The Wing Theory in the Works of N.E. Zhukovsky and S.A. Chaplygin

Stepanov, G. Yu.

doi:10.1615/interjfluidmechres.v26.i4.40

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“…This choice of the X ray reflection and wavelength is based on an analysis of the experimental data (see below). For the reflec tion that was chosen, the Bragg angle is 10.036°, the interplanar spacing is d 104 = 2.7363 Å, and the Fou rier components of X ray polarizability are , χ h = (-0.4668 + [23]. In the numerical simulation, the crystal thickness was 100 μm and the calculated scan curve from this plate exactly coincided with the diffraction curve for the model of a semi infinite crystal.…”

Section: Atmentioning

confidence: 84%

“…The ultrasonic wave velocity along the х axis for the 127° Y' cut of LiNbO 3 crystal is m/s, the lon gitudinal velocity m/s, and the trans verse velocity m/s (ρ = 4629 kg m -3 is the LiNbO 3 density [23] and N m -2 and N m -2 are the elastic constants [24]). Figure 1 shows the profiles of the displacement components and along the LiNbO 3 crystal depth and the profiles of the corresponding parame ters, as determined from relations (6)-(9) for the It can be seen in Fig.…”

Section: Rayleigh Surface Wavementioning

confidence: 99%

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Effect of the ultrasonic frequency on the multiple X-ray scattering from a LiNbO3 crystal modulated by a surface acoustic wave

Пунегов

Рощупкин

2012

Crystallogr. Rep.

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The effect of multiple scattering on the formation of the scan curves for a crystal modulated by a surface acoustic wave (SAW), depending on the ultrasonic frequency, has been investigated in the frame work of the dynamical theory of X ray diffraction. A model of a Rayleigh surface wave has been analyzed as applied to X ray diffraction with allowance for the transverse and longitudinal elastic lattice strains. Using the example of the 127° Y' cut of the LiNbO 3 crystal, it is established that the effects of multiple scattering can be neglected for ultrasonic frequencies above 650 MHz; this finding significantly simplifies the numerical cal culations of X ray diffraction from a crystal modulated by a short wavelength SAW. A comparative quantita tive analysis of the experimental data on synchrotron scattering from the 127° Y' cut of a LiNbO 3 crystal mod ulated by a 952 MHz SAW have been performed, both taking into account and neglecting the effects of mul tiple scattering. It is shown that the computation time can be reduced by 2 to 3 orders of magnitude.

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Section: Atmentioning

confidence: 84%

Section: Rayleigh Surface Wavementioning

confidence: 99%