Topological acoustics is an emerging field that lies at the intersection of condensed matter
physics, mechanical structural design and acoustics engineering. It explores the design and …

The topological properties of an object, associated with an integer called the topological
invariant, are global features that cannot change continuously but only through abrupt …

The last 20 years have witnessed growing impacts of the topological concept on the
branches of physics, including materials, electronics, photonics, and acoustics. Topology …

The independent tailoring of wave quantities lays the foundation for controlling wave
phenomena and designing wave devices. The concept of isospectrality, which suggests the …

The introduction of structural defects in otherwise periodic media is well known to grant
space control and localization of waves in several fields of physics, from electromagnetism …

$\mathbb {Z} $-classified topological phases lead to larger-than-unity topological states.
However, these multiple topological states are only localized at the corners in nonlocal …

Inspired to discoveries in condensed matter systems, topological insulators (TIs) for classical
wave systems have been recently unveiled in various platforms. Acoustics in particular offers …

Classical wave systems have been fertile grounds where topological physics are
investigated, enabling the discoveries of numerous intriguing phenomena such as …

Topological phases in classical wave systems, such as photonic and acoustic, have been
actively investigated and applied for wave guiding, lasing, and numerous other novel …