I am studying the multipole expansion of electromagnetic wave radiation pattern, and it is said that any fields can be decomposed into the spherical harmonics $Y_{lm}$.
However, for $l=1$, which corresponds to a dipole, the spherical harmonics looks like a dumbbell, as shown in the attached picture, but we know that an electric dipole should have a doughnut shape radiation pattern, I don't understand why they don't match, is there any relationship between them?
$$
\begin{array}{cc}
\left(\textbf{A}\right)~\text{spherical harmonics} & \left(\textbf{B}\right)~\text{dipole radiation pattern} \\
\hspace{300px} & \hspace{300px}
\end{array}
$$