Generation of harmonics treated by a new integral equation method

Abstract

We derive a new integral equation for the nonperturbative evaluation of transition matrix elements of multiphoton processes at high laser field intensities. Our approach to the problem is partly based on the use of the Kramers–Henneberger transformation. As a specific example, we apply our method to the generation of harmonics by an electron in a short range potential, supporting a single bound state. We evaluate the rates R2m+1 for the odd harmonics created in this process for a set of specifically chosen parameters and we compare our results with presently available experimental data.