Analysis of two undulator radiation with low energy correction

In this paper, we discuss the theory of emission by relativistic electrons in a two-dimensional (2-D) undulator field. The analysis is based on the analytical evaluation of the Lienard-Wiechert potential with the help of generalized Bessel functions. We also discuss the modifications induced in the brightness by the inclusion of low energy corrections. Some features of the 2-D undulator are presented for a comparison with the results relevant to the brightness of both conventional and two-frequency undulators.