The dispersion equation of magnetoinductive waveguides (MIWs) is traditionally solved directly for the propagation constant ( $\gamma $ ) to obtain diagrams for the attenuation ( $\alpha $ ) and phase ( $\beta $ ) constants vs. angular frequency ( $\omega $ ). Here. we introduce an indirect method of solving the equation. https://www.rivervalleydanceac.com/product-category/framed-entertainment-photos/