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The propagation characteristics of magneto-quasistatic waves, more commonly,known as magnetostatic waves in a long, metallic rectangular waveguide filledwith a metamaterial slab are comprehensively investigated. The metamaterialslab consists of split-ring resonators as an anisotropic uniaxial medium withtransversal negative effective permeability. Some analytical relations andnumerical validations on the characteristics of these waves are presented. Theresults include the dispersion relations, mode patterns (field distributions)that can be supported by such media and their corresponding cutoff frequencies,group velocities, power flows, and storage energies of magnetostatic waves. Thefindings from the present research study can be advantageous to advance thesynthesis and development of negative permeability materials with peculiarfeatures in guiding structures.

Magnetostatic waves in metallic rectangular waveguides filled with uniaxial negative permeability media