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Efficient Analytical Evaluation of Complex Dispersion Relations of a Multiple-Row Periodic Array of Magnetodielectric Circular Cylinders

An analytical mode-matching method based on the common area concept and mixed coordinate formulations is proposed for a multiple-row periodic array of magnetodielectric circular cylinders (PAMCs). Complex dispersion relations for single- and double-row PAMCs are computed with Davidenko’s method and tested using commercial electromagnetic (EM) analysis packages, thus verifying that our solutions are very accurate and numerically efficient. The EM bandgap formations of a single-row PAMC are presented with respect to different cylinder spacing. We also observe that a resonance gap, which results in a sharp band-stop phenomenon, can appear in a double-row PAMC with high-permittivity cylinders.