Brillouin scattering measurement of SAW velocities for determining near-surface elastic properties

Ultrasonic Nondestructive Evaluation: Engineering and Biological Material Characterization

Volumn , Issue , 2003, Pages 581-652

  Beghi, Marco G ^a   Every, Arthur G ^b   Zinin, Pavel V ^c  

^a POLITECNICO DI MILANO   (Italy)

^b UNIVERSITY OF THE WITWATERSRAND   (South Africa)

^c UNIVERSITY OF HAWAII   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85056035208     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (167)

1. Zinin, P.V., Quantitative acoustic microscopy of solids, in Handbook of Elastic Properties of Solids, Liquids, and Gases. Volume 1: Dynamic Methods for Measuring the Elastic Properties of Solids, Levy, M., Bass, H., Stern, R., and Keppens, V., Eds., Academic Press, New York, 2001, pp. 187-226.
2. Lomonosov, A., Mayer, A.P., and Hess, P., Laser controlled surface acoustic waves, in Handbook of Elastic Properties of Solids, Liquids, and Gases. Volume I: Dynamic Methods for Measuring the Elastic Properties of Solids, Levy, M., Bass, H., Stern, R., and Keppens, V., Eds., Academic Press, New York, 2001, pp. 137-186.
3. Nizzoli, F. and Sandercok, J.R., Surface Brillouin scattering from phonons, in Dynamical Properties of Solids, Horton, G.K. and Maradudin, A.A., Eds., Elsevier, New York, 1990, pp. 285-335.
4. Mutti, P., Bottani, C.E., Ghislotti, G., Beghi, M., Briggs, G.A.D., and Sandercock, J.R., Surface Brillouin scattering: extending surface wave measurements to 20 GHz, in Advanced in Acoustic Microscopy, Briggs, A., Ed., Plenum Press, New York, 1995, pp. 249-300.
5. Sathish, S., Mendik, M., Kulik, A., Gremaud, G., and Wachter, P., Polish induced surface damage in nickel — scanning acoustic microscopy and Brillouin scatterings study, Appl. Phys. Lett., 59, 167-168, 1991.
6. Jiang, X., Wang, M., Schmidt, K., Dunlop, E., Haupt, J., and Gissler, W., Elastic constants and hardness of ion beam sputtered TiNx films measured by Brillouin scattering and depth-sensing indentation, J. Appl. Phys., 69, 3053-3057, 1991.
7. Jiang, X., Harzer, J.V., Hillebrands, B., Wild, C., and Koidl, P., Brillouin light scattering on chemical vapor deposited polycrystalline diamond: evaluation of the elastic moduli, Appl. Phys. Lett., 59, 1055-1057, 1991.
8. Stoddart, P.R., Comins, J.D., and Every, A.G., Brillouin-scattering measurements of surface-acoustic-wave velocities in silicon at high-temperatures, Phys. Rev. B, 51, 17574-17578, 1995.
9. Bottani, C.E., Li Bassi, A., and Kofman, R., Melting in metallic Sn nanoparticles studied by surface Brillouin scattering and synchrotron-x-ray diffraction, Phys. Rev. B, 59, R15601, 1999.
10. Zhang, X., Comins, J.D., Every, A.G., and Derry, T.E., Use of surface Brillouin scattering to examine a structural phase transition in carbon-ion-bombarded silicon during high-temperature annealing, Phys. Rev. B, 65, 012106, 2002.
11. Bassett, W.A., Dynamic measurements of elastic moduli of samples at high pressure and temperature, in Handbook of Elastic Properties of Solids, Liquids, and Gases. Volume I: Dynamic Methods for Measuring the Elastic Properties of Solids, Levy, M., Bass, H., Stern, R., and Keppens, V., Eds., Academic Press, New York, 2001, pp. 469-487.
12. Sandercock, J.R., Trends in Brillouin-scattering: studies of opaque materials, supported films, and central modes, in Light Scattering in Solids. III. Recent Results, Cardona, M. and Guntherodt, G., Eds., Springer-Verlag, Berlin, 1982, pp. 173-206.
13. Landau, L.D. and Lifshitz, E.M., Mechanics, 2nd ed., Pergamon Press, Oxford, New York, 1969.
14. Nye, J.F., Physical Properties of Crystals, Clarendon Press, Oxford, 1985.
15. Every, A.G., The elastic properties of solids: static and dynamic principles, in Handbook of Elastic Properties of Solids, Liquids, and Gases. Volume I: Dynamic Methods for Measuring the Elastic Properties of Solids, Levy, M., Bass, H., Stern, R., and Keppens, V., Eds., Academic Press, New York, 2001, pp. 3-36.
16. Comins, J.D., Surface Brillouin scattering, in Handbook of Elastic Properties of Solids, Liquids, and Gases. Volume 1 Dynamical Methods for Measuring the Elastic Properties of Solids, Levy, M., Bass, H., Stern, R., and Keppens, V., Eds., Academic Press, New York, 2001, pp. 349-378.
17. Loudon, R., Theory of surface-ripple Brillouin scattering by solids, Phys. Rev. Lett., 40, 581-583, 1978.
18. Loudon, R., Theory of lineshapes for normal-incidence Brillouin scattering by acoustic phonons, J. Phys. C: Solid State Phys., 11, 403-417, 1978.
19. Subbaswamy, K.R. and Maradudin, A.A., Photoelastic and surface-corrugation contribution to Brillouin scattering from an opaque crystal, Phys. Rev. B, 18, 4181-4199, 1978.
20. Loudon, R. and Sandercock, J.R., Analysis of the light-scattering cross section for surface ripples on solids, J. Phys. C: Solid State Phys.,13, 2609-2622, 1980.
21. Marvin, A.M., Bortolani, V., and Nizzoli, F., Surface Brillouin scattering from acoustic phonons. I. General theory, J. Phys. C: Solid State Phys., 13, 299-317, 1980.
22. Marvin, A.M., Bortolani, V., Nizzoli, F., and Santoro, G., Surface Brillouin scattering from acoustic phonons. II. Application to semiconductors, J. Phys. C: Solid State Phys., 13, 1607-1616, 1980.
23. Velasco, V.R. and Garcia-Moliner, F., Theory of surface waves in anisotropic cubic crystals, J. Phys. C: Solid St. Phys., 13, 2237-2256, 1980.
24. Rowell, N.L. and Stegeman, G.I., Theory of Brillouin scattering from opaque media, Phys. Rev. B, 18, 2598-2615, 1978.
25. Mills, D.L. and Subbaswamy, K.R., Surface and size effects on the light scattering spectra of solids, in Progress in Optics, Wolf, E., Ed., North Holland, Amsterdam, 1981, p. 45.
26. Zhang, X., Comins, J.D., Every, A.G., Stoddart, P.R., Pang, W., and Derry, T.E., Surface Brillouin scattering study of the surface excitations in amorphous silicon layers produced by ion bombardment, Phys. Rev. B, 58, 13677-13685, 1998.
27. Dil, J.G., Brillouin scattering in condensed matter, Rep. Prog. Phys., 45, 285-334, 1982.
28. Fedorov, F.I., Theory of Elastic Waves in Crystals, Plenum Press, New York, 1968.
29. Musgrave, M.J.P., Crystal Acoustics: Introduction to the Study of Elastic Waves and Vibrations in Crystals, Holden-Day, San Francisco, 1970.
30. Achenbach, J.D., Wave Propagation in Elastic Solids, North-Holland, Amsterdam, 1973.
31. Dieulesaint, E. and Royer, D., Elastic Waves in Solids: Applications to Signal Processing, John Wiley, Chichester, 1980.
32. Auld, B.A., Acoustic Fields and Waves in Solids, Robert E. Krieger Publishing Company, Malabar, FL, 1990.
33. Nayfeh, A.H., Wave Propagation in Layered Anisotropic Media: With Applications to Composites, Elsevier, Amsterdam, New York, 1995.
34. Rose, J.L., Ultrasonic Waves in Solid Media, Cambridge University Press, London, 1999.
35. Wolfe, J.P., Imaging Phonons: Acoustic Wave Propagation in Solids, Cambridge University Press, London, 1998.
36. Farnell, G.W., Properties of elastic surface waves, in Physical Acoustics, Mason, W.P. and Thurston, R.N., Eds., Academic Press, New York, 1970, pp. 109-166.
37. Hickernell, F.S., Surface acoustic wave technology: macrosuccess through microseisms, in Physical Acoustics, Thurston, R.N., Pierce, A.D., and Papadakis, E., Eds., Academic Press, New York, 1999, pp. 136-208.
38. Every, A.G., Pseudosurface wave structures in phonon imaging, Phys. Rev. B, 33, 2719-2732, 1986.
39. Stoneley, R., Elastic waves at the surface of separation of two solids, Proc. Roy. Soc., 106, 416-428, 1924.
40. Scholte, J.G., The range and existence of Rayleigh and Stoneley waves, Mon. Not. Roy. Astron. Soc., (Geophys. Suppl.) 5, 120-126, 1947.
41. Pilant, W.L., Complex roots of the Stoneley-wave equation, Bull. Seismol. Soc. Am., 62, 285-299, 1972.
42. Hillebrands, B., Lee, S., Stegeman, G.I., Cheng, H., Potts, J.E., and Nizzoli, F., A new class of guided longitudinal acoustic phonons in ZnSe films on GaAs found by surface Brillouin-scattering, Surf. Sci., 211, 387-393, 1989.
43. Farnell, G.W. and Adler, E.L., Elastic wave propagation in thin layers, in Physical Acoustics, Mason, W.P. and Thurston, R.N., Eds., Academic Press, New York, 1972, pp. 35-127.
44. Viktorov, I.A., Rayleigh and Lamb Waves: Physical Theory and Applications, Plenum Press, New York, 1967.
45. Grimsditch, M., Brillouin scattering, in Handbook of Elastic Properties of Solids, Liquids, and Gases. Volume I: Dynamical Methods for Measuring the Elastic Properties of Solids, Levy, M., Bass, H., Stern, R., and Keppens, V., Eds., Academic Press, New York, 2001.
46. Bortolani, V., Nizzoli, F., and Santoro, G., Surface density of acoustic phonons in GaAs, Phys. Rev. Lett., 41, 39-42, 1978.
47. Albuquerque, E.L., Loudon, R., and Tilley, D.R., Theory of normal incidence Brillouin scattering by acoustic phonons in a supported thin film, J. Phys. C: Solid State Phys., 12, 5297-5310, 1979.
48. Albuquerque, E.L., Theory of Brillouin scattering by Stoneley waves, J. Physics C: Solid St. Phys., 13, 2623-2639, 1980.
49. Albuquerque, E.L., Oliveros, M.C., and Tilley, D.R., Theory of Brillouin-scattering from an isotropic elastic film, J. Phys. C. Solid State Phys., 17, 1451-1463, 1984.
50. Bortolani, V., Marvin, A.M., Nizzoli, F., and Santoro, G., Theory of Brillouin scattering from surface acoustic phonons in supported films, J. Phys. C. Solid State Phys., 16, 1757-1776, 1983.
51. Byloos, C., Giovannini, L., and Nizzoli, F., Theory of the elasto optic coupling for surface Brillouin scattering in a supported bilayer, Phys. Rev. B, 51, 9867-9874, 1995.
52. Every, A.G., Surface Brillouin scattering mediated by the ripple mechanism, Unpublished, 1996.
53. Cottam, M.G. and Maradudin, A.A., Surface linear response functions, in Surface Excitations, Agranovich, V.M. and Loudon, R., Eds., Elsevier Science, London, 1984, pp. 5-193.
54. Byron, F.W. and Fuller, R.W., Mathematics of Classical and Quantum Physics, Dover Publications, New York, 1992, p. 248.
55. Nayfeh, A.H., The general problem of elastic wave propagation in multilayered anisotropic media, J. Acoust. Soc. Am., 89, 1521-1531, 1991.
56. Sklar, Z., Quantitative Acoustic Microscopy of Coated Materials, University of Oxford, 1993.
57. Zhang, X., Comins, J.D., Every, A.G., and Stoddart, P.R., Surface Brillouin scattering studies on vanadium carbide, Int. J. Refrac. Metals Hard Mater., 16, 303-308, 1998.
58. Every, A.G., Kim, K.Y., and Maznev, A.A., The elastodynamic response of semiinfinite anisotropic solid to sudden elastic surface loading, J. Acoust. Soc. Amer., 102, 1-10, 1997.
59. Malischewsky, P., Surface Waves and Discontinuities, Elsevier, Amsterdam, 1987.
60. Malischewsky, P.G., Comment to “ new formula for the velocity of Rayleigh waves” by D. Nkemzi, [Wave Motion, 26, 199-205, 1997], Wave Motion, 31, 93-96, 2000.
61. Royer, D., A study of the secular equation for Rayleigh waves using the root locus method, Ultrasonics, 39, 223-225, 2001.
62. Nkemzi, D., A new formula for the velocity of Rayleigh waves, Wave Motion, 26, 199-205, 1997.
63. Camley, R.E. and Nizzoli, F., Longitudinal resonance in surface acoustic phonons, J. Phys. C. Solid Stat. Phys., 18, 4795-4804, 1985.
64. Sandercock, J.R., Light scattering from surface acoustic phonons in metals and semiconductors, Solid State Commun., 26, 547-551, 1978.
65. Glass, N.E. and Maradudin, A.A., Leaky surface-elastic waves of both flat and strongly corrugated surfaces for isotropic, nondissipative media, J. Appl. Phys., 54, 796-805, 1983.
66. Mozhaev, V.G., Bosia, F., and Weihnacht, M., Types of leaky SAW degeneracy in crystals, in Proc. of 1998 IEEE Ultrasonics Symp., Levy, M., Schneider, S.C., and McAvoy, B.R., Eds., Institute of Electrical and Electronics Engineers, New York, 1998, pp. 143-148.
67. Rahman, N. and Barber, J.R., Exact expressions for the roots of the secular equation for Rayleigh waves, ASME J. Appl. Mech., 62, 250-252, 1995.
68. Krüger, J.K., Brillouin spectroscopy and its application to polymers, in Optical Techniques to Characterize Polymer Systems, Bassler Elsevier, Amsterdam, 1989.
69. Zouboulis, E.S., Grimsditch, M., Ramdas, A.K., and Rodriguez, S., Temperature dependence of the elastic moduli of diamond: a Brillouin-scattering study, Phys. Rev. B, 57, 2889-2896, 1998.
70. Vogelgesang, R., Ramdas, A.K., Rodriguez, S., Grimsditch, M., and Anthony, T.R., Brillouin and Raman scattering in natural and isotopically controlled diamond, Phys. Rev. B, 54, 3989-3999, 1996.
71. Chirita, M., Xia, H., Sooryakumar, R., Tolle, J.B., Torres, V.M., Wilkens, B.J., Smith, D.J., Kouvetakis, J., and Tsong, I.S.T., Elastic properties of nanocrystalline zirconium-silicon-boron thin films, J. Appl. Phys., 89, 4349-4353, 2001.
72. Djemia, P., Dugautier, C., Chauveau, T., Dogheche, E., De Barros, M.I., and Vandenbulcke, L., Mechanical properties of diamond films: A comparative study of polycrystalline and smooth fine-grained diamonds by Brillouin light scattering, J. Appl. Phys., 90, 3771-3779, 2001.
73. Fukui, M., Toda, O., So, V.C.Y., and Stegemann, G.I., Surface plasmon enhanced Brillouin scattering from metal films, Solid State Commun., 36, 995-1000, 1980.
74. Fukui, M., Toda, O., So, V.C.Y., and Stegemann, G.I., Enhanced Brillouin scattering involving surface plasmon polaritons, J. Phys. C, 14, 5591-5607, 1981.
75. Moretti, A.L., Robertson, W.M., Fisher, B., and Bray, R., Surface enhanced Brillouin scattering on silver films, Phys. Rev. B, 31, 3361-3368, 1985.
76. Robertson, W.M., Moretti, A.L., and Bray, R., Surface plasmon enhanced Brillouin scattering on silver films — double-resonance effect, Phys. Rev. B, 35, 8919-8928, 1987.
77. Rowell, N.L. and Stegeman, G.I., Brillouin scattering in thin film optical waveguides. II. Scattering theory, Can. J. Phys., 60, 1804-1820, 1982.
78. Krüger, J.K., Embs, J., Brierley, J., and Jimenez, R., A new Brillouin scattering technique for the investigation of acoustic and opto-acoustic properties: application to polymers, J. Phys. D: Appl. Phys., 31, 1913-1917, 1998.
79. Krüger, J.K., Embs, J., Lukas, S., Hartmann, U., Brierley, J., Beck, C.M., Jimenez, R., Alnot, P., and Durand, O., Spatial and angle distribution of internal stresses in nano-and microstructured chemical vapor deposited diamond as revealed by Brillouin spectroscopy, J. Appl. Phys., 87, 74-77, 2000.
80. Vaughan, J.M., The Fabry-Perot Interferometer, Adam Hilger, Bristol, U.K., 1989.
81. Sandercock, J.R., Brillouin scattering study of SbSI using a double-passed, stabilized scanning interferometer, Opt. Commun., 2, 73-76, 1970.
82. Sandercock, J.R., in Proc. 2nd Int. Conf. on Light Scattering in Solids, M. Balkanski, Ed., Flammarion, New York, 1971, pp. 9-12 and 219-223.
83. Sandercock, J.R., in Proc. VII Int. Conf. on Raman Spectroscopy, Ottawa 1980, W.F. Murphy, Ed., North Holland, Amsterdam, p. 364-367.
84. 84a. Dil, J.G. and Brody, E.M., Brillouin scattering from isotropic metals, Phys. Rev. B, 14, 5218-5227, 1976.
85. 84b. Lindsay, S. M., and Shepherd I. W., A high contrast multipass Fabry-Perot spectrometer, J. Phys. E: Sci. Instrum. 10, 150-154, 1977.
86. 84c. Dil, J.G. and van Hijningen, N.C.J., Brillouin scattering near a rigid interface, Phys. Rev. B, 22, 5924-5935, 1980.
87. 84d. Dil, J.G., van Hijningen, N.C.J., van Dorst, F., and Aarts, R.M., Tandem multipass Fabry-Perot interferometer for Brillouin scattering, Appl. Opt., 20, 1374-1381, 1981.
88. Lindsay, S.M., Anderson, M.W., and Sandercock, J.R., Construction and alignment of a high performance multipass vernier tandem Fabry-Perot interferometer, Rev. Sci. Instrum., 52, 1478-1486, 1981.
89. Hillebrands, B., Progress in multipass tandem Fabry-Perot interferometry: I. A fully automated, easy to use, self-aligning spectrometer with increased stability and flexibility, Rev. Sci. Instrum., 70, 1589-1598, 1999.
90. Vacher, R. and Pelous, J., Behavior of thermal phonons in amorphous media from 4 to 300 K, Phys. Rev. B, 14, 823-828, 1976.
91. Tanaka, H. and Sonehara, T., Superheterodyne light beating spectroscopy for Rayleigh-Brillouin scattering using frequency-tunable lasers, Rev. Sci. Instr., 73, 1998-2010, 2002.
92. Tanaka, H. and Sonehara, T., New method of superheterodyne light beating spectroscopy for Brillouin scattering using frequency-tunable lasers, Phys. Rev. Lett., 74, 1609-1612, 1995.
93. Stoddart, P.R., Crowhurst, J.C., Every, A.G., and Comins, J.D., Measurement precision in surface Brillouin scattering, J. Opt. Soc. Am. B, 15, 2481-2489, 1998.
94. Agarwal, G.S., Interaction of electromagnetic waves at rough dielectric surfaces, Phys. Rev. B, 15, 2371-2383, 1977.
95. Zhang, X., Sooryakumar, R., Every, A.G., and Manghnani, M.H., Observation of organ-pipe acoustic excitations in supported thin films, Phys. Rev. B, 64, 081402(R), 2001.
96. Vacher, R. and Boyer, L., Brillouin scattering: A tool for the measurement of elastic and photoelastic constants, Phys. Rev. B, 6, 639-673, 1972.
97. Fioretto, D., Carlotti, G., Socino, G., Modesti, S., Cepek, C., Giovannini, L., Donzelli, O., and Nizzoli, F., Brillouin-scattering determination of the elastic constants of epitaxial fcc C60 film, Phys. Rev. B, 52, R8707-R8710, 1995.
98. Lefeuvre, O., Pang, W., Zinin, P., Comins, J.D., Every, A.G., Briggs, G.A.D., Zeller, B.D., and E.T.G., Determination of the elastic properties of a barrier film on aluminium by Brillouin spectroscopy, Thin Solid Films, 350, 53-58, 1999.
99. Beghi, M.G., Bottani, C.E., and Pastorelli, R., High accuracy measurement of elastic constants of thin films by surface Brillouin scattering, in Mechanical Properties of Structural Films, Muhlstein, C. and Brown, S.B., American Society for Testing and Materials, Conshohoken, PA, 2001, pp. 109-126.
100. Comins, J.D., Every, A.G., Stoddart, P.R., Zhang, X., Crowhurst, J.C., and Hearne, G.R., Surface Brillouin scattering of opaque solids and thin supported films, Ultrasonics, 38, 450-458, 2000.
101. Zhang, X., Stoddart, P.R., Comins, J.D., and Every, A.G., High-temperature elastic properties of a nickel-based superalloy studied by surface Brillouin scattering, J. Phys. Condens. Matter., 13, 2281-2294, 2001.
102. Makarov, S., Chilla, E., and Frolich, H.J., Determination of elastic constants of thin films from phase velocity dispersion of different surface acoustic wave modes, J. Appl. Phys., 78, 5028-5034, 1995.
103. Beghi, M.G., Ferrari, A.C., Bottani, C.E., Libassi, A., Tanner, B.K., Teo, K.B.K., and Robertson, J., Elastic constants and structural properties of nanometrethick diamond-like carbon films, Diamond Relat. Mater., 11, 1062-1067, 2002.
104. Nizzoli, F., Bhadra, R., Delima, O.F., Brodsky, M.B., and Grimsditch, M., Problems with the determination of elastic constants from higher order surface waves: results for Al on NaCl, Phys. Rev. B, 37, 1007-1010, 1988.
105. Lee, S., Hillebrands, B., Stegeman, G.I., Cheng, H., Potts, J.E., and Nizzoli, F., Elastic properties of epitaxial ZnSe(001) films on GaAs measured by Brillouin spectroscopy, J. Appl. Phys., 63, 1914-1916, 1988.
106. Beghi, M.G., Bottani, C.E., Ossi, P.M., Lafford, T.A., and Tanner, K., Combined surface Brillouin scattering and x-ray reflectivity characterization of thin metallic films, J. Appl. Phys., 81, 672-678, 1997.
107. Crowhurst, J.C., Hearne, G.R., Comins, J.D., Every, A.G., and Stoddart, P.R., Surface Brillouin scattering at high pressure: Application to a thin supported gold film, Phys. Rev. B, 60, R14990-R14993, 1999.
108. Zinin, P., Manghnani, M.H., Tkachev, S., Askarpour, V., Lefeuvre, O., and Every, A., Brillouin spectroscopy of surface in thin film Si3N4 on GaAs, Phys. Rev. B, 60, 2844-2850, 1999.
109. Manghnani, M.H., Tkachev, S., Zinin, P.V., Zhang, X., Brazhkin, V.V., Lyapin, A.G., and Trojan, I.A., Elastic properties of superhard amorphous carbon pressure synthesized from C60 by surface Brillouin scattering, Phys. Rev. B, 6412 (12), 121403, 2001.
110. Chirita, M., Sooryakumar, R., Xia, H., Monteiro, O.R., and Brown, I.G., Observation of guided longitudinal acoustic modes in hard supported layers, Phys. Rev. B, 60 (8), 5153-5156, 1999.
111. Ferrari, A.C., Robertson, J., Beghi, M.G., Bottani, C.E., Ferulano, R., and Pastorelli, R., Elastic constants of tetrahedral amorphous carbon films by surface Brillouin scattering, Appl. Phys. Lett., 75, 1893-1895, 1999.
112. Beghi, M.G., Ferrari, A.C., Teo, K.B.K., Robertson, J., Bottani, C.E., Libassi, A., and Tanner, B.K., Bonding and mechanical properties of ultrathin diamondlike carbon films, Appl. Phys. Lett., 81, 3804-3806, 2002.
113. Kim, J.O., Achenbach, J.D., Mirkarimi, P.B., Shinn, M., and Barnett, S.A., Elastic constants of single-crystal transition-metal nitride films measured by line-focus acoustic microscopy, J. Appl. Phys., 72, 1805-1811, 1992.
114. Nizzoli, F., Hillebrands, B., Lee, S., Stegeman, G.I., Duda, G., Wegner, G., and Knoll, W., Determination of the whole set of elastic-constants of a polymeric Langmuir-Blodgett film by Brillouin spectroscopy, Phys. Rev. B, 40, 3323-3328, 1989.
115. Ghislotti, G. and Bottani, C.E., Brillouin scattering from shear horizontal surface phonons in silicon-on-insulator structures: theory and experiment, Phys. Rev. B, 50, 12131-12137, 1994.
116. Casari, C.S., LiBassi, A., Bottani, C.E., Barborini, E., Piseri, P., Podesta, A., and Milani, P., Acoustic phonon propagation and elastic properties of cluster-assembled carbon films investigated by Brillouin light scattering, Phys. Rev., 64, 085417, 2001.
117. Lee, S.A. and Lindsay, S.M., Surface Brillouin scattering from graphite, Phys. State Solid, B, 157, K 83-K 86, 1990.
118. 8+delta single-crystals using Brillouin light scattering, Physica C, 179, 101-106, 1991.
119. Wittkowski, T., Jorzick, J., Jung, K., and Hillebrands, B., Elastic properties of thin h-BN films investigated by Brillouin light scattering, Thin Solid Films, 353, 137-143, 1999.
120. Grimsditch, M., Bhadra, R., and Schuller, I.K., Lamb waves in unsupported thin films: a Brillouin scattering study, Phys. Rev. Lett., 58, 1216-1219, 1987.
121. Pastorelli, R., Tarantola, S., Beghi, M.G., Bottani, C.E., and Saltelli, A., Design of surface Brillouin scattering experiments by sensitivity analysis, Surf. Sci., 468, 37-50, 2000.
122. Bortolani, V., Nizzoli, F., Santoro, G., and Sandercock, J.R., Strong interference effects in surface Brillouin scattering from a supported transparent film, Phys. Rev. B, 25, 3442-3445, 1982.
123. Murugavel, P., Narayana, C., Govindaraj, A., Sood, A.K., and Rao, C.N.R., Brillouin scattering from C70 and C60 films: a comparative study of elastic properties, Chem. Phys. Lett., 331, 149-153, 2000.
124. Blank, V.D., Buga, S.G., Serebryanaya, N.R., Dubitsky, G.A., Mavrin, B.N., Popov, M.Y., Bagramov, R.H., Prokhorov, V.M., Sulyanov, S.N., Kulniskiy, B.A., and Tatyanin, Y.V., Structures and physical properties of superhard and ultrahard 3D polymerized fullerites created from solid C60 by high pressure high temperature treatment, Carbon, 36, 665-670, 1998.
125. Pastorelli, R., Ossi, P.M., Bottani, C.E., Checchetto, R., and Miotello, A., Elastic constants of cubic boron nitride films, Appl. Phys. Lett., 77, 2168-2170, 2000.
126. Mirkarimi, P.B., McCarty, K.F., and Medlin, D.L., Review of advances in cubic boron nitride film synthesis, Mater. Sci. Eng., R21, 47-100, 1997.
127. Sussner, H., Pelous, J., Schmidt, M., and Vacher, R., Brillouin scattering from surface waves on Al-coated transparent media, Solid State Commun., 36, 123-125, 1980.
128. Aleksandrov, V.V., Gladkevitch, A., Mozhaev, V.G., Giovannini, L., and Nizzoli, F., Brillouin scattering study of the pseudosurface acoustic mode on the (110) face of cubic-crystals having elastic anisotropy ratio above unity, J. Appl. Phys., 76, 2176-2180, 1994.
129. Mendik, M., Sathish, S., Kulik, A., Gremaud, G., and Wachter, P., Surface acoustic wave studies on single crystal nickel using Brillouin scattering and scanning acoustic microscope, J. Appl. Phys., 71, 2830-2834, 1992.
130. Mendik, M. and Sathish, S., Response to comment on Surface acoustic wave studies on single crystal nickel using Brillouin scattering and scanning acoustic microscope [J. Appl. Phys., 75, 5459, 1994], J. Appl. Phys., 75 (10 Pt1), 5461-5462, 1994.
131. Briggs, A., Acoustic Microscopy, Clarendon Press, Oxford, 1992
132. Maznev, A.A. and Every, A.G., Secluded supersonic surface waves in germanium, Phys. Lett. A, 197, 423-427, 1995.
133. Zuk, J., Kiefte, H., and Clouter, M.J., Brillouin scattering study of surface acoustic waves in crystalline GaP, J. Appl. Phys., 72, 3504-3508, 1992.
134. Kuok, M.H., Ng, S.C., and Zhang, V.L., A Brillouin study of the angular dispersion of generalized surface and pseudosurface acoustic waves on the (001) surface of InSb, Appl. Phys. Lett., 77, 1296, 2000.
135. Kuok, M.H., Ng, S.C., and Zhang, V.L., Angular dispersion of surface acoustic waves on (001), (110), and (111) GaAs, J. Appl. Phys., 89, 7899-7902, 2001.
136. Kuok, M.H., Ng, S.C., and Liu, T., Brillouin scattering from pseudo surface acoustic waves in (111) silicon, Solid State Commun., 110, 185, 1999.
137. Lim, T.C. and Farnell, G.W., Character of pseudo surface waves on anisotropic crystals, J. Acoust. Soc. Am., 45, 845-851, 1969.
138. Jiang, X., Zhou, J.W., Reichelt, K., and Gruenberg, P., The study of mechanical properties of a-C:H films by Brillouin scattering and ultralow load indentation, J. Appl. Phys., 66, 4729-4735, 1990.
139. Every, A.G. and Sachse, W., Sensitivity of inversion algorithms for recovering elastic constants of anisotropic solids from longitudinal wavespeed data, Ultrasonics, 30, 43-48, 1992.
140. Yoshihara, A., Fujimura, T., Oka, Y., Fujisaki, H., and Shirotani, I., Surface Brillouin scattering in black phosphorus, Phys. Rev. B, 34, 7467-7470, 1986.
141. Carlotti, G., Fioretto, D., Socino, G., and Verona, E., Brillouin-scattering determination of the whole set of elastic constants of a single transparent film of hexagonal symmetry, J. Phys.: Condens. Mater., 7, 9147-9153, 1995.
142. Ohring, M., The Materials Science of Thin Films, Academic Press, Boston, 1992.
143. Bhadra, R., Grimsditch, M., Schuller, I. K., and Nizzoli, F., Brillouin scattering from unsupported Al films, Phys. Rev. B, 39, 12456-12459, 1989.
144. Tiersten, H.F., Elastic surface waves guided by thin films, J. Appl. Phys., 40, 770-789, 1969.
145. Bortolani, V., Nizzoli, F., Santoro, G., Marvin, A.M., and Sandercock, J. R., Brillouin scattering from surface phonons in Al-coated semiconductors, Phys. Rev. Lett., 43, 224-227, 1978.
146. Hillebrands, B., Baumgart, P., Mock, R., Guntherodt, G., and Bechthold, P.S., Dispersion of localized elastic modes in thin supported gold layers measured by Brillouin-scattering, J. Appl. Phys., 58, 3166-3168, 1985.
147. Karanikas, J.M., Sooryakumar, R., and Phillips, J.M., Dispersion of elastic waves in supported CaF2 Films, J. Appl. Phys., 65, 3407-3410, 1989.
148. Carlotti, G., Socino, G., and Verona, E., Investigation of elastic properties of ZnO films by Brillouin scattering, J. Appl. Phys., 65, 1370-1372, 1989.
149. Sun, L., Dutcher, J.R., Giovannini, L., Nizzoli, F., Stevens, J.R., and Ord, J.L., Elastic and elasto-optic properties of thin-films of poly(styrene) spin-coated onto Si(001), J. Appl. Phys., 75, 7482-7488, 1994.
150. Lefeuvre, O., Characterisation of stiffening layers by acoustic microscopy and Brillouin spectroscopy, D. Phil. thesis, University of Oxford, 1998.
151. Bortolani, V., Nizzoli, F., and Santoro, G., Brillouin scattering at interfaces and long wave-length acoustic phonons, J. De Physique, 45, 45-53, 1984.
152. Bell, J.A., Zanoni, R., Seaton, C.T., Stegeman, G.I., Makous, J., and Falco, C.M., Elastic constants of, and Stonely waves in, molybdenum films measured by Brillouin scattering, Appl. Phys. Lett., 52, 610-612, 1988
153. Jorna, R., Visser, D., Bortolani, V., and Nizzoli, F., Elastic and vibrational properties of nickel films measured by surface Brillouin scattering, J. Appl. Phys., 65, 718-725, 1989.
154. Liu, A.Y. and Cohen, M.L., Prediction of new low compressibility solids, Science, 245, 841-842, 1989.
155. Pang, W., Stoddart, P.R., Comins, J.D., Every, A.G., Pietersen, D., and Marais, P.J., Elastic properties of TiN hard films at room and high temperatures using Brillouin scattering, Int. J. Refrac. Metals Hard Mater., 15, 179-185, 1997.
156. Lefeuvre, O., Zinin, P., and Briggs, G.A.D., Leaky surface waves propagating on a fast on slow system and the implications for material characterization, Ultrasonics, 36, 229-232, 1998.
157. Lefeuvre, O., Zinin, P., Briggs, G.A.D., and Every, A., Surface wave dispersion beyond cutoff for a fast layer on a slow substrate, Appl. Phys. Lett., 72, 856-857, 1998.
158. Wittkowski, T., Cortina, P., Jorzick, J., Jung, K., and Hillebrands, B., Brillouin light scattering from surface phonons in hexagonal and cubic boron nitride films, Diamond Relat. Mater., 9, 1957-1964, 2000.
159. Zinin, P., Manghnani, M.H., Zhang, X., Feldermann, H., Ronning, C., and Hofsass, H., Surface Brillouin scattering of cBN films, J. Appl. Phys., 91, 4196-4204, 2002.
160. Pang, W., Every, A.G., Comins, J.D., Stoddart, P.R., and Zhang, X., Brillouin scattering from acoustic excitations in TiN films on high speed steel — A stiffening system, J. Appl. Phys., 86, 311-317, 1999.
161. Hickernell, T.S., Fliegel, F.M., and Hickernell, F.S., The elastic properties of thinfilm siliconnitride, in Proc. IEEE 1990 Ultrasonics Symp., McAvoy, B.R., Ed., Institute of Electrical and Electronics Engineers, New York, 1990, pp. 445-449.
162. Subramanian, S., Sooryakumar, R., Prinz, G.A., Jonker, B.T., and Idzerda, Y.U., Elastic constants of body-centered cubic cobalt films, Phys. Rev. B, 49, 17319-17324, 1994.
163. Lefeuvre, O., Kolosov, O.V., Every, A.G., Briggs, G.A.D., and Tsukahara, Y., Elastic measurements of layered nanocomposite materials by Brillouin spectroscopy, Ultrasonics, 38, 459-465, 2000.
164. Grimsditch, M., Effective elastic constants of superlattices, Phys. Rev. B, 31, 6818-6819, 1985.
165. Grimsditch, M. and Nizzoli, F., Effective elastic constants of superlattices of any symmetry, Phys. Rev. B, 33, 5891-5892, 1986.
166. Bell, J.A., Bennett, W.R., Zanoni, R., Stegeman, G.I., Falco, C.M., and Nizzoli, F., Elastic constants of Mo/Ta superlattices measured by Brillouin scattering, Phys. Rev. B, 35, 4127-4130, 1987.
167. Osetrov, A.V., Frohlich, H.J., Koch, R., and Chilla, E., Acoustoelastic effect in anisotropic layered structures, Phys. Rev. B, 62, 13963, 2000.