Analyzing multilayer left-handed metamaterial optical waveguide structure with a localized arbitrary kerr-type nonlinear guiding film

We propose a general method for analyzing a multilayer left-handed metamaterial (LHM) optical waveguide structure with a localized arbitrary Kerr-type nonlinear guiding film. To the best of our knowledge, the proposed method has not been reported before. The available electromagnetic simulation software like cannot be used to analyze the case of the proposed multilayer photonic metamaterial slab optical waveguide structures with a localized arbitrary Kerr-type nonlinear guiding film. It gives detailed modal analyses of TE-polarized waves in the proposed photonic metamaterial slab optical waveguide structures. The analytical results are accompanied by some numerical examples. The method can also be degenerated to analyze planar conventional optical waveguide structures with a localized arbitrary Kerr-type nonlinear guiding film. It can also help researchers to calculate the evolutions of TE waves propagating in the proposed waveguide structures. Based on this general method, the analysis and calculation of planar LHM multilayer slab optical waveguide structure with a localized arbitrary Kerr-type nonlinear guiding film and planar conventional multilayer slab optical waveguide structure with a localized arbitrary Kerr-type nonlinear guiding film can be achieved easily.