Vibrating objects exchange energy based on their physical shape rather than how fast they are moving.
Standard physics says that two things with similar frequencies will naturally resonate and swap energy. Real-space imaging of mechanical resonators shows that spatial symmetry is actually the dominant gatekeeper. Energy is routed between modes only if their shapes match specific rules, regardless of their frequency. This challenges the basic intuition used to design everything from bridges to electronics. Understanding this shape-first rule allows for much better control over how heat and sound move through materials.
Real-space imaging reveals symmetry-selected nonlinear energy routing in a mechanical resonator
arXiv · 2605.01469
Nonlinear energy exchange between vibrational modes underlies phenomena ranging from internal resonance to wave mixing, yet modal interactions are typically inferred from frequency-domain signatures rather than directly observed in space. Here, we present real-space imaging of nonlinear modal energy routing in a near-mirror-symmetric microelectromechanical resonator using phase-locked multi-harmonic stroboscopic interferometry. By reconstructing the spatial eigenmode content of individual harmon