Spin Hall Effect of Laguerre-Gaussian and Bessel-Gaussian Beams Superimposed with Linearly Polarized Beams

We investigate the spin angular momentum of a superposition of two vector light beams with rotational symmetry. One beam is cylindrically polarized and another is linearly polarized. Radial form of these beams can be arbitrary (Laguerre-Gaussian, Bessel-Gaussian, or some other). For such a superposition, an analytical expression is derived for the spin angular momentum and two its properties are obtained. At first, we found that altering the coefficients does not affect the form of the spin angular momentum distribution, while the intensity distribution is changed. At second, we found that maximal spin angular momentum is generated if both beams are of equal power.