An integrated model for ultrasonic wave propagation and scattering in a polycrystalline medium with elongated hexagonal grains

Propagation and scattering of ultrasonic waves in polycrystals with arbitrary crystallite and macroscopic texture symmetries

“…Poisson"s statistics [54,9] as an exponential distribution in terms of three effective correlation radii 322 Pilchak et al [49] by orientation image microscopy study.…”

“…In many cases, the 37 objective is scatter [2] suppression to increase signal-to-noise ratio and image improvement. In others, as 38 was recently realized, by measuring scattering noise one can obtain important information on medium 39 inhomogeneities and microstructure leading to new wave diagnostic modalities that have importance for 40 diagnostics of different states of materials and tissues and for geosciences [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. 41…”

“…(17) has the same form as that for a macroscopically isotropic medium [7,9] due to macroscopic 343 anisotropy, Christoffel"s equation Eq (14) is used for determination of vector q and its components. This 344 will be discussed in the next section.…”

“…Analysis shows that for a macroscopically isotropic medium formed by triclinic crystallites the 446 inner products can be presented in the same form as those for cubic and hexagonal crystallites in [9,62]: 447       Eq. (28) reduces to that of our prior work [9].…”

Mode-converted ultrasonic scattering in polycrystals with elongated grains

“…Their work has been further extended to include macroscopic anisotropy and grains of more general crystallographic point group symmetries. [16][17][18][19][20] However, these models [14][15][16][17][18][19][20] are based on a plane wave assumption, neglecting the beam behavior inherent when focused transducers are used.…”