Scattering of flow-noise by acylindrical inclusion in an elastic halfspace

Howf, M.S.

doi:10.1016/s0889-9746(05)80001-5

Cited by 1 publication

(2 citation statements)

References 17 publications

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“…(2.3) W hen K j a1 (j = 1,2), it was shown by Howe (1991) th a t sca inclusion can be expressed in term s of a distribution of monopole, dipole and quadrupole sources (of nom inally equal im portance) concentrated on th e axis of th e cylinder. If 0 Y , Hl respectively denote th e n et P and S waves inciden inclusion, the corresponding scattered potentials 0 S, Hs are determ ined by the equations,…”

Section: Scattering By a Cylinder (A) The Governing Equationsmentioning

confidence: 99%

“…This case is im p o rtan t in practice, however, and is the same lim it in which diffraction theory for a surface breaking crack has been applied (Briggs 1985). The analysis m akes use of equations given by Howe (1991) for the two-dim ensional problem of th e scattering of elastic waves propagating in directions perpendicular to the axis of the cylinder. The results are therefore applicable to im aging by a microscope w ith a cylindrical lens.…”

Section: Introductionmentioning

confidence: 99%

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On the image of a cylindrical inclusion in the scanning acoustic microscope

Howe

1991

Proc. R. Soc. Lond. A

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An analysis is made of the image produced in the scanning acoustic microscope with a cylindrical lens by a cylindrical inclusion in an elastic half-space. The theory is developed in the Rayleigh approximation in which the characteristic wavelengths in the solid are large relative to the diameter of the cylinder, and when scattered waves can be expressed by the leading terms in a multipole expansion concentrated on the axis of the cylinder. A formula is derived for the acoustic contrast when the inclusion is rigid (but movable) and in fully lubricated contact with the solid. The results are illustrated by consideration of an inclusion in aluminium with water as the coupling fluid. The contrast decreases rapidly when the depth of the inclusion within the solid exceeds the Rayleigh wavelength, in accordance with current views concerning the importance of these waves in subsurface imaging.

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Section: Scattering By a Cylinder (A) The Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%