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Volumn 454, Issue 1979, 1998, Pages 2911-2947

Topological features of the polarization fields of plane acoustic waves in anisotropic media

Author keywords

Acoustic axis; Acoustic polarization field; Longitudinal elastic wave; Poincar ; Theorem; Topological index; Vector singularity

Indexed keywords


EID: 0038877106     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1998.0286     Document Type: Article
Times cited : (42)

References (56)
  • 3
    • 85020798772 scopus 로고
    • & Shuvalov, A. L. Polarization fields of elastic waves near the acoustic axes.
    • Alshits, V. I. & Shuvalov, A. L. 1984 Polarization fields of elastic waves near the acoustic axes. Sov. Phys. Crystallogr. 29, 373-378.
    • (1984) Sov. Phys. Crystallogr. 29, 373-378.
    • Alshits, V.I.1
  • 4
    • 85020834876 scopus 로고
    • & Shuvalov, A. L. Acoustic axes in piezoelectric crystals.
    • Alshits, V. I. & Shuvalov, A. L. 1988 Acoustic axes in piezoelectric crystals. Sov. Phys. Crystallogr. 33, 1-4.
    • (1988) Sov. Phys. Crystallogr. 33, 1-4.
    • Alshits, V.I.1
  • 5
    • 33746408523 scopus 로고
    • & Shuvalov, A. L. Classification of degeneracies and analysis of their stability in the theory of elastic waves in crystals.
    • Alshits, V. L, Sarychev, A. V. & Shuvalov, A. L. 1985 Classification of degeneracies and analysis of their stability in the theory of elastic waves in crystals. Sov. Phys. JETP 62, 531-539.
    • (1985) Sov. Phys. JETP 62, 531-539.
    • Alshits, V.L.1    Sarychev, A.V.2
  • 6
    • 85020770618 scopus 로고
    • & Shuvalov, A. L. Some properties of solutions for bulk elastic waves in piezoelectrics.
    • Alshits, V. I., Sarychev, A. V. & Shuvalov, A. L. 1986 Some properties of solutions for bulk elastic waves in piezoelectrics. Sov. Phys. Solid State, 28, 1052-1053.
    • (1986) Sov. Phys. Solid State, 28, 1052-1053.
    • Alshits, V.I.1    Sarychev, A.V.2
  • 7
    • 85020835876 scopus 로고
    • & Shuvalov, A. L. Disclinations in a vector field of polarizations of acoustic and optical beams under conical refraction conditions.
    • Alshits, V. I., Darinskii, A. N. & Shuvalov, A. L. 1989 Disclinations in a vector field of polarizations of acoustic and optical beams under conical refraction conditions. Sov. Phys. JETP 69, 1105-1108.
    • (1989) Sov. Phys. JETP 69, 1105-1108.
    • Alshits, V.I.1    Darinskii, A.N.2
  • 8
    • 85020824599 scopus 로고
    • & Darinskii, B. M. Longitudinal normals of elastic waves in crystals.
    • Bestuzheva, N. P. & Darinskii, B. M. 1993 Longitudinal normals of elastic waves in crystals. Crystallogr. Rep. 38, 592-597.
    • (1993) Crystallogr. Rep. 38, 592-597.
    • Bestuzheva, N.P.1
  • 10
    • 0039304971 scopus 로고
    • & Roth, S. First observation of a negative elastic constant in intermediate valent TmSe.
    • Boppart, H., Treindl, A., Wächter, P. & Roth, S. 1980 First observation of a negative elastic constant in intermediate valent TmSe. Solid State Commun. 35, 483-486.
    • (1980) Solid State Commun. 35, 483-486.
    • Boppart, H.1    Treindl, A.2    Wächter, P.3
  • 11
    • 34250076631 scopus 로고
    • &: Kunakovskaya, O. V. Application of topological methods to estimate the number of longitudinal elastic waves in crystals.
    • Borisovich, Yu. G., Darinskii, B. M. &: Kunakovskaya, O. V. 1993 Application of topological methods to estimate the number of longitudinal elastic waves in crystals. Theor. Math. Phys. 94, 104-108.
    • (1993) Theor. Math. Phys. 94, 104-108.
    • Yu Borisovich, G.1    Darinskii, B.M.2
  • 12
    • 85020765360 scopus 로고
    • & Hayes, M. Bivectors and waves in mechanics and optics.
    • Boulanger, Ph. & Hayes, M. 1993 Bivectors and waves in mechanics and optics. London: Chapman & Hall.
    • (1993) London: Chapman & Hall.
    • Boulanger, P.1
  • 16
    • 0016346673 scopus 로고
    • & Currie, P. K. On the propagation of generalized transverse waves in heatconducting elastic materials.
    • Chadwick, P. & Currie, P. K. 1974 On the propagation of generalized transverse waves in heatconducting elastic materials. J. Elasticity 4, 301-315.
    • (1974) J. Elasticity 4, 301-315.
    • Chadwick, P.1
  • 17
    • 0039697021 scopus 로고    scopus 로고
    • & Shuvalov, A. L. Bulk-wave polarization fields in transversely isotropic elastic media.
    • Chadwick, P. & Shuvalov, A. L. 1997 Bulk-wave polarization fields in transversely isotropic elastic media. Proc. R. Soc. Land. A 453, 77-92.
    • (1997) Proc. R. Soc. Land. a 453, 77-92.
    • Chadwick, P.1
  • 19
    • 0019626325 scopus 로고
    • A review of wave motion in a anisotropic and cracked elastic-media.
    • Crampin, S. 1981 A review of wave motion in a anisotropic and cracked elastic-media. Wave Motion 3, 343-391.
    • (1981) Wave Motion 3, 343-391.
    • Crampin, S.1
  • 21
    • 85020801125 scopus 로고
    • Polarization of plane elastic waves in anisotropic solids.
    • Darinskii, B. M. 1995 Polarization of plane elastic waves in anisotropic solids. Crystallogr. Rep. 40, 531-537.
    • (1995) Crystallogr. Rep. 40, 531-537.
    • Darinskii, B.M.1
  • 22
    • 0001640353 scopus 로고
    • & Sachse, W. Imaging of laser-generated ultrasonic waves in silicon.
    • Every, A. G. & Sachse, W. 1991 Imaging of laser-generated ultrasonic waves in silicon. Phys. Äet;. B 44, 6689-6699.
    • (1991) Phys. Äet;. B 44, 6689-6699.
    • Every, A.G.1
  • 23
    • 0002013544 scopus 로고
    • & Stoddart, A. J. Phonon focusing in cubic crystals in which transverse phase velocities exceed the longitudinal phase velocity in some direction.
    • Every, A. G. & Stoddart, A. J. 1985 Phonon focusing in cubic crystals in which transverse phase velocities exceed the longitudinal phase velocity in some direction. Phys. Rev. B 32, 1319-1322.
    • (1985) Phys. Rev. B 32, 1319-1322.
    • Every, A.G.1
  • 24
    • 85020803861 scopus 로고
    • Theory of elastic waves in crystals.
    • Fedorov, F. I. 1968 Theory of elastic waves in crystals. New York: Plenum.
    • (1968) New York: Plenum.
    • Fedorov, F.I.1
  • 25
    • 9144222281 scopus 로고
    • & Wolfe, J. P. Internal diffraction of ultrasound in crystals: phonon focusing at long wavelengths.
    • Hauser, M. R., Weaver, R. L. & Wolfe, J. P. 1992 Internal diffraction of ultrasound in crystals: phonon focusing at long wavelengths. Phys. Rev. Lett. 68, 2604-2607.
    • (1992) Phys. Rev. Lett. 68, 2604-2607.
    • Hauser, M.R.1    Weaver, R.L.2
  • 26
    • 84967882502 scopus 로고
    • & Schoenberg, M. Anomalous polarization of elastic waves in transversely isotropic media.
    • Helbig, K. & Schoenberg, M. 1987 Anomalous polarization of elastic waves in transversely isotropic media. J. Acoust. Soc. Am. 81, 1235-1245.
    • (1987) J. Acoust. Soc. Am. 81, 1235-1245.
    • Helbig, K.1
  • 29
    • 85020788980 scopus 로고
    • &: Lothe, J. The topological nature of the polarization field for bodywaves in anisotropic elastic media.
    • Holm, P. &: Lothe, J. 1980 The topological nature of the polarization field for bodywaves in anisotropic elastic media. Proc. R. Soc. Land. A 370, 331-350.
    • (1980) Proc. R. Soc. Land. a 370, 331-350.
    • Holm, P.1
  • 30
    • 4243842551 scopus 로고
    • & Kinder, H. Total internal reflection of high frequency phonons: a test of specular refraction.
    • Hoss, C., Wolfe, J. P. & Kinder, H. 1990 Total internal reflection of high frequency phonons: a test of specular refraction. Phys. Rev. Lett. 64, 1134-1136.
    • (1990) Phys. Rev. Lett. 64, 1134-1136.
    • Hoss, C.1    Wolfe, J.P.2
  • 34
    • 0028208986 scopus 로고
    • & Sachse, W. Focusing of fast transversal modes in (001) silicon at ultrasonic frequencies.
    • Kim, K. Y., Every, A. G. & Sachse, W. 1994 Focusing of fast transversal modes in (001) silicon at ultrasonic frequencies. J. Acoust. Soc. Am. 95, 1942-1952.
    • (1994) J. Acoust. Soc. Am. 95, 1942-1952.
    • Kim, K.Y.1    Every, A.G.2
  • 36
    • 85020790224 scopus 로고
    • & Chapelle, J. P. Ultrasonic studies of the phase transition in Hg2Br2 crystals.
    • Lemanov, V. V., Esayan, S. Kh. & Chapelle, J. P. 1981 Ultrasonic studies of the phase transition in Hg2Br2 crystals. Sov. Phys. Solid State 23, 146-151.
    • (1981) Sov. Phys. Solid State 23, 146-151.
    • Lemanov, V.V.1    Kh, E.S.2
  • 38
    • 85020820701 scopus 로고
    • & Smolenskii, G. A. Elastic properties of the cesium deuterium selenite crystal in the monoclinic phase.
    • Lushnikov, S. G., Prohorova, S. D., Sinii, I. G. & Smolenskii, G. A. 1987 Elastic properties of the cesium deuterium selenite crystal in the monoclinic phase. Sov. Phys. Solid State 29, 280-284.
    • (1987) Sov. Phys. Solid State 29, 280-284.
    • Lushnikov, S.G.1    Prohorova, S.D.2    Sinii, I.G.3
  • 40
    • 0041023806 scopus 로고
    • & Nicklow, R. M. Neutron-scattering investigation of the phonons in intermediate valence Smo.75Yo.25S.
    • Mook, H. A. & Nicklow, R. M. 1979 Neutron-scattering investigation of the phonons in intermediate valence Smo.75Yo.25S. Phys. Rev. B. 20, 1656-1662.
    • (1979) Phys. Rev. B. 20, 1656-1662.
    • Mook, H.A.1
  • 44
    • 0014791233 scopus 로고
    • & Uchida, N. Temperature dependence of elastic, dielectric and piezoelectric constants in TeO2 single crystals.
    • Ohmachi, Y. & Uchida, N. 1970 Temperature dependence of elastic, dielectric and piezoelectric constants in TeO2 single crystals. J. Appl. Phys. 41, 2307-2311.
    • (1970) J. Appl. Phys. 41, 2307-2311.
    • Ohmachi, Y.1
  • 48
    • 85020786728 scopus 로고
    • A theorem in thermoelasticity and its application to linear stability.
    • Scott, N. H. 1989 A theorem in thermoelasticity and its application to linear stability. Proc. R. Soc. Land. A 424, 143-153.
    • (1989) Proc. R. Soc. Land. a 424, 143-153.
    • Scott, N.H.1
  • 49
    • 3142626836 scopus 로고    scopus 로고
    • & Chadwick, P. Degeneracies in the theory of plane harmonic wave propagation in anisotropic heat-conducting elastic media.
    • Shuvalov, A. L. & Chadwick, P. 1997 Degeneracies in the theory of plane harmonic wave propagation in anisotropic heat-conducting elastic media. Phil. Trans. R. Soc. Land. A 355, 155-188.
    • (1997) Phil. Trans. R. Soc. Land. a 355, 155-188.
    • Shuvalov, A.L.1
  • 50
    • 0008973336 scopus 로고    scopus 로고
    • & Every, A. G. Curvature of acoustic slowness surface of anisotropic solids near symmetry axes.
    • Shuvalov, A. L. & Every, A. G. 1996 Curvature of acoustic slowness surface of anisotropic solids near symmetry axes. Phys. Rev. B 53, 14906-14916.
    • (1996) Phys. Rev. B 53, 14906-14916.
    • Shuvalov, A.L.1
  • 51
    • 0030937129 scopus 로고    scopus 로고
    • & Every, A. G. Shape of the acoustic slowness surface of anisotropic solids near points of conical degeneracy.
    • Shuvalov, A. L. & Every, A. G. 1997 Shape of the acoustic slowness surface of anisotropic solids near points of conical degeneracy. J. Acoust. Soc. Am. 101, 2381-2383.
    • (1997) J. Acoust. Soc. Am. 101, 2381-2383.
    • Shuvalov, A.L.1
  • 52
    • 85020758403 scopus 로고    scopus 로고
    • & Scott, N. H. On the properties of homogeneous waves in viscoelastic anisotropic media.
    • Shuvalov, A. L. & Scott, N. H. 1998 On the properties of homogeneous waves in viscoelastic anisotropic media. Q. J. Mech. Appl. Math. (In the press.)
    • (1998) Q. J. Mech. Appl. Math. (In the Press.)
    • Shuvalov, A.L.1
  • 55
    • 0039872486 scopus 로고
    • & Grill, W. Determination of elastic constants using a scanning acoustic microscope.
    • Wurz, K.-U., Wesner, J., Hilhnann, K. & Grill, W. 1995 Determination of elastic constants using a scanning acoustic microscope. Z. Phys. B 97, 487-492.
    • (1995) Z. Phys. B 97, 487-492.
    • Wurz, K.-U.1    Wesner, J.2    Hilhnann, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.