)