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Elastic Wave Propagation in Homogeneous and Inhomogeneous Media
Abstract
A general method is developed for the solution of the linearized equations of elasticity for both homogeneous and inhomogeneous media. This method yields solutions which describe propagating waves which may be pulses, rapidly changing wave forms, or periodic waves. It is not restricted by the usual considerations which depend upon separation of variables. The solution consists of a series of terms, the first of which describes the wave motion predicted by geometrical optics. Subsequent terms account for certain types of diffraction effects. The series is not necessarily convergent but is presumably asymptotic to the solution.
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Citations
Cited by
Wave propagation and sampling theory; Part I, Complex signal and scattering in multilayered media
Morlet, J., Arens, G., Fourgeau, E., & Giard, D. (1982) · Geophysics · doi:10.1190/1.1441328 · Cited by 1,380
Seismic Rays and Ray Intensities in Inhomogeneous Anisotropic Media
Červený, V. (1972) · Geophysical Journal International · doi:10.1111/j.1365-246x.1972.tb06147.x · Cited by 331
Dirac cones in two-dimensional artificial crystals for classical waves
Lu, J., Qiu, C., Xu, S., Ye, Y., Ke, M., & Liu, Z. (2014) · Physical Review B · doi:10.1103/physrevb.89.134302 · Cited by 192
Kravtsov, Y. A., Naida, O. N., & Fuki, A. A. (1996) · Physics-Uspekhi · doi:10.1070/pu1996v039n02abeh000131 · Cited by 57
Polarization transport of transverse acoustic waves: Berry phase and spin Hall effect of phonons
Bliokh, K. Y., & Freilikher, V. D. (2006) · Physical Review B · doi:10.1103/physrevb.74.174302 · Cited by 55
Metadata
- Authors
- Karal, F. C., & Keller, J. B.
- Venue
- The Journal of the Acoustical Society of America
- Publisher
- Acoustical Society of America (ASA)
- Published
- 1959-06-01
- Volume
- 31
- Issue
- 6
- Pages
- 694-705
- ISSN
- 0001-4966 (ISSN-L)
- 1520-8524
- OpenAlex
- W2013781432
- Cited by
- 263
- References
- 0
- FWCI
- 1.75
- Type
- journal article
- Language
- en
- Open access
- closed
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- Karal, F. C., & Keller, J. B. (1959). Elastic Wave Propagation in Homogeneous and Inhomogeneous Media. The Journal of the Acoustical Society of America. https://doi.org/10.1121/1.1907775
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