General asymptotic formulas are given for the coefficient Cl of the term of multipole number l in the temperature correlation function of the cosmic microwave background, in terms of scalar and dipole form factors introduced in a companion paper. The formulas apply in two overlapping limits: for l ≫ 1 and for ld/dA ≪ 1 (where dA is the angular diameter distance of the surface of last scattering...

An integral-differential equation is derived for the self-consistent (effective) field in the medium consisting of many small bodies randomly distributed in some region. Acoustic and electromagnetic fields are considered in such a medium. Each body has a characteristic dimension a ≪ λ, where λ is the wavelength in the free space. The minimal distance d between any of the two bodies satisfies th...

Considerations associated with inversion of hi-static reverberation and scattering data from a three dimensional space are discussed. The Scattering and Reverberation from the Bottom (SCARAB) acoustic propagation and scattering model has been the kernel for the study. This model considers three dimensional, non-plme wave, range independent acoustic signals in botb mono and hi-static source rece...

An integral-differential equation is derived for the self-consistent (effective) field in the medium consisting of many small bodies randomly distributed in some region. Acoustic and electromagnetic fields are considered in such a medium. Each body has a characteristic dimension a ≪ λ, where λ is the wavelength in the free space. The minimal distance d between any of the two bodies satisfies th...

Submitted for the DFD15 Meeting of The American Physical Society Acoustic Scattering by a Vortex Dipole ZHONGQUAN ZHENG, JUNJIAN ZHANG, Univ of Kansas — Acoustic scattering in vortical flow has been an interesting and practical topic, with applications in problems such as acoustic scattering of turbulent flow. In this study, the linearized Euler equation model is employed to investigate sound w...

Through acoustic scattering theory we derive the mass density and bulk modulus of a spherical shell that can eliminate scattering from an arbitrary object in the interior of the shell--in other words, a 3D acoustic cloaking shell. Calculations confirm that the pressure and velocity fields are smoothly bent and excluded from the central region as for previously reported electromagnetic cloaking ...

We report a direct determination of the specular scattering probability of acoustic phonons at a crystal boundary by observing the escape of incident coherent phonons from the coherent state during reflection. In the sub-THz frequency range where the phonon wavelength is much longer than the lattice constant, the acoustic phonon-interface interaction is found to agree well with the macroscopic ...

Mourre’s commutator method is used together with Besov spaces, in this paper, to settle the question of uniqueness of solutions to the scattering problem for the acoustic wave propagation in perturbed stratified fluids in R with n > 2. The uniqueness of solutions is established by introducing a radiation condition in the framework of Besov spaces, and is then used to prove resolvent estimates i...

So far, Brillouin scattering based sensors have been studied as promising technology for a distributed temperature or strain measurement in structural health monitoring [1-10]. Intrinsically, Brillouin scattering is an effect caused by acoustic vibrations in the medium when laser light travels in a medium such as an optical fiber. Since the sound wave is traveling, light is also subjected to a ...