Acoustic radiation force due to arbitrary incident fields on spherical particles in soft tissue

Treweek, Benjamin; Ilinskii, Yurii A.; Zabolotskaya, Evgenia A.; Hamilton, Mark F.

doi:10.1063/1.4934403

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2018

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“…8 They have also been evaluated numerically to calculate both axial and transverse forces on an elastic sphere located off axis in a focused sound beam. 9 The second contribution, a method for including the effect of the scattered shear wave when calculating the radiation force on a compressible sphere in a soft elastic medium, is described in Sec. VII.…”

Section: Introductionmentioning

confidence: 99%

Acoustic radiation force on an elastic sphere in a soft elastic medium

Ilinskii

Zabolotskaya

Treweek

et al. 2018

The Journal of the Acoustical Society of America

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A theoretical framework in Lagrangian coordinates is developed for calculating the acoustic radiation force on an elastic sphere in a soft elastic medium. Advantages of using Lagrangian coordinates are that the surface of the sphere is fixed in the reference frame, and nonlinearity appears only in the stress tensor. The incident field is a time-harmonic compressional wave with arbitrary spatial structure, and there is no restriction on the size of the sphere. Bulk and shear viscosities are taken into account with complex wavenumbers. A solution is presented for the radiation force due to the scattered compressional wave. For an ideal liquid surrounding the sphere, there is no scattered shear wave contributing to the radiation force and the solution is complete. The theory reproduces established results obtained in Eulerian coordinates for an elastic sphere in a fluid.

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Section: Introductionmentioning

confidence: 99%