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Transmission and resonance of a single rectangular hole filled with anisotropic material

This work presents, for the first time, a general theoretical framework of the transmission and resonance of a single rectangular hole filled with uniaxial anisotropic material. It has been shown that compared to the case that the aperture is filled with the isotropic material, the richer remarkably resonances can be obtained by using the aperture filled with the anisotropic material. More importantly, we demonstrate that the desired resonance behavior can be achieved by the dielectric and permeability tensors of filling material, besides the size of aperture, in a flexible way. Three special cases-positive, negative and extreme anisotropy, are studied to verify the proposed methodology.