Rayleigh wave field

If the field incident on the surface of the specimen is described by pinc( )> and Pinc(kx) is its Fourier transform, then the reflected field at the surface can be found by taking the inverse Fourier transform of the product of PiBC kx) and R(kx). Lower case denotes real-space fields, upper case spatial frequency (or reciprocal-space) fields. A time dependence exp(iwt), corresponding to a frequency w/27r, is implicit throughout. If the reflected field is separated into the geometrical part Rq x) and the leaky Rayleigh wave part Pr(x),... 

These two equations give the reflected field at the surface due to the Rayleigh wave interaction for any incident field. 

Thus, at points in the lower half-space V z > 0), the Rayleigh integral describes an upgoing wavefield which assumes the given values U(r, t) on the observation plane S, i.e. it may serve as an analytical tool for utilization of the main element of migration - backward extrapolation (continuation) of the observed scattered wave-field. 

Consider a semiconductor film placed in the fringe field that exists above a piezoelectric crystal such as LiNbOj, which carries a surface acoustic Rayleigh wave. The geometry is shown in Fig. 16. One can use the quasistatic approximation for the traveling wave because the wave travels with the sound velocity which is nearly static when compared with the light veloc-... 

Hatano H, Watanabe T (1997) Reciprocity calibration of acoustic emission transducers in Rayleigh wave and longitudinal wave sound field. J. Acoust Soc. Am. 101(3) 1450-1455... 

Following this sudden movement, many waves radiate from the epicenter and propagate through the earth. It has been recognized that both P and S waves, known as body waves, emanate from the source and travel with a velocity that exceeds 4 km/s in earth. When they arrive at the free field, they are followed by both Love and Rayleigh waves. These latter, known as surface waves, travel only at the surface. The movements associated with body as well as surface waves are well known and are mainly decomposed into compressional and shear movement. At the free field, the seismic motion could be decomposed into two parts (a) motion caused by body waves and (b) motion caused by surface waves. 

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