Scalar modified Bessel-Gauss beams and waves

Abstract

For modified Bessel-Gauss beams, the modulating function for the Gaussian, instead of a Bessel function of real argument, is a Bessel function of imaginary argument. The modified Bessel-Gauss beams and their full wave generalizations are treated with particular attention to the spreading properties on propagation for the azimuthal mode numbers m=0 and m=1. The spreading on propagation of the peak and the null in the radiation pattern obtained in the propagation direction for m=0 and m=1, respectively, is substantially less for the modified Bessel-Gauss waves than that for the corresponding Bessel-Gauss waves. The total power transported by the waves is determined and compared with that of the corresponding paraxial beam to assess the quality of the paraxial beam approximation for the wave. The powers in the Bessel-Gauss wave and the modified Bessel-Gauss wave are finite in contrast to that in the Bessel wave. With respect to both the spreading properties and the quality of the paraxial beam approximation, the modified Bessel-Gauss beam is an improvement over the Bessel-Gauss beam.

Relativistic high-order harmonic generation by a femto-second radially polarized laser pulse irradiating a ring plasma grating

“…To prevent mixing of the LG laser field (especially the longitudinal field, whose maximum is at the axis center) with the harmonics field, the radially polarized modified Bessel-Gaussian beam is used. Its field is [28]…”

Representation theory for vector electromagnetic beams

“…The representation formalism and propagation characteristics of an electromagnetic beam in free space has drawn much attention [1][2][3][4][5][6][7][8][9][10][11][12] after the advent of masers and lasers [13][14][15].…”