Light and sound are the most ubiquitous forms of waves, associated with a variety of
phenomena and physical effects such as rainbows and echoes. Light and sound, both …

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 …

Topological phases of matter have been extensively investigated in solid-state materials and
classical wave systems with integer dimensions. However, topological states in non-integer …

Topological valley metamaterial in classical wave systems has shown great potential for
manipulating electromagnetic, acoustic, and elastic waves due to the defect-immune and …

Guided waves, elastic waves propagating through bounded structures, play a pivotal role in
various applications, including ultrasonic non-destructive testing and structural health …

Topological phononic crystals (PnCs) have attracted tremendous research attention in
recent years. A significant hallmark of these structures is that these crystals can support …

Topological elastic wave metamaterials provide a new mechanism to tune wave energy and
provide engineering applications which are difficult to realize by traditional structures. This …

Phononic crystal, the artificial material, has shown the ability to guide the waves. In this
paper, we theoretically and experimentally realize interface transports by doping replacing …

Topological propagation in elastic wave metamaterials is widely investigated due to the
superior transmission performance but most studies are focused on a single frequency …

Topology is the branch of mathematics studying the properties of an object that are
preserved under continuous deformations. Quite remarkably, the powerful theoretical tools …