Theory of harmonic generation in a plasma produced by the photoionization of gas atoms with electrons in the np states

Abstract

For a plasma produced by the photoionization of hydrogen-like atoms with electrons in the np states, a theory is developed that describes the nonlinear plasma polarizability due to electron-ion collisions, which governs the bremsstrahlung-induced coherent harmonic generation. The effective partial collision frequencies are obtained as functions of the pump field intensity for the first four p states of hydrogen-like atoms and for the third, fifth, seventh, ninth, and eleventh harmonics. These analytic results make it possible to establish the scalings of the collision frequencies with pump field intensity, the principal quantum number, and the number of the generated harmonic. In the case of pump fields of comparatively low intensities, some qualitative differences are revealed between these scalings and the corresponding scalings obtained for the Bethe regime of suppression of the photoionization barrier in a gas of hydrogen-like atoms with electrons in the ns states.