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We generate a large coherent laser array imbued with topological charge by addressing the phase retrieval problem to reconstruct the desired phase distribution from its corresponding Fourier intensity pattern. By employing the many modes in a degenerate laser cavity as a parallelised solver and by limiting its finite domain to lift the degeneracy between the competing phase distributions, an optimum solution with tailored multi-singularities is found. We implement the required constraints within the cavity using binary amplitude masks as opposed to sophisticated phase devices, paving the way as a simple technique to generate large structured vortex arrays at the source.
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Michael De Oliveira, Marco Piccardo, Eliana Rondanina, Andrea Toma, Antonio Ambrosio, "900 coupled vortex lasers generated as a solution to the phase retrieval problem," Proc. SPIE PC11987, Laser Resonators, Microresonators, and Beam Control XXIV, PC119870J (1 April 2022); https://doi.org/10.1117/12.2607784