On-chip temporal focusing of elastic waves in a phononic crystal waveguide

Abstract

The ability to manipulate acoustic and elastic waveforms in continuous media has attracted significant research interest and is crucial for practical applications ranging from biological imaging to material characterization. Although several spatial focusing techniques have been developed, these systems require sophisticated resonant structures with narrow bandwidth, which limit their practical applications. Here we demonstrate temporal pulse manipulation in a dispersive one-dimensional phononic crystal waveguide, which enables the temporal control of ultrasonic wave propagation. On-chip pulse focusing is realized at a desired time and position with chirped input pulses that agree perfectly with the theoretical prediction. Moreover, traveling four-wave mixing experiments are implemented, providing a platform on which to realize novel nonlinear phenomena in the system. Incorporating this dispersive pulse engineering scheme into nonlinear phononic crystal architecture opens up the possibility of investigating novel phenomena such as phononic solitons.

Solitary waves in a granular chain of elastic spheres: Multiple solitary solutions and their stabilities

“…In addition, we compare Eqs. (27) and (30) and can find that these two equations have the same form with exchanging (ξ, τ, k 1 , ω 1 ) with (x, t, k 1 , ω 1 ). Based on this fact, we construct approximate multiple solitary wave solutions in the following way: integrate u i (ξ, τ )(i = 2, 3, 4) in Eqs.…”

“…Indeed, the discovery of phononic solitons has been demonstrated to be of fundamental importance in the study of nonlinear phenomena in phononic crystals. Recent results of nonlinear phononic crystals, such as sound bullets (a highly localized pulse) [27,28], novel granular protection systems [29], nonlinear phononic crystal waveguide [30], and highly nonlinear solitary waves [31], have shown potential applications of solitary waves in many fields.…”

Modal Analysis Investigation of Mechanical Kerr Frequency Combs

“…A promising workaround consists in using mechanical Fabry-Perot like structures (Hatanaka et al 2014, Hatanaka et al 2015, Cha and Daraio 2018, Kurosu et al 2018, Hatanaka et al 2019). These structures are in fact rectangular suspended plates, as shown schematically in Fig.…”

Mechanical Kerr Nonlinearity of Wave Propagation in an On-Chip Nanoelectromechanical Waveguide

“…This hosts its excellent properties, such as engineerable dispersion, low propagation loss, design flexibility and semiconductor-based integration. Thus, this architecture has enabled the demonstration of electrical phonon manipulation, energy focusing by dispersion, and the active manipulation of phononic band structures on a chip [19][20][21][22] .…”