Wave propagation through periodic waveguides: a numerical simulation method

An efficient numerical method for the analysis of periodic waveguides has been presented. The method is based on the collocation method which we have earlier developed for propagation of waves through uniform and nonuniform (e.g., tapers) waveguides. In this method, one converts the Helmholtz equation, which is a partial differential equation, into a set of total (ordinary) differential equations. In our method, the wave is to be propagated only through one period of the waveguide, after which analytical solutions for arbitrary lengths can be obtained. We have also presented an example to show the effectiveness of our method.

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