Parametric excitation of high‐frequency electromagnetic waves by the lower‐frequency dipole pumping

The possibility of parametric excitation of high‐frequency electromagnetic waves by lower‐frequency dipole pumping is studied. It is shown that the obtained general dispersive equation may be reduced to the Mathieu equation, provided the case of the flux instability is neglected. In the framework of the developed approach, the excitation of magnetohydrodynamic waves and whistler oscillations is examined.