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9.4: Radiation from a Hertzian Dipole
https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_II_(Ellingson)/09%3A_Radiation/9.04%3A_Radiation_from_a_Hertzian_Dipole
\begin{align} \hat{\bf z} &= \hat{\bf r}\left(\hat{\bf r}\cdot\hat{\bf z}\right) +\hat{\bf \theta}\left(\hat{\bf \theta}\cdot\hat{\bf z}\right) +\hat{\bf \phi}\left(\hat{\bf \phi}\cdot\hat{\bf z}\righ... $\begin{align} \hat{\bf z} &= \hat{\bf r}\left(\hat{\bf r}\cdot\hat{\bf z}\right) +\hat{\bf \theta}\left(\hat{\bf \theta}\cdot\hat{\bf z}\right) +\hat{\bf \phi}\left(\hat{\bf \phi}\cdot\hat{\bf z}\right) \\ &= \hat{\bf r}\cos\theta -\hat{\bf \theta}\sin\theta +0\end{align}$

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