Dynamics of plasma formation at different power densities of laser radiation interacting with metallic targets

Abstract

The generalized Dawson integral F ( p . x ) is considered. Closed formulae are given for the nth derivatives with respect to the arguments x and p in terms of the function itself. A recursion relation is developed which m y be regarded as the (n+ 1)st-order differential equation satisfied by F ( p , x ) . It is shown that known results concerning Dawson's function are merely specific cases of the generalized Dawson equation. The application of the successive derivatives of F(2, x) in the context of the Voigt s p e c " line profiles is demonstrated,