Fractional-order-Bessel Fourier-invariant vortices

A new set of vortex rotationally symmetric Bessel beams is investigated, which are Fourier-invariant and have low sidelobes, in contrast to all the other known Bessel beams. Complex amplitudes in the source plane and in the far field are obtained analytically. These beams are of finite energy (and thus physically realizable for the topological charge exceeding 4), but they do not have the Gaussian envelope. In the initial plane and in the Fraunhofer diffraction area, their complex amplitude is proportional to the Bessel function of a fractional order (odd integer number divided by 6), although the vortex itself is of an integer order. Compared to the zero-radial-index Laguerre?Gaussian modes, such beams have smaller inner dark spot. Such beams can be generated by a spatial light modulator and applied in data transmission, interferometry, trapping of metallic particles.

Automated summary

The new set of vortex rotationally symmetric Bessel beams are characterized by low sidelobes, Fourier-invariance, and finite energy, making them suitable for applications in data transmission, interferometry, and trapping of metallic particles.