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7 November 2016 Fractional Fourier analysis of elastic wave scattering in inhomogeneous materials
Yuanzhang Fan, Xiangyang Lu
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Optical Engineering, Vol. 55, Issue 11, 110501 (November 2016). https://doi.org/10.1117/1.OE.55.11.110501
Abstract
To describe the elastic wave scattering, which reflects the performance of propagation control materials, the approximate directional cloaks of an elastic wave are designed using the zero- and first-order approximation coordinate transformation method. Because the convergence features of fractional Fourier transform (FRFT) are more acute and sensitive to the frequency change than those of short time Fourier transform, the spatial signals in the designed materials are transformed in the FRFT domain. The spatial frequency changes of elastic waves through inhomogeneous materials are quantitatively analyzed under several circumstances. The provided time-frequency analysis method with FRFT can support the design evaluation of the material parameters.
CC BY: © The Authors. Published by SPIE under a Creative Commons Attribution 4.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.
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Yuanzhang Fan and Xiangyang Lu "Fractional Fourier analysis of elastic wave scattering in inhomogeneous materials," Optical Engineering 55(11), 110501 (7 November 2016). https://doi.org/10.1117/1.OE.55.11.110501
Published: 7 November 2016
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KEYWORDS
Scattering
Wave propagation
Spatial frequencies
Fractional fourier transform
Fourier transforms
Lutetium
Electromagnetic scattering
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