Drawing Dispersion Curves: Band Structure Customization via Nonlocal Phononic Crystals
Arash Kazemi, Kshiteej J. Deshmukh, Fei Chen, Yunya Liu, Bolei Deng, Henry Fu, Pai Wang
Abstract
Dispersion relations govern wave behaviors, and tailoring them is a grand challenge in wave manipulation. We demonstrate the inverse design of phononic dispersion using nonlocal interactions on one-dimensional spring-mass chains. For both single-band and double-band cases, we can achieve any valid dispersion curves with analytical precision. We further employ our method to design phononic crystals with multiple ordinary (roton or maxon) and higher-order (undulation) critical points and investigate their wave packet dynamics.
Topics & Concepts
Dispersion (optics)Dispersion relationInversePhysicsAcoustic metamaterialsWave packetCondensed matter physicsElectronic band structureMaterials scienceBand gapOpticsQuantum mechanicsGeometryMathematicsAcoustic Wave Phenomena ResearchSpeech and Audio ProcessingUnderwater Acoustics Research