B.I.STEPANOV INSTITUTE OF PHYSICS OF THE NATIONAL ACADEMY OF SCIENCES OF BELARUS, Republic of Belarus

Using self-consistent Fourier analysis, a canonically conjugate relation for the spatial-momentum dispersions of experimentally measured transverse power densities over the entire focusing distance of a single-mode laser beam was obtained. It was established that the non-asymptotic region of the hyperbolic uncertainty relation for the standard deviations of the Fourier transforms of the laser beam power density in phase space is localized near the focal waist. In this case, dense photon packing will ensure high efficiency in the manifestation of quantum effects caused by the spin-orbit interaction of the internal dynamic structure of the laser beam.