Entity

Time filter

Source Type

Liverpool, United Kingdom

Haslinger S.G.,Mathematical science Building | Movchan A.B.,Mathematical science Building | Movchan N.V.,Mathematical science Building | McPhedran R.C.,Mathematical science Building | McPhedran R.C.,University of Sydney
Waves in Random and Complex Media | Year: 2014

We study the flexural wave modes existing in finite stacks of gratings containing rigid, zero-radius pins. We group the modes into even and odd classes, and derive dispersion equations for each. We study the recently discovered elasto-dynamically inhibited transmission (EDIT) phenomenon, and relate it to the occurrence of trapped waves of even and odd symmetries being simultaneously resonant. We show how the EDIT interaction may be steered over a wide range of frequencies and angles, using a strategy in which the single-grating reflectance is kept high, so enabling the quality factors of the even and odd resonances to be kept large. © 2014 © 2014 Taylor & Francis. Source


Haslinger S.G.,Mathematical science Building | McPhedran R.C.,Mathematical science Building | McPhedran R.C.,University of Sydney | Movchan N.V.,Mathematical science Building | Movchan A.B.,Mathematical science Building
Journal of Physics: Conference Series | Year: 2013

The article combines the analytical models of scattering and Bloch waves for a stack of periodic gratings in an infinite elastic plate. The waves represent flexural deflections of the plate governed by a fourth-order partial differential equation. The emphasis is on the analysis of trapped modes and transmission resonances for different configurations of the grating stack and physical parameters of the flexural waves. Special attention is given to the phenomenon of Elasto-Dynamically Inhibited Transmission (EDIT). The analytical model is supplemented with comprehensive numerical examples. © Published under licence by IOP Publishing Ltd. Source


Movchan N.V.,Mathematical science Building | Mcphedran R.C.,University of Sydney | Movchan A.B.,Mathematical science Building
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences | Year: 2011

The paper presents an analytical approach to modelling of Bloch-Floquet waves in structured Mindlin plates. The emphasis is given to a comparative analysis of two simplified plate models: the classical Kirchhoff theory and the Mindlin theory for dynamic response of periodic structures. It is shown that in the case of a doubly periodic array of cavities with clamped boundaries, the structure develops a low-frequency band gap in its dispersion diagram. In the framework of the Kirchhoff model, this band gap persists, even when the radius of the cavities tends to zero. A clear difference is found between the predictions of Kirchhoff and Mindlin theories. In Mindlin theory, the lowest band goes down to ω =0 as the radius of the cavities tends to zero, which is linked with the contrasting behaviour of the corresponding Green functions. This journal is © 2011 The Royal Society. Source


Haslinger S.G.,Mathematical science Building | Movchan N.V.,Mathematical science Building | Movchan A.B.,Mathematical science Building | Mcphedran R.C.,University of Sydney
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences | Year: 2012

The paper discusses properties of flexural waves in elastic plates constrained periodically by rigid pins. A structured interface consists of rigid pin platonic gratings parallel to each other. Although the gratings have the same periodicity, relative shifts in horizontal and vertical directions are allowed. We develop a recurrence algorithm for constructing reflection and transmission matrices required to characterize the filtering of plane waves by the structured interface with shifted gratings. The representations of scattered fields contain both propagating and evanescent terms. Special attention is given to the analysis of trapped modes which may exist within the system of rigid pin gratings. Analytical findings are accompanied by numerical examples for systems of two and three gratings. We show geometries containing three gratings in which transmission resonances have very high quality factors (around 35 000). We also show that controlled lateral shifts of three gratings can give rise to a transmission peak with a sharp central suppression region, akin to the phenomenon of electromagnetic-induced transparency. © 2011 The Royal Society. Source

Discover hidden collaborations