Why are inductively coupled RFID systems put in certain frequency bands when there are no EM waves used?
All electromagnetic stuff can be described using the four Maxwell equations:

$$\begin{align}
\nabla\cdot \textbf D &amp;= \rho_V\\
\nabla\cdot \textbf B &amp;= 0\\
\nabla \times \textbf E &amp;= -\frac{\partial \textbf B}{\partial t} \\
\nabla \times \textbf H &amp;= \frac{\partial \textbf D}{\partial t} + \textbf J
\end{align}$$

The 3rd equation will tell you that a changing magnetic field will always be accompanied by an electric field. The 4th equation says that a moving electric field will always coexist with a magnetic field in free space. The two together mean radiation, and you can't pull them apart.

So there isn't really such a thing as "magnetic waves", only electromagnetic waves.