$\mathrm{TM}-\mathrm{mode}$	$\mathrm{TE}-\mathrm{mode}$
$i\omega D_z{\epsilon }_{F_z}^{\ast }\left(x\right){\epsilon }_{F_z}^{\ast }\left(y\right)=C_0\left(\frac{\partial H_y}{\partial x}-\frac{\partial H_x}{\partial y}\right)$	$i\omega H_z{\mu }_{F_z}^{\ast }\left(x\right){\mu }_{F_z}^{\ast }\left(y\right)=C_0\left(\frac{\partial E_x}{\partial y}-\frac{\partial E_y}{\partial x}\right)$
$i\omega H_x{\mu }_{F_x}^{\ast }\left(x\right){\mu }_{F_x}^{\ast }\left(y\right)=-C_0\frac{\partial E_z}{\partial y}$	$i\omega D_x{\epsilon }_{F_x}^{\ast }\left(x\right){\epsilon }_{F_x}^{\ast }\left(y\right)=C_0\frac{\partial H_z}{\partial y}$
$i\omega H_y{\mu }_{F_y}^{\ast }\left(x\right){\mu }_{F_y}^{\ast }\left(y\right)=C_0\frac{\partial E_z}{\partial x}$	$i\omega D_y{\epsilon }_{F_y}^{\ast }\left(x\right){\epsilon }_{F_y}^{\ast }\left(y\right)=-C_0\frac{\partial H_z}{\partial x}$