Progress In Electromagnetics Research M
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By L. Yuan and Y. M. Wu

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In this paper, an efficient mode reduction technique for eigenmode expansion method is developed to analyze 2-D waveguide grating structures which are a special class of piecewise uniform waveguides. To take advantage of the periodicity property of the structure, the eigenmode expansion method (EEM) is used with the scattering matrix method and a recursive-doubling procedure. In this situation, our proposed mode reduction technique achieves a significant speedup for gratings with large number of periods. Comprehensive numerical examples on the waveguide gratings are studied to validate the efficiency of our proposed mode reduction technique.

L. Yuan and Y. M. Wu, "An Efficient Mode Reduction Technique for Modeling of Waveguide Gratings," Progress In Electromagnetics Research M, Vol. 40, 1-8, 2014.

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