# Hyperuniform disordered phononic structures

## TL;DR

This paper demonstrates that hyperuniform disordered 2D phononic structures can exhibit large, tunable band gaps with high-Q cavity modes and efficient waveguiding, comparable to periodic structures, and extends these results to 3D layers.

## Contribution

It introduces hyperuniform disordered phononic structures with large band gaps and high-Q cavities, expanding the design space beyond periodic phononic crystals.

## Key findings

- Large phononic band gaps in hyperuniform disordered structures.
- High-Q cavity modes achieved by removing single cylinders.
- Near-perfect waveguiding with arbitrary bends.

## Abstract

We demonstrate the existence of large phononic band gaps in designed hyperuniform (isotropic) disordered two-dimensional (2D) phononic structures of Pb cylinders in epoxy matrix. The phononic band gaps in hyperuniform disordered phononic structures are comparable to band gaps of similar periodic structures, for both out-of-plane and in-plane polarizations. A large number of localized modes is identified near the band edges, as well as, diffusive transmission throughout the rest of the frequency spectrum. Very high-Q cavity modes for both out-of-plane and in-plane polarizations are formed by selectively removing a single cylinder out of the structure. Efficient waveguiding with almost 100% transmission trough waveguide structures with arbitrary bends is also presented. We expand our results to thin three-dimensional layers of such structures and demonstrate effective band gaps related to the respective 2D band gaps. Moreover, the drop in the Q factor for the three-dimensional structures is not more than three orders of magnitude compared to the 2D ones.