Abstract
In this paper, a general method for analyzing arbitrary planar negative-refractive-index (NRI) multilayer slab optical waveguide structures was proposed. Some degenerated examples were introduced to prove the accuracy of the proposed method. The analytical and numerical results show excellent agreement. The method can also be degenerated to analyze arbitrary planar conventional optical waveguide structures. Based on this general method, the analysis and calculation of any kinds of planar NRI slab optical waveguide structures and planar conventional optical waveguide structures can be achieved easily.
Highlights
In this paper, a general method for analyzing arbitrary planar negative-refractive-index (NRI) multilayer slab optical waveguide structures was proposed
In our previous work[56], we proposed a special case of the NRI multilayer slab optical waveguide structures with only the Kerr-type nonlinear cladding
The numerical results show that when the guided power increases, the electric field distributions are gradually narrowed in the Kerr-type nonlinear NRI slab guiding films
Summary
A transfer matrix a pproach[57] can be used to analyze the conventional multilayer slab optical waveguide structures. It cannot be used to analyze the case of the NRI multilayer slab optical waveguide structure with all Kerr-type nonlinear layers, proposed in this manuscript. For the Kerr-type nonlinear medium, the square of the refractive index n2j in the nonlinear NRI slab guiding films, nonlinear interaction layer, nonlinear cladding, and nonlinear substrate can be expressed as[48]: n2j = εjμj + αj Ej(x) 2 , j = 0, 1, 2, . By matching the boundary conditions, the solutions of electric fields in the nonlinear NRI slab guiding films and the nonlinear interaction layers can be written as: Ej(x) = bjcn Aj x + xj mj , for j = 1, 2, 3, ..., N − 2, in the nonlinearNRIslabguidingfilmsandthenonlinear interactionlayers (9)
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