Acoustic Topological Circuitry in Square and Rectangular Phononic Crystals
Nicolas Laforge, Richard Wiltshaw, Richard V. Craster, Vincent Laude, Julio Andrés Iglesias Martínez, Guillaume Dupont, Sébastien Guenneau, Muamer Kadic, Mehul P. Makwana
Abstract
We use square and rectangular phononic crystals to create experimental realizations of complex topological phononic circuits. The exotic topological transport observed is wholly reliant upon the underlying structure that must belong to either a square or rectangular lattice system and not to any hexagonal-based structure. The phononic system we use consists of a periodic array of square steel bars that partitions acoustic waves in water over a broadband range of frequencies (about $0.5$ MHz). An ultrasonic transducer launches an acoustic pulse that propagates along a domain wall, before encountering a nodal point, from which the acoustic signal partitions towards three exit ports. Numerical simulations are performed to clearly illustrate the highly resolved edge states as well as corroborate our experimental findings. To achieve complete control over the flow of energy, we need to create power division and redirection devices. The tunability afforded by our designs, in conjunction with the topological robustness of the modes, will lead to incorporation into acoustical devices.