Abstract

The electrostatic (or, in a better word, quasi-electrostatic) theory of waves propagation in a long, rectangular waveguide having perfect electric conductor walls that filled with an anisotropic medium (here, a medium of nanowire-based hyperbolic metamaterials) is presented. Some data on characteristics of these waves are prepared. The presented results include electrostatic field configurations (modes) that can be supported by such structures and their corresponding cutoff frequencies, group velocities, power flows and storage energies.

Highlights

  • The electrostatic (or, in a better word, quasi-electrostatic) theory of waves propagation in a long, rectangular waveguide having perfect electric conductor walls that filled with an anisotropic medium (here, a medium of nanowire-based hyperbolic metamaterials) is presented

  • The electrostatic theory of waves propagation in a long, rectangular waveguide having perfect electric conductor walls that filled with an anisotropic medium is presented

  • We present the electrostatic theory of waves propagation in a long, rectangular waveguide containing an anisotropic medium, here a medium of nanowire-based hyperbolic metamaterials (HMMs)

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Summary

Introduction

The electrostatic (or, in a better word, quasi-electrostatic) theory of waves propagation in a long, rectangular waveguide having perfect electric conductor walls that filled with an anisotropic medium (here, a medium of nanowire-based hyperbolic metamaterials) is presented. A hollow waveguide cannot support electrostatic modes, but when it is filled with an anisotropic medium the existence of electrostatic waves may be possible. We present the electrostatic theory of waves propagation in a long, rectangular waveguide containing an anisotropic medium, here a medium of nanowire-based HMMs. The results derived by employing electrostatic theory, indicates the velocity of light in free space must be much more than phase ­velocity27.

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