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    • https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Book%3A_Applications_of_Maxwells_Equations_(Cochran_and_Heinrich)/12%3A_Waveguides/12.02%3A_Higher_Order_Modes
      \mathrm{E}_{\mathrm{z}}&=\left(\frac{i}{\epsilon \omega}\right)\left[\left(\frac{\mathrm{m} \pi}{\mathrm{a}}\right)^{2}+\left(\frac{\mathrm{n} \pi}{\mathrm{b}}\right)^{2}\right] \mathrm{A}_{0} \sin \l...\mathrm{E}_{\mathrm{z}}&=\left(\frac{i}{\epsilon \omega}\right)\left[\left(\frac{\mathrm{m} \pi}{\mathrm{a}}\right)^{2}+\left(\frac{\mathrm{n} \pi}{\mathrm{b}}\right)^{2}\right] \mathrm{A}_{0} \sin \left(\frac{\mathrm{m} \pi \mathrm{x}}{\mathrm{a}}\right) \sin \left(\frac{\mathrm{n} \pi \mathrm{y}}{\mathrm{b}}\right). \nonumber

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