Ball lightning as a radiation bubble

Summary A model for ball lightning is presented and its properties discussed. The model is that of a microwave radiation field contained within a plasma dielectric sphere, resonant at a frequency much greater than the electron-molecule collision frequency. Calculations are made of the energy stored in the microwave field, the electron temperature, the rate of energy loss due to ionization, and the effects of recombination. It is concluded (a) that a self-consistent set of conditions can be obtained only when the neutral density within the sphere is much lower than atmospheric, and (b) that the microwave field strength required is of the order of 10⁹V/m. Under these conditions the radiation pressure becomes comparable to that of the atmosphere; the second case investigated is when these two become equal. It is then found that this radiation bubble appears to satisfy the requirements imposed on energy storage and dissipation, recombination and resonant frequency. The electron density in such a bubble is found to be typically 10¹¹ cm^–3 and the stored energy typically 10³ Joules. A discussion is given of some of the problems associated with the model-formation, stability, neutral number density, and the problem of hydrostatic equilibrium.