This paper discusses the efficient, non-redundant evaluation of a Discrete Fourier Transform on the three dimensional Body-Centered and Face-Centered Cubic lattices. The key idea is to use an axis aligned window to truncate and periodize the sampled function which leads to separable transforms. We exploit the geometry of these lattices and show that by choosing a suitable non-redundant rectangu...

We calculate the plasmon dispersion in quasi-one-dimensional quantum wires, in the presence of non-magnetic impurities, taking into consideration the memory function formalism and the role of the forward scattering. The plasma frequency is reduced by the presence of impurities. We also calculate, analytically, the plasmon dispersion in the Born approximation, for the scattering of the electrons...

In this work, we investigate the dynamic response of a solid phase formed during unidirectional solidification below a cooling top wall of a square cavity filled with distilled water and subjected to timevarying heating temperatures at its bottom wall. Assuming a quasisteady state condition, we have formulated a one-dimensional model that predicts the average thickness of the forming solid phas...

Abstract Vibration and noise control are among the classical engineering problems that still draw extensive research interest today. Multiple active passive techniques to resolve these have been reported, however, challenges remain substantial. The recent surge of activities on acoustic metamaterials for vibration testimony fact metamaterial is no longer limited pure theoretical concepts. For o...

The existing theory for wave propagation through a soil layer are not compatible with the real soil layers because in the theory the layers are flat and the sub-layers are parallel, while in real the soil layers are not flat and they may not be parallel. Thus, wave propagations through a corrugated interface are so important. In this paper, a two-dimensional SH-wave propagation through a corrug...

Weyl points and line nodes are three-dimensional linear point and line degeneracies between two bands. In contrast to two-dimensional Dirac points, which are their lower-dimensional analogues, Weyl points are stable in momentum space, and the associated surface states are predicted to be topologically non-trivial. However, Weyl points are yet to be discovered in nature. Here, we report photonic...

In the present study, a spectral finite element method is developed for free and forced transverse vibration of Levy-type moderately thick rectangular orthotropic plates based on first-order shear deformation theory. Levy solution assumption was used to convert the two-dimensional problem into a one-dimensional problem. In the first step, the governing out-of-plane differential equations are tr...

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The study of surface waves in a layered media has their viable application in geophysical prospecting. This paper presents an analytical study on the dispersion of torsional surface wave in a pre-stressed heterogeneous layer sandwiched between a pre-stressed anisotropic porous semi-infinite medium and gravitating anisotropic porous half-space. The non-homogeneity within the intermediate layer a...

With the exception of the harmonic oscillator, quantum wave-packets usually spread as time evolves. This is due to the non-linear character of the classical equations of motion which makes the various components of the wave-packet evolve at various frequencies. We show here that, using the nonlinear resonance between an internal frequency of a system and an external periodic driving, it is poss...