Metamaterials

The metamaterial design space is enormous — unit cell geometry, topology, and constituent material choices create effectively infinite combinations, yet the relationship between microstructure and emergent properties like negative refractive index, acoustic bandgaps, and auxetic behavior is highly nonlinear. Current approaches are limited to parameterized families of known unit cell designs, leaving vast regions of topology space unexplored where exotic property combinations may be achievable.

Topology optimization produces high-performing designs but is computationally expensive and typically optimizes for single physics objectives. ML surrogates interpolate within known metamaterial families but cannot extrapolate to genuinely novel topologies, and inverse design methods struggle with multi-physics co-optimization where electromagnetic, acoustic, and mechanical responses must be controlled simultaneously.