The scattering and transmission of elastic waves in quasi-two-dimensional planar waveguides with linear defect boundaries

Abstract

PACS. 61.46.+w Clusters, nanoparticles, and nanocrystalline materials, 61.12.Bt Theories of diffraction and scattering, 68.65.+g Low-dimensional structures (superlattices, quantum well structures, multilayers): structure, and nonelectronic properties,

Phonons transmission by thin films sandwiched between two similar fcc structures

“…Given an incident elastic wave mode i from the left reservoir onto the interfacial region, the resulting Cartesian components a of the displacement fieldũ 0 a ðn; m; sÞ, for each fcc site, may be expressed using the matching approach [10][11][12][13][14][15], as the sum of the contributions coming from the incident elastic wave and from the fields backscattered at the nanojunction boundary, at the same frequency and wave-vector components u 0 a ðn; m; sÞ ¼ g n…”

“…There are a number of theoretical methods to deal with the effects of different type of atomic inhomogeneities on vibration properties. The matching method we use in our work has been extended with success to study the vibration states and transmission/reflection of elastic waves at isolated nanostructures in several disordered systems [10][11][12][13][14][15]. This technique allows us to deal with both aspects the localization of phonon modes and the scattering of elastic waves within the same mathematical framework.…”

Scattering of Lattice Waves in Planar Surface with Grafted Adatomic Chains

“…We mention the matching method proposed by Feuchtwang [7] revised and improved by Szeftel and Khater [8]. Since then, it has not ceased to be applied to electronic phenomena [4][5][6] and waves scattering [9][10][11][12][13][14][15]. It is expected that the waves scattering would be more complicated there, because it involves a 3D vector field describing the components of displacements at each site, contrary to the electronic case, where the field is a scalar.…”

“…During the past two decades, several theoretical and experimental studies treating perturbed surfaces have been formulated [10][11][12][13][14][15][16][17]. Berthod et al [5] investigated the influence of a local defect on dc transport in mesoscopic quantum wires of finite width.…”

“…Resonances due to a coupling between propagating continuum and localized states induced by the defect are observed. In addition, the influence of linear defect boundaries on the transmission and scattering of elastic waves in quasi-two-dimensional waveguides is studied [15]. Then, the authors analyzed the dispersion curves, the attenuation factors and confirmed the presence of Fano resonances in the transmission spectra.…”