In this work, in the process of plane-wave ultrasound probing from different angles attainable spatial resolution was estimated on basis previously developed theory Doppler response formation. theoretical calculations coherent compounding signals conducted over period changing steering probing. For case an analytical expression for system sensitivity function field, which corresponds to point s...

Abstract We rigorously investigate the rapidly oscillating contributions in sinc-function representation of Dirac delta function and Fourier transform Coulomb potential. Beginning with a derivation standard integral Heaviside step function, we examine that contains sinc function. By contour integration, prove satisfies properties although it is divergent at nonzero points. This good pedagogical...

The effects of doping bare silicon clusters with carbon on their physical properties are of fundamental interest for the chemistry of the interstellar medium and the development of novel nanostructures in materials science. Carbon-doped silicon clusters (SinC, n = 3-8) are characterized in the gas phase with infrared-ultraviolet two-color ionization (IR-UV2CI) spectroscopy, mass spectrometry, a...

MRI myocardial tagging offers a tremendous opportunity to quantitatively, serially and noninvasively examine the intramyocardial motion and deformation [l-51. The ideal presaturation or tagging stripe should be of rectangular intensity profile and controllable width with respect to the distance between adjacent stripes. Here we propose a sinc modulated RF pulse train that offers sharper-edged t...

In this paper, a numerical solution of the modified regularized long wave (MRLW) equation is obtained using Sinc-collocation method. This approach approximates space dimension with cardinal expansion Sinc functions. First, discretizing time derivative MRLW by classic finite difference formula, while derivatives are approximated θ—weighted scheme. For comparison purposes, we also find soliton Ad...

We discuss a new approach to represent fractional operators by Sinc approximation using convolution integrals. A spin off of the convolution representation is an effective inverse Laplace transform. Several examples demonstrate the application of the method to different practical problems.