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

TL;DR

This paper investigates magnetostatic wave propagation in metallic rectangular waveguides filled with uniaxial negative permeability metamaterials, providing analytical and numerical insights into their dispersion, modes, and energy characteristics.

Contribution

It offers new analytical relations and numerical validations for magnetostatic waves in uniaxial negative permeability media within waveguides, advancing understanding of their propagation features.

Findings

Dispersion relations for magnetostatic waves derived

Mode patterns and cutoff frequencies characterized

Group velocities and power flows analyzed

Abstract

The propagation characteristics of magneto-quasistatic waves, more commonly, known as magnetostatic waves in a long, metallic rectangular waveguide filled with a metamaterial slab are comprehensively investigated. The metamaterial slab consists of split-ring resonators as an anisotropic uniaxial medium with transversal negative effective permeability. Some analytical relations and numerical validations on the characteristics of these waves are presented. The results 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. The findings from the present research study can be advantageous to advance the synthesis and development of negative permeability materials with peculiar features in guiding structures.