Energy of the acoustically excited surface wave on a flat semi‐infinite elastic medium

1973 ◽  
Vol 53 (6) ◽  
pp. 1658-1662 ◽  
Author(s):  
Robert E. Bunney ◽  
Ralph R. Goodman
Keyword(s):  

A rigorous theory of the scattering of two dimensional SH-waves by an irregularity at the mass-loaded boundary of a semi-infinite elastic medium is presented. Two types of surface irregularities are considered: (a) an indentation, (b) a discontinuity in mass-loading. n mass-loading. The incident SH-wave is taken to be either (1) a bulk wave or (2) a surface wave. For the two types of irregularities, the corresponding boundary value problem (of the third kind) is solved by employing a suitably chosen Green function; the latter is represented as a Fourier type of integral. This procedure leads to integral equations in which the relevant field distributions on the disturbed parts of the boundary occur as unknown quantities. In case (1) the amplitudes of the launched surface wave are computed; in case (2) the transmission and the reflexion factor are computed. For both cases, expressions are obtained for the far-field radiation pattern of the scattered bulk wave. In an appendix a reciprocity relation is derived between the amplitude of the launched surface wave as a function of the angle of incidence in case (1) on one hand and the far-field radiation pattern of the scattered bulk wave in case (2) on the other hand. Numerical results are presented for the following configurations: a triangularly prismatic indentation, a rigid strip loading and a traction-free interruption in the mass-loading.


Author(s):  
W.J. de Ruijter ◽  
M.R. McCartney ◽  
David J. Smith ◽  
J.K. Weiss

Further advances in resolution enhancement of transmission electron microscopes can be expected from digital processing of image data recorded with slow-scan CCD cameras. Image recording with these new cameras is essential because of their high sensitivity, extreme linearity and negligible geometric distortion. Furthermore, digital image acquisition allows for on-line processing which yields virtually immediate reconstruction results. At present, the most promising techniques for exit-surface wave reconstruction are electron holography and the recently proposed focal variation method. The latter method is based on image processing applied to a series of images recorded at equally spaced defocus.Exit-surface wave reconstruction using the focal variation method as proposed by Van Dyck and Op de Beeck proceeds in two stages. First, the complex image wave is retrieved by data extraction from a parabola situated in three-dimensional Fourier space. Then the objective lens spherical aberration, astigmatism and defocus are corrected by simply dividing the image wave by the wave aberration function calculated with the appropriate objective lens aberration coefficients which yields the exit-surface wave.


1989 ◽  
Vol 1 (1) ◽  
pp. 247-265
Author(s):  
Joseph Rose ◽  
Aleksander Pilarski ◽  
Yimei Huang
Keyword(s):  

1990 ◽  
Vol 137 (6) ◽  
pp. 467 ◽  
Author(s):  
M. Kirci ◽  
E. Akcakaya
Keyword(s):  

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