Abstract
Abstract A study of the far-field pattern obtained from ordered arrays of N×M point-vortices with equal unitary topological charge embedded in carrier beams with different geometry is presented. Particularly, we investigate the impact of a geometric anisotropy on the diffraction process by using an elliptic Gaussian beam as a host and a rectangular vortex lattice, either with square or rectangular unit cell. The far-field distribution is analyzed as a function of different control parameters, such as the aspect ratio of the carrier beam, the inter-vortex separation and the number of vortices in the different directions. The illumination by a circular Gaussian beam and a plane wave diffracted by a rectangular aperture are also analyzed in comparison. We identify a geometrical parameter characterizing the size of the array with respect to the size of the carrier, which ultimately determines the final distribution of the vortices. The numerical results are verified with experiments, finding an excellent agreement.
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