Authors: Xu Chen, Jose E. Schutt-Ain ´ e, and Andreas C. Cangellaris
Source: FERMAT,Volume 13,Jan-feb,2016
Abstract: The analysis of rectangular PEC-wall waveguides is a classical boundary value problem with well-known analytical solutions. The modal cutoff frequencies and dispersion characteristics of any waveguide geometry can be easily computed using the Finite Element Method. This paper focuses on the analysis of rectangular waveguides with geometric uncertainties. By leveraging coordinate transformation and stochastic collocation, the statistics of the waveguide characteristics can be quickly derived without the need to perform lengthy Monte Carlo analysis. Results are verified against analytical and Monte Carlo solutions.
Index Terms: —Stochastic, waveguide, finite element, stochastic collocation, geometric uncertainty
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Finite Element Analysis of Rectangular Waveguide with Stochastic Geometric Variations