ABSTRACT
This chapter proposes a linear combination of the Bessel modes with the coefficients such that the series can be calculated and equals a Bessel function with complex argument. All the zeros (except for the axial one) generate optical vortices with unit topological charge and opposite sign on opposite sides of 0. The chapter analyzes a three-parameter family of diffraction-free nonparaxial asymmetric elegant Bessel modes, which is described by the integer-order Bessel functions of the first kind with complex argument. It describes a linear combination of Bessel-Gauss (BG) beams that by a Bessel function with complex argument. The resultant asymmetric BG (aBG) beam is shown to have in the initial plane a countable number of optical nulls located on the x-axis. The experiment was conducted using a phase spatial light modulator PLUTO VIS. The light from a solid-state laser of wavelength 532 nm was expanded by a collimator and passed through an 8-mm diaphragm.
