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Direct access to the dispersion relations of multiple anisotropic surface acoustic modes by Fourier image analysis
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15.We select here the 1/2π factor for forward Fourier transforms.
16.Our analysis is based on observations in Y. Sugawara, O. B. Wright, O. Matsuda, M. Takigahira, Y. Tanaka, S. Tamura, and V. E. Gusev, Phys. Rev. Lett. 88, 185504 (2002) for isotropic substrates suggesting that is imaginary (for images). A similar analysis for images would therefore require real and the use of instead of Trial use of lead to broadened spectral features.
17.The window function is with x and y in microns.
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19.To avoid temporal truncation effects, the ideal integration range for the temporal Fourier transform is over We checked that the chosen range of 12.26 ns leads to a negligible shift in the maxima of for a given ω. Images of calculated for comparison, show a degraded spectrum with broadened peaks at
20.B. A. Auld, Acoustic Fields and Waves in Solids (Wiley, New York, 1973), Vols. I and II.
21.The elastic constants for are taken as and (in units of gigapascal), with density
22.The bulk quasitransverse mode, that becomes pure longitudinal in the  or  directions [see B. A. Auld, Acoustic Fields and Waves in Solids (Wiley, New York, 1973), Vol. I], appears not to be significantly excited. In addition, the LBW mode becomes pure shear horizontal in these directions, and by symmetry is not excited.
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