The Stroh formalism and the reciprocity properties of reflection - Transmission problems in crystal piezo-acoustics

Wave Motion

Volumn 25, Issue 4, 1997, Pages 331-345

  Shuvalov, A L ^a   Lothe, J ^b  

^a SHUBNIKOV INSTITUTE OF CRYSTALLOGRAPHY   (Russian Federation)

^b UNIVERSITY OF OSLO   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038267341     PISSN: 01652125     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0165-2125(96)00044-3     Document Type: Article

References (24)

1. A.N. Stroh, "Steady state problems in anisotropic elasticity", J. Math. Phys. 41, 77-103 (1962).
2. K.A. Ingebrigtsen and A. Tonning, "Elastic surface waves in crystals", Phys. Rev. 184, 942-951 (1969).
3. J. Lothe and D.M. Barnett, "On the existence of surface-wave solutions for anisotropic elastic half-spaces with free surface", J. Appl. Phys. 47, 428-133 (1976).
4. J. Lothe and D.M. Barnett, "Integral formalism for surface waves in piezoelectric crystals. Existence considerations", J. Appl. Phys. 47, 1799-1807(1976).
5. J. Lothe and D.M. Barnett, "Further development of the theory for surface waves in piezoelectric crystal", Phys. Norv. 8, 1799-1807 (1976).
6. V.I. Alshits, A.N. Darinskii and A.L. Shuvalov, "Elastic waves in infinite and semi-infinite media", Phys. Scripta 44, 85-93 (1992).
7. L.M. Brekhovskikh, Waves in Layered Media, Second Edition, Academic Press, New York (1980).
8. J.D. Achenbach, A.K. Gautesen and H. McMaken, Ray Methods for Waves in Elastic Solids, Pitman, Boston (1982).
9. C.J. Thompson, I. Clarke and J. Garmany, "Observations of seismic wave equation and reflection coefficient symmetries in stratified media", Geophys. J.R. Astr. Soc. 86, 675-686 (1986).
10. J. Qu, J.D. Achenbach and R.A. Roberts, "Reciprocal relations for transmission coefficients: theory and application", IEEE Trans. on Ultrasonics, Ferroelectric s and Frequence Control 36, 280-286 (1989).
11. J.F. Allard, B. Brouard and D. Lafarge. "Time reversal and reciprocity in sound propagation through elastic and porous layers", Appl. Phys. Lett. 61, 1166-1167 (1992).
12. J.F. Allard, B. Brouard and D. Lafarge, "Reciprocity and antireciprocity in sound propagation through layered materials including elastic and porous media", Wave Motion 17, 329-335 (1993).
13. B.L.N. Kennett, K. Koketsu and A.J. Haines, "Propagation invariants, reflection and transmission in anisotropic, laterally heterogeneous media", Geophys. J. Int. 103, 95-101 (1990).
14. C.H. Chapman, "Reflection/transmission coefficient reciprocities in anisotropic media", Geophys. J. Int. 116, 498-501 (1994).
15. V.I. Alshits, A.N. Darinskii and A.L. Shuvalov, "Theory of reflection for acoustoelectric waves in a half infinite piezoelectric medium", Soviet. Phys. Cryst. 34, 808 (1989); 35, 1 (1990); 36, 145 (1991); "Specific features of reflection of acoustoelectric waves in piezoelectrics", Ferroelectric Lett. 11, 11-19 (1990).
16. V.I. Alshits, A.N. Darinskii and A.L. Shuvalov, "Theory of reflection for acoustoelectric waves in a half infinite piezoelectric medium", Soviet. Phys. Cryst. 34, 808 (1989); 35, 1 (1990); 36, 145 (1991); "Specific features of reflection of acoustoelectric waves in piezoelectrics", Ferroelectric Lett. 11, 11-19 (1990).
17. V.I. Alshits, A.N. Darinskii and A.L. Shuvalov, "Theory of reflection for acoustoelectric waves in a half infinite piezoelectric medium", Soviet. Phys. Cryst. 34, 808 (1989); 35, 1 (1990); 36, 145 (1991); "Specific features of reflection of acoustoelectric waves in piezoelectrics", Ferroelectric Lett. 11, 11-19 (1990).
18. V.I. Alshits, A.N. Darinskii and A.L. Shuvalov, "Theory of reflection for acoustoelectric waves in a half infinite piezoelectric medium", Soviet. Phys. Cryst. 34, 808 (1989); 35, 1 (1990); 36, 145 (1991); "Specific features of reflection of acoustoelectric waves in piezoelectrics", Ferroelectric Lett. 11, 11-19 (1990).
19. V.I. Alshits, A.N. Darinskii and A.L. Shuvalov, "Acoustoelectric waves in bicrystal media in conditions of a rigid contact or a vacuum gap at an interface", Soviet. Phys. Cryst. 38 (1993).
20. V.I. Alshits, A.N. Darinskii and A. Radowicz, "Resonant reflection of elastic waves on a bicrystal interface with sliding contact", Soviet. Phys. Cryst. 40 (1995)
21. V.I. Alshits, A.N. Darinskii and A.L. Shuvalov, "Resonant reflection and refraction of sound at a liquid - crystal interface", Soviet. Phys. Solid State 34, 1337-1346 (1992).
22. V.I. Alshits, A.N. Darinskii and J. Lothe, "On the existence of surface waves in a half-infinite anisotropic elastic media with piezoelectric and piezomagnetic properties", Wave Motion 16, 265-283 (1992).
23. G.N. Borzdov, L.M. Barkovskii and V.I. Lavrukovich, "Tensorial impedance and transformation of light beams by systems of anisotropic layers. II. Oblique incidence", Zh. Prikladnoi Spektroskopii 25, 526-531 (1976) (in Russian).
24. Yu.I. Sirotine and M.P. Chaskolskaia, Fondements de la Physique des Cristaux (traduit du russe), Mir, Moscow (1984).