Fourier-Bessel beams of finite energy

In this paper, we consider a new type of Bessel beams having Fourier-invariance property and, therefore, called Fourier-Bessel beams. contrast to the known beams, these have weak side lobes. Analytical expressions for complex amplitude proposed field in initial plane source and far region been obtained. It is shown that finite energy, although they do not Gaussian envelope. Their proportional fractional-order function (an odd integer divided by 6) Fraunhofer zone. The modes smaller internal dark spot compared Laguerre-Gauss with zero radial index. can be generated spatial light modulator may find uses telecommunications, interferometry, capture metal microparticles.