Abstract
A simple solution for a multilayer metallic optical waveguide by transforming it into an equivalent three-layer slab waveguide is presented. The dispersion relation of the equivalent three-layer slab waveguide is solved by using a simple iterative formula. This method itself is exact and can approach any accuracy desired. Moreover, the numerical results for four-layer and five-layer structures show that the second-order solution is also accurate enough. It is simple and has the same form of expressions for TE and TM modes and for different layer structures.
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