Formation of an axial line with the reduced cross-section size for linear polarization of an illuminating beam by means of high-aperture binary axicons without axial symmetry

Using plane wave expansion method in Mansuripur modification with Fresnel transmission coefficients the opportunity of axial light string formation with the reduced cross-section size for linear polarization of an illuminating beam is shown for high-aperture binary axicons without axial symmetry. It is shown, that widening of the central light spot which inevitably arises at linear polarization of an illuminating beam in high-aperture systems can be compensated due to breaking of axial symmetry of an axicon. For this purpose the asymmetry allowing to redistribute the axial contribution various a component of an electric vector is used so that a longitudinal component had on an optical axis maximal value, and cross-section component - minimal. Various types of axicons are considered allowing to reach this purpose.