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Reflection of Bounded Wave Beams

  • Leonid M. Brekhovskikh
  • Oleg A. Godin
Part of the Springer Series on Wave Phenomena book series (SSWAV, volume 10)

Abstract

Reflection of plane waves at layered media was thoroughly discussed in [2.1]. A plane wave is, however, an ideal object. In applied problem we encounter, usually, cases of more or less bounded wave beams. We shall treat the reflection of such beams by representing them as superpositions of plane waves — the method which was used in the previous chapter for spherical waves. Numerous works [2.2–18] were devoted to the problem of propagation and reflection of wave beams. The text below is based on our works [2.19–21].

Keywords

Reflection Coefficient Incident Beam Gaussian Beam Total Reflection Grazing Angle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 2.1
    L.M. Brekhovskikh, O.A. Godin: Acoustics of Layered Media. 1: Plane and Quasi-Plane Waves, Springer Ser. Wave Phenom., Vol. 5 (Springer, Berlin, Heidelberg 1990)CrossRefGoogle Scholar
  2. 2.2
    M.A. Breazeale, L. Adler, J.H. Smith: Akust. Zh. 21, 1–10 (1975) [English transl.: Sov. Phys. Acoust. 21, 1–6 (1975)]Google Scholar
  3. 2.3
    A.L. Gutman: Radiotekh. Electron. 27, 1073–1081 (1982)ADSGoogle Scholar
  4. 2.4
    N.N. Pun’ko, V.V. Filippov: Opt. Spektrosk. 58, 125–129 (1985)ADSGoogle Scholar
  5. 2.5
    H.L. Bertoni, T. Tamir: Appl. Phys. 2, 157–172 (1973)ADSCrossRefGoogle Scholar
  6. 2.6
    JJ. Cowan, B. Anicm: J. Opt. Soc. Am. 67, 1307–1314 (1977)ADSCrossRefGoogle Scholar
  7. 2.7
    B.R. Horowitz, T. Tamir: J. Opt. Soc. Am. 61, 586–594 (1971)ADSCrossRefGoogle Scholar
  8. 2.8
    H.K.V. Lotsch: Optik 32, 116–137, 189–204, 299–319, 553–568 (1970/71)Google Scholar
  9. 2.9
    J. Pott, J.G. Harris: J. Acoust. Soc. Am. 76, 1829–1838 (1984)ADSCrossRefMATHGoogle Scholar
  10. 2.10
    J.W. Ra, H.L. Bertoni, L.B. Felsen: SIAM J. Appl. Math. 24, 396–413 (1973)CrossRefMATHGoogle Scholar
  11. 2.11
    H. Schmidt, F.B. Jensen: J. Acoust. Soc. Am. 77, 813–825 (1985)ADSCrossRefMATHGoogle Scholar
  12. 2.12
    A. Schoch: Acustica 2, 1–16 (1952)Google Scholar
  13. 2.13
    A. Schoch: Acustica 2, 18–19 (1952)Google Scholar
  14. 2.14
    K. Yasumoto, Y. Oishi: J. Appl. Phys. 54, 2170–2176 (1983)ADSCrossRefGoogle Scholar
  15. 2.15
    T.G. Muir, C.W. Horton, L.A. Tompson: J. Sound Vibr. 64, 539–551 (1979)ADSCrossRefGoogle Scholar
  16. 2.16
    J.Naze Tj0tta, H. Sagen, S. Tjtta: J. Acoust. Soc. Am. 85, 24–38 (1989)Google Scholar
  17. 2.17
    N.S. Bukhman, A.L. Gutman: Zh. Tekh. Fiz. 57, 163–165 (1987) [English transl.: Sov. Phys.-Tech. Phys. 32, N1 (1987)]Google Scholar
  18. 2.18
    Y.Z. Ruan, L.B. Felsen: J. Opt. Soc. Am. A3, 566–579 (1989)ADSGoogle Scholar
  19. 2.19
    L.M. Brekhovskikh: Usp. Fiz. Nauk 50, 539–576 (1953)Google Scholar
  20. 2.20
    O.A. Godin: Zh. Tekh. Fiz. 54, 2094–2104 (1984);Google Scholar
  21. 2.20a
    O.A. Godin: Zh. Tekh. Fiz. 55, 17–25 (1985) [English transl.: Sov. Phys.-Tech.Phys. 29, 1232–1237 (1984);Google Scholar
  22. 2.20a
    O.A. Godin: Zh. Tekh. Fiz. 30, 9–13 (1985)]Google Scholar
  23. 2.21
    O.A. Godin: Akust. Zh. 31, 31–36 (1985) [English transl.: Sov. Phys. Acoust. 31, 18–21 (1985)]Google Scholar
  24. 2.22
    V.L. Ginzburg: Electromagnetic Waves Propagation in Plasmas, 2nd ed. (Pergamon, New York 1970)Google Scholar
  25. 2.23
    F. Goos, H. Hänchen: Ann. Phys. (Leipzig) 1, 333–346 (1947)ADSGoogle Scholar
  26. 2.24
    F. Goos, H. Hänchen: Ann. Phys. (Leipzig) 5, 251–252 (1949)ADSGoogle Scholar
  27. 2.25
    A. Puri, J.L. Birman: J. Opt. Soc. Am. A3, 543–549 (1986)ADSCrossRefGoogle Scholar
  28. 2.26
    T. Kundu: J. Acoust. Soc. Am. 83, 18–24 (1988)ADSCrossRefGoogle Scholar
  29. 2.27
    T. Kundu, A.K. Mal, R.D. Weglein: J. Acoust. Soc. Am. 77, 353–361 (1985)ADSCrossRefGoogle Scholar
  30. 2.28
    O.C. de Beauregard, C. Imbert, Y. Levy: Phys. Rev. D15, 3553–3562 (1977)ADSCrossRefGoogle Scholar
  31. 2.29
    J.M. Clayes, O. Leroy: J. Acoust. Soc. Am. 72, 585–590 (1982)ADSCrossRefGoogle Scholar
  32. 2.30
    A.H. Nayfeh, D.E. Chimenti: J. Acoust. Soc. Am. 75, 1360–1368 (1984)ADSCrossRefGoogle Scholar
  33. 2.31
    Yu.B. Sviridov: Akust. Zh. 21, 618–622 (1975) [English transl.: Sov. Phys. Acoust. 21, N4 (1975)]Google Scholar
  34. 2.32
    Yu.B. Sviridov: Akust. Zh. 29, 715–716 (1983) [English transl.: Sov. Phys. Acoust. 29 N5 (1983)]Google Scholar
  35. 2.33
    T. Tamir, H.L. Bertoni: J. Opt. Soc. Am. 61, 1397–1413 (1971)ADSCrossRefGoogle Scholar
  36. 2.34
    V. Shah, T. Tamir: J. Opt. Soc. Am. 73, 37–44 (1983)ADSCrossRefGoogle Scholar
  37. 2.35
    TJ. Plona, L.E. Pitts, M.G. Mayer: J. Acoust. Soc. Am. 59, 1324–1328 (1976)ADSCrossRefGoogle Scholar
  38. 2.36
    C.W. Hsue, T. Tamir: J. Opt. Soc. Am. A2, 978–988 (1985)ADSCrossRefGoogle Scholar
  39. 2.37
    D.E. Chimenti, A.H. Nayfeh: J. Acoust. Soc. Am. 85, 555–560 (1989)ADSCrossRefGoogle Scholar
  40. 2.38
    M. Abramovitz, I.A. Stegun (eds.): Handbook of Mathematical Functions with Formulas, Graphs and Tables, Appl. Math. Ser. Vol. 55 (National Bureau of Standards, Washington 1964)Google Scholar
  41. 2.39
    J.CP. Miller: Tables of Weber Parabolic Cylinder Functions (Her Majesty’s Stationery Office, London 1955)MATHGoogle Scholar
  42. 2.40
    B.R. Horowitz, T. Tamir: Appl. Phys. 1, 31–38 (1973)ADSCrossRefGoogle Scholar
  43. 2.41
    T. Tamir: Optik 36, 209–232 (1972)Google Scholar
  44. 2.42
    A. Puri, D.N. Pattanayak, J.L. Birman: Phys.Rew. B28, 5877–5886 (1983)ADSCrossRefGoogle Scholar
  45. 2.43
    H.M. Lai, F.C. Cheng, U.K. Tang: J. Opt. Soc. Am. A3, 550–557 (1986)ADSCrossRefGoogle Scholar
  46. 2.44
    M. Green, P. Kirkby, R.S. Timsit: Phys. Lett. 45A, 259–260 (1973)ADSGoogle Scholar
  47. 2.45
    W.S. Wladimirov: Gleichungen der Mathematischen Physik (Deutscher Verlag der Wissenschaften, Berlin 1972)Google Scholar
  48. 2.46
    V. Akylas, J. Kaur, T.M. Knasel: Appl. Optics 13, 742–743 (1974)ADSCrossRefGoogle Scholar
  49. 2.47
    R.H. Renard: J. Opt. Soc. Am. 54, 1190–1197 (1964)ADSCrossRefGoogle Scholar
  50. 2.48
    H.K.V. Lotsch: J. Opt. Soc. Am. 58, 551–561 (1968)ADSCrossRefGoogle Scholar
  51. 2.49
    M. McGuirk, CK. Carniglia: J. Opt. Soc. Am. 67, 103–107 (1977)ADSCrossRefGoogle Scholar
  52. 2.50
    DJ. Rhodes, CK. Carniglia: J. Opt. Soc. Am. 67, 679–4583 (1977)ADSCrossRefGoogle Scholar
  53. 2.51
    A. Kodre, J. Strand: J. Opt. Soc. Am. 64, 1722–1723 (1974)CrossRefGoogle Scholar
  54. 2.52
    B.A. Anicin, R. Fazlic, M. Kopric: J. Phys. A11, 1657–1662 (1978)ADSGoogle Scholar
  55. 2.53
    R.G. Turner: Aust. J. Phys. 33, 319 (1980)ADSGoogle Scholar
  56. 2.54
    CK. Carniglia: J. Opt. Soc. Am. 66, 1425 (1976)ADSCrossRefGoogle Scholar
  57. 2.55
    L. Agudin: Phys. Rev. 171, 1385–1387 (1968)ADSCrossRefGoogle Scholar
  58. 2.56
    O.A. Godin, I.V. Prokopyuk: Akust. Zh. 31, 178–185 (1985) [English transl.: Sov. Phys. Acoust. 31, 103–107 (1985)]Google Scholar
  59. 2.57
    C.K. Carniglia, K.R. Brownstein: J. Opt. Soc. Am. 67, 121–122 (1977)ADSCrossRefGoogle Scholar
  60. 2.58
    R.P. Riesz, R. Simon: J. Opt. Soc. Am. A2, 1809–1817 (1985)ADSCrossRefGoogle Scholar
  61. 2.59
    H.L. Bertoni, C.W. Hsue, T. Tamir: Trait. Sign. 2, 201–205 (1985)Google Scholar
  62. 2.60
    T. Tamir: J. Opt. Soc. Am. A3, 558–565 (1986)ADSCrossRefGoogle Scholar
  63. 2.61
    P.B. Nagy, K. Cho, L. Adler, D.E. Chimenti: J. Acoust. Soc. Am. 81, 835–839 (1987)ADSCrossRefGoogle Scholar
  64. 2.62
    Y.M. Antar, W.M. Boerner: Can. J. Phys. 52, 962–972 (1974)ADSGoogle Scholar
  65. 2.63
    I.A. White, A.W. Snyder, C Pask: J. Opt. Soc. Am. 67, 703–705 (1977)ADSCrossRefGoogle Scholar
  66. 2.64
    C.C. Chan, T. Tamir: Opt. Lett. 10, 378–380 (1985)ADSCrossRefGoogle Scholar
  67. 2.65
    J. Naze Tjøtta, S. Tjøtta: J. Acoust. Soc. Am. 69, 998–1008 (1981)ADSCrossRefMATHGoogle Scholar
  68. 2.66
    F.B. Jensen, H. Schmidt: J. Acoust. Soc. Am. 82, 574–579 (1987)ADSCrossRefGoogle Scholar
  69. 2.67
    J. Navasquillo, V. Such, F. Pomer: J. Opt. Soc. Am. A6, 1522–1528 (1989)ADSCrossRefGoogle Scholar
  70. 2.68
    F.I. Fedorov: Dokl. Akad. Nauk SSSR. 105, 465–468 (1955)MathSciNetMATHGoogle Scholar
  71. 2.69
    D.G. Boulware: Phys. Rev. D7, 2375–2382 (1973)Google Scholar
  72. 2.70
    J.P. Hugonin, R. Petit: J. Optics 8, 73–87 (1977)ADSCrossRefGoogle Scholar
  73. 2.71
    Y. Levy, C Imbert: Opt. Comm. 13, 43–47 (1975)ADSCrossRefGoogle Scholar
  74. 2.72
    N. Ashby, S.C. Miller: Phys. Rev. D7, 2383–2389 (1973)Google Scholar
  75. 2.73
    C Imbert: Phys. Rev. D5, 787–796 (1972)ADSGoogle Scholar
  76. 2.74
    S. Sasaki: Jpn. J. Appl. Phys. 2, 198 (1963)ADSCrossRefGoogle Scholar
  77. 2.75
    O.I. Diachok, W.G. Mayer: J. Acoust. Soc. Am. 47, 155–157 (1970)ADSCrossRefGoogle Scholar
  78. 2.76
    A.N. Norris: J. Acoust. Soc. Am. 73, 427–434 (1983)MathSciNetADSCrossRefMATHGoogle Scholar
  79. 2.77
    T.D.K. Ngoc, W.G. Mayer: J. Acoust. Soc. Am. 75, 186–188 (1984)ADSCrossRefGoogle Scholar
  80. 2.78
    H.C. Kim, S.D. Kwon: J. Acoust. Soc. Am. 78, 1384–1386 (1985)ADSCrossRefGoogle Scholar
  81. 2.79
    A.N. Norris: J. Acoust. Soc. Am. 76, 621–629 (1984)MathSciNetADSCrossRefGoogle Scholar
  82. 2.80
    L. Adler, M. de Billy, G. Quentin: J. Acoust. Soc. Am. 72, 1018–1020 (1982)ADSCrossRefGoogle Scholar
  83. 2.81
    L. Adler, S.-W. Wang, K. Bolland, M. de Billy, G. Quentin: J. Acoust. Soc. Am. 77, 1950–1953 (1985)ADSCrossRefGoogle Scholar
  84. 2.82
    P.B. Nagy, L. Adler: J. Acoust. Soc. Am. 85, 1355–1357 (1989)ADSCrossRefGoogle Scholar
  85. 2.83
    W. Finney: J. Acoust. Soc. Am. 20, 265 (1948)Google Scholar
  86. 2.84
    L.M. Lyamshev: Otrazheniye Zvuka Tonkimi Plastinkami i Obolochkami v Zhidkosti (Sound reflection by thin plates and shells in a fluid) (Izd. AN SSSR, Moscow 1955)Google Scholar
  87. 2.85
    L.M. Lyamshev, S.N. Rudakov: Akust. Zh. 2, 228–230 (1956)Google Scholar
  88. 2.86
    N. Gespa: Diffusion Acoustique par des Cibles Elastiques de Forme Géometrique Simple (CE-DOCAR, Paris 1987)MATHGoogle Scholar
  89. 2.87
    V.M. Merkulova: Akust. Zh. 18, 478–480 (1972) [English transl.: Sov. Phys. Acoust. 18, N3 (1972)]Google Scholar
  90. 2.88
    L. Adler, M. de Billy, GJ. Quentin: J. Appl. Phys. 53, 8756–8758 (1982)ADSCrossRefGoogle Scholar
  91. 2.89
    M. Rousseau, Ph. Gatignol: J. Acoust. Soc. Am. 80, 325–332 (1986)ADSCrossRefGoogle Scholar
  92. 2.90
    A.V. Arapov, V.S. Goncharov, LB. Yakovkin: Akust. Zh. 32, 238–241 (1986) [English transl.: Sov. Phys. Acoust. 32, 140–142 (1986)]Google Scholar
  93. 2.91
    M. de Billy, I. Molinero: J. Acoust. Soc. Am. 83, 1249–1254 (1988)ADSCrossRefGoogle Scholar
  94. 2.92
    M.A. Breazeale, L. Adler, G.W. Scott: J. Appl. Phys. 48, 530–537 (1977)ADSCrossRefGoogle Scholar
  95. 2.93
    J.G. Harris, J. Pott: J. Acoust. Soc. Am. 78, 1072–1080 (1985)ADSCrossRefMATHGoogle Scholar
  96. 2.94
    TJ. Plona, M. Behravesh, W.G. Mayer: J. Acoust. Soc. Am. 56, 1773–1775 (1974)ADSCrossRefGoogle Scholar
  97. 2.95
    L.M. Lyamshev, N.S. Shevyakhov: Akust. Zh. 21, 951–952 (1975) [English transl.: Sov. Phys. Acoust. 21, N6 (1975)]Google Scholar
  98. 2.96
    T.D.K. Ngoc, W.G. Mayer: J. Acoust. Soc. Am. 67, 1149–1152 (1980)ADSCrossRefMATHGoogle Scholar
  99. 2.97
    N.P. Yegorova, O.A. Tryet’yakov: Radiotekh. Electron. 29, 207–214 (1984)Google Scholar
  100. 2.98
    L.M. Brekhovskikh: Waves in Layered Media, 2nd ed. (Academic, New York 1980)MATHGoogle Scholar
  101. 2.99
    C.T. Tindle, G.B. Deane: J. Acoust. Soc. Am. 78, 1366–1374 (1985)ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Leonid M. Brekhovskikh
    • 1
  • Oleg A. Godin
    • 1
  1. 1.P. P. Shirshov Institute of OceanologyRussian Academy of SciencesMoscowRussia

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