Breakdown waves propagating in the opposite direction of the applied electric field force are referred to as antiforce waves. Breakdown waves moving into a pre-ionized medium are referred to as Class II waves. Using a one-dimensional, steady state, three-fluid, hydrodynamical model and considering the electrons as the main element in propagation of ionizing waves, we have derived the proper boundary conditions for antiforce waves moving into a preionized medium. Using the new boundary conditions and for several current values ahead of the wave, the set of electron fluid dynamical equations (equations of conservation of mass, momentum, and energy coupled with Poison's equation) has been integrated through the dynamical transition region. The solutions meet the expected boundary conditions at the end of the wave. The electron velocity and electric field values conform to the physical conditions at the end of the dynamical transition region. For several current values ahead of the wave, the wave profile for electric field, electron velocity, electron temperature, and electron number density will be presented.
Roberts, Rory and Hemmati, Mostafa
"Wave Profile for Antiforce Class II Waves,"
Journal of the Arkansas Academy of Science: Vol. 54
, Article 18.
Available at: http://scholarworks.uark.edu/jaas/vol54/iss1/18