Generation of Bessel light beams frequency doubling in quadratic nonlinear crystals with radial structure of the domain polarized

In the paper the scheme of the second harmonic generation of Bessel light beams in quadratic nonlinear crystals with radial periodic structure of domains is described. Nonlinear polarization at the fundamental and double frequencies is calculated and spatial structure of interacting fields is founded. The overlap integrals that characterize the efficiency of the frequency doubling of Bessel light beams of arbitrary order are numerically investigated.