Numerical simulation is used to investigate the dynamics of formation of a
helium plasma in Bessel beams, shaped by an axicon and a phase converter fr
om a laser radiation pulse with Gaussian temporal and radial intensity prof
iles. The beam intensities at the breakdown threshold are determined asa fu
nction of the pulse duration for various radial field distributions in a be
am characterised by Bessel functions of order m (m = 0-5). It is shown that
in the investigated range of parameters the threshold intensity is indepen
dent of m. The temporal and spatial evolution of the resultant plasma, and
the dependence of the plasma characteristics on the pulse parameters are co
nsidered; Conditions are found for the formation of tabular plasma channels
in beams of orders m greater than or equal to 1. The adopted model of the
optical breakdown of helium is shown to be satisfactory because of a good a
greement between the results of calculations of the moment of breakdown in
a zeroth-order Bessel beam and experimental results.