International audienceThe Earth's magnetic field displays variations on a broad range of time scales from years to hundreds of millions of years. The last two decades of global and continuous satellite geomagnetic field monitoring have considerably enriched the knowledge on the rapid physical processes taking place in the Earth's outer core. Identification of axisymmetric torsional Alfvén waves with subdecadal periods from observatory and satellite data has given access to an averaged intensity of the magnetic field in the Earth's core interior. A significant part of the rapid signal, however, resides in non-axisymmetric motions. Their origin has remained elusive as previous studies of magnetohydrodynamic waves in the Earth's core mainly fo...