Exact analytical solution for the vector electromagnetic field of Gaussian, flattened Gaussian, and annular Gaussian laser modes

Analytic solution of flat-top Gaussian and Laguerre–Gaussian laser field components

“…For example, the radial emission of electrons from an intense laser beam requires such a treatment, as previously investigated by Cicchitelli et al [2] and Quesnel and Mora [3]. Generalization of the simple Gaussian shape of the beam in an aperture to radially symmetric field distributions was accomplished by Sepke and Umstadter in a series of publications that emphasized applications to flattened Gaussian modes, annular Gaussian modes, and tightly focused spot sizes ( [4] and references therein). Previous work on Laguerre-Gaussian beams and corrections to the paraxial approximation using the Felsen complex source approach has also been reported by Bandres and Gutiérrez-Vega [5] and Yan and Yao [6].…”

Discontinuities in the electromagnetic fields of vortex beams in the complex source-sink model

“…Experimentally, the highest laser intensities are obtained using tight focusing techniques, in which the laser spot size in the focal region is comparable to the laser field wavelength. Theoretical simulations of laser-matter interactions under such tight focusing conditions require a detailed description of the laser fields in the focal region that goes beyond the paraxial approximation [3][4][5][6][7][8][9].…”

Fields of an ultrashort tightly focused laser pulse

“…Here w 0 and z r are the waist radius at focus and the Rayleigh length, respectively. It was further shown that high-order corrections to the paraxial solution 33,34 can have non-negligible contributions for evaluations of direct laser acceleration of particles [35][36][37] .…”