Designing Topological Acoustic Lattices via Electroacoustic Analogies

Topological acoustics has recently witnessed a spurt in research activity, owing to their unprecedented properties transcending typical wave phenomena. In recent years, the use of coupled arrays acoustic chambers gained popularity designing topological systems. common form, an array with relatively large volume is via narrow channels. Such configuration generally modeled as full three-dimensional system, requiring extended computational time for simulating its harmonic response. To this end, paper establishes comprehensive mathematical treatment electroacoustic analogies lattices. The potential such analytical approach demonstrated two types systems: (i) edge states quantized winding numbers diatomic lattice and (ii) valley Hall transition honeycomb that leads robust waveguiding. both cases, established exhibits excellent agreement model, whether dispersion analyses or response system finite number cells. framework invaluable variety insulators minimal cost.