Localizing elastic edge waves via the topological rainbow effect

B Ungureanu, MP Makwana, RV Craster… - Physical Review Applied, 2021‏ - APS
We combine two different fields, topological physics and graded metamaterials, to design a
topological metasurface to control and redirect elastic waves. We strategically design a two …

Broadband large-scale acoustic topological waveguides

Y Chen, X Wen, Y Lu, Z Lan, L Fan, HS Park, Z Gu… - Composite …, 2025‏ - Elsevier
The acoustic topological waveguide (ATW) hosting topologically protected waveguide
modes provides a unique opportunity for achieving large-scale sound transport with …

On the use of topology optimized band gap structures for the realization of second-order acoustic topological insulators with valley-selective corner states

Y Chen - Structural and Multidisciplinary Optimization, 2022‏ - Springer
Second-order acoustic topological insulators (SATIs) hosting corner states provide
unprecedented opportunities for realizing robust transport of sound in higher dimensions …

Analytical approximations for multiple scattering in one-dimensional waveguides with small inclusions

M Lázaro, R Wiltshaw, RV Craster… - Mechanical Systems and …, 2025‏ - Elsevier
In this paper, we propose a new model to approximate the wave response of waveguides
containing an arbitrary number of small inclusions. The theory is developed for general one …

Hybrid topological guiding mechanisms for photonic crystal fibers

M Makwana, R Wiltshaw, S Guenneau, R Craster - Optics Express, 2020‏ - opg.optica.org
We create hybrid topological-photonic localisation of light by introducing concepts from the
field of topological matter to that of photonic crystal fiber arrays. S-polarized obliquely …

Analytical solutions for Bloch waves in resonant phononic crystals: deep-subwavelength energy splitting and mode steering between topologically protected interfacial …

R Wiltshaw, JM De Ponti… - The Quarterly Journal of …, 2023‏ - academic.oup.com
We derive analytical solutions based on singular Green's functions, which enable efficient
computations of scattering simulations or Floquet–Bloch dispersion relations for waves …

Acoustic topological circuitry in square and rectangular phononic crystals

N Laforge, R Wiltshaw, RV Craster, V Laude… - Physical Review …, 2021‏ - APS
We use square and rectangular phononic crystals to create experimental realizations of
complex topological phononic circuits. The exotic topological transport observed is wholly …

Clusters of Bloch waves in three-dimensional periodic media

YA Godin, B Vainberg - Proceedings of the Royal Society …, 2022‏ - royalsocietypublishing.org
We consider acoustic wave propagation through a periodic array of the inclusions of
arbitrary shape. The inclusion size is much smaller than the array period while the …

Wide range of wave attenuation in beam-supported stepped hybrid phononic crystals

JC Guo, JR Li, L Zhang, Z Zhang - Wave Motion, 2022‏ - Elsevier
A beam-supported stepped hybrid phononic crystals (PnCs) was proposed for the wave
attenuations in the wide frequency range from 9.4 Hz to 8.4 kHz. For a ternary beam …

Propagation and dispersion of Bloch waves in periodic media with soft inclusions

YA Godin, B Vainberg - Journal of Mathematical Physics, 2024‏ - pubs.aip.org
We investigate the behavior of waves in a periodic medium containing small soft inclusions
or cavities of arbitrary shape, such that the homogeneous Dirichlet conditions are satisfied at …