Analytical analysis of inhomogeneous and anisotropic metamaterial cylindrical waveguides using transformation matrix method

Several applications of a cylindrical waveguide filled with inhomogeneous materials have been demonstrated. Analytical solutions for modes, an inhomogeneous cylindrical waveguide, are available only for a few material parameters and those are also mostly approximations. We have obtained exact analytical solutions for cylindrical waveguides filled with different inhomogeneous and anisotropic material parameters. Different sets of material parameters are obtained using the geometric transformation method. The analytical and numerical modal field distributions, the value of cutoff frequencies and effective mode indices for different propagating modes are well matched to each other. The inhomogeneity can be used to miniaturize the radial dimensions of the waveguide. This is highly desirable for many applications like sensing, near-field coupling and magnetic resonance imaging (MRI).

Automated summary

This article demonstrates the applications and analytical solutions of a cylindrical waveguide filled with inhomogeneous materials. By using the geometric transformation method, different sets of material parameters were obtained. The results show that the analytical and numerical solutions are in good agreement in terms of modal field distributions, cutoff frequencies, and effective mode indices. Additionally, the inhomogeneity can be utilized to reduce the radial dimensions of the waveguide, making it highly desirable for various applications such as sensing, near-field coupling, and MRI.