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    • 6.7: General Relationships for Unidirectional Waves
      https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_II_(Ellingson)/06%3A_Waveguides/6.07%3A_General_Relationships_for_Unidirectional_Waves
      \begin{align} \widetilde{E}_x &= \frac{-j}{k_{\rho}^2}\left( +k_z \frac{\partial \widetilde{E}_z}{\partial x} + \omega\mu \frac{\partial \widetilde{H}_z}{\partial y} \right) \label{m0222_eExu} \\ \wid...\begin{align} \widetilde{E}_x &= \frac{-j}{k_{\rho}^2}\left( +k_z \frac{\partial \widetilde{E}_z}{\partial x} + \omega\mu \frac{\partial \widetilde{H}_z}{\partial y} \right) \label{m0222_eExu} \\ \widetilde{E}_y &= \frac{+j}{k_{\rho}^2}\left( -k_z \frac{\partial \widetilde{E}_z}{\partial y} + \omega\mu \frac{\partial \widetilde{H}_z}{\partial x} \right) \label{m0222_eEyu} \\ \widetilde{H}_x &= \frac{+j}{k_{\rho}^2}\left( \omega\epsilon \frac{\partial \widetilde{E}_z}{\partial y} - k_z \frac{\pa…

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