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Hyperbolic wave attractors
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DOI：10.1038/s41567-026-03453-7.png)
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Abstract
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Wave behaviour in irregular cavities is typically dominated by chaos, whose diverging trajectories are highly sensitive to initial conditions due to complex internal reflections, and this limits control and stability. Here we show that odd-shaped cavities formed in hyperbolic media suppress chaotic wave dynamics and instead give rise to hyperbolic wave attractors: robust, chiral, broadband and scale-invariant states that organize wave motion analogously to limit cycles in nonlinear dynamical systems. Their defining properties differ from both conventional resonant cavities and chaotic modes. We experimentally demonstrate this phenomenon using elastodynamic waves in a hyperbolic metamaterial and reveal attractor phase transitions, symmetry-driven features and robustness against defects. These results show that wave-attractor physics extends across natural and artificial hyperbolic media and reveal how simultaneous symmetry breaking in the material and cavity geometry produces robust, chiral wave organization in a fully linear system. This work opens possibilities for compact, multifunctional devices in wave-based signal processing and sensing systems by merging functionalities traditionally associated with large, wavelength-scale structures with those of deeply subwavelength cavities. Wave propagation in irregular cavities made from conventional isotropic media is typically chaotic. Now odd-shaped cavities made from hyperbolic metamaterials are shown to suppress chaotic wave dynamics and produce stable geometric wave patterns.
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Experimental realization of three-dimensional indefinite cavities at the nanoscale with anomalous scaling laws.png)
NATURE PHOTONICS
NATURE PHOTONICSIF32.9
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