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ANSOFT, Version 10.1.3, Copyright (C), 1984–2006 Ansoft Corporation.

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It should be noted that the initial HFSS model utilized radiation boundaries instead of the perfectly matched layers. However, such a model resulted in inconsistent results, in particular with varying side length w, despite the fact that the distance from the perfectly matched layers to the polygonal cylinders and the ELC was larger than λ0/4 as suggested by HFSS, and despite improved discretization along the radiation boundaries. This problem was alleviated by use of perfectly matched layers for which the default discretization options were sufficient to obtain consistent and convergent results.

It is important to note that the delta energy, ∆E, which is the difference in the relative energy error from one adaptive solution to the next, and serves as a stopping criterion for the solution, was set to 0.01 in all cases. This value of ∆E was targeted and obtained in 3 consecutive adaptive solutions for the 48-, 24-, 12-, and 8-sided PCs, and in 2 consecutive adaptive solutions for the 4-sided PCs.

For the 4-sided PC, the MNG shell in the non-dispersive model is described by permeability μ2=−4μ0 and a loss tangent of 0.001 for all frequencies.