Uniform asymptotic expansion of a class of generalized Bessel functions occurring in the study of fundamental scattering processes in intense laser fields

Publisher Website
Google Scholar
Abstract
Using the method of Bleistein and of Ursell, a uniform asymptotic expansion for an important class of so-called generalized Bessel functions is derived, which permits a fast and efficient evaluation of these functions in the interesting domain of large values of their parameters where conventional methods fail. With the help of this asymptotic representation, a whole number of cross sections that have been given in the literature in terms of generalized Bessel functions for a variety of fundamental scattering processes in intense linearly polarized plane-wave laser fields can now be converted into actual numbers, thus permitting a quantitative assessment of the investigated effects at a given intensity of the applied laser field.

This publication has 9 references indexed in Scilit: