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Acoustic Pancharatnam–Berry geometric phase for structured sound manipulation

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Proceedings of the National Academy of Sciences, Volume 123, Issue 11, March 2026. <br/>SignificanceWave propagation depends critically on phase. The Pancharatnam–Berry (PB) phase has revolutionized nanophotonics by enabling metasurfaces, yet its existence in acoustics has remained elusive due to the longitudinal nature of airborne sound. We …

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