Propagation and far-field analysis of ordered arrays of point vortices under different illumination conditions

Karen P. Volke-Sepúlveda; Gabriel Mellado-Villaseñor; Argelia Balbuena Ortega

doi:10.1117/12.3005195

13 March 2024 Propagation and far-field analysis of ordered arrays of point vortices under different illumination conditions

Karen P. Volke-Sepúlveda, Gabriel Mellado-Villaseñor, Argelia Balbuena Ortega

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Proceedings Volume PC12901, Complex Light and Optical Forces XVIII; PC129010U (2024) https://doi.org/10.1117/12.3005195
Event: SPIE OPTO, 2024, San Francisco, California, United States

Abstract

We study the far-field patterns and the near-field evolution in free space of arrays of N x M point-vortices with equal unitary topological charge embedded in carrier beams with different geometries as a function of different control parameters. Particularly, we analyze the case of elliptical Gaussian beams with different eccentricity and a plane wave diffracted by a rectangular aperture. We identify a geometrical parameter characterizing the size of the lattice with respect to the size of the carrier in each direction, which ultimately determines the far-field pattern and the final configuration of the vortices, which exhibits structure transitions under some conditions. In the near field, we find an expression for the rotation angle of the whole structure, while preserved, as a function of the propagation distance, which depends on the separation distance between adjacent vortices in each direction. Our numerical results are verified with experiments, showing an excellent agreement.

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Citation Download Citation

Karen P. Volke-Sepúlveda, Gabriel Mellado-Villaseñor, and Argelia Balbuena Ortega "Propagation and far-field analysis of ordered arrays of point vortices under different illumination conditions", Proc. SPIE PC12901, Complex Light and Optical Forces XVIII, PC129010U (13 March 2024); https://doi.org/10.1117/12.3005195

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KEYWORDS

Light sources and illumination

Near field

Beam analyzers

Diffraction

Free space

Gaussian beams

Plane waves

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