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Volumn 91, Issue 2, 1992, Pages 744-770

A scattering model for nondifferentiable periodic surface roughness

Author keywords

[No Author keywords available]

Indexed keywords

ICE; SEA WATER;

EID: 0026687601     PISSN: 00014966     EISSN: NA     Source Type: Journal    
DOI: 10.1121/1.402536     Document Type: Article
Times cited : (12)

References (91)
  • 1
    • 84986263980 scopus 로고
    • CRREL Monograph 82-1 (Cold Regions Research and Engineering Laboratory, Hanover, NH,).
    • W. F. Weeks and S. F. Ackley, “The growth, structure and properties of sea ice, “ CRREL Monograph 82-1 (Cold Regions Research and Engineering Laboratory, Hanover, NH, 1982).
    • (1982) The growth, structure and properties of sea ice
    • Weeks, W.F.1    Ackley, S.F.2
  • 2
    • 0001011275 scopus 로고
    • Preferred crystal orientations in the fast ice along the margins of the Arctic Ocean
    • W. F. Weeks and A. J. Gow, “Preferred crystal orientations in the fast ice along the margins of the Arctic Ocean, “ J. Geophys. Res. 83, 5105-5121 (1978).
    • (1978) J. Geophys. Res. , vol.83 , pp. 5105-5121
    • Weeks, W.F.1    Gow, A.J.2
  • 3
    • 67651185455 scopus 로고
    • The electrical anisotropy of sea ice in the horizontal plane
    • K. J. Campbell and A. S. Orange, “The electrical anisotropy of sea ice in the horizontal plane, “ J. Geophys. Res. 79, 5059-5063 (1974).
    • (1974) J. Geophys. Res. , vol.79 , pp. 5059-5063
    • Campbell, K.J.1    Orange, A.S.2
  • 4
    • 84945108214 scopus 로고
    • (in Russian) Tr. Arkt. Antarkt. Nauchno. Issled. Instit.
    • N. V. Cherpanov, “Structure of sea ice of great thickness, “ (in Russian) Tr. Arkt. Antarkt. Nauchno. Issled. Instit. 267, 13-18 (1964).
    • (1964) Structure of sea ice of great thickness , vol.267 , pp. 13-18
    • Cherpanov, N.V.1
  • 5
    • 0014849537 scopus 로고
    • Reflection of sound at the water-sea ice interface
    • M. P. Langleben, “Reflection of sound at the water-sea ice interface, “ J. Geophys. Res. 75, 5243-5246 (1970).
    • (1970) J. Geophys. Res. , vol.75 , pp. 5243-5246
    • Langleben, M.P.1
  • 9
    • 3743073665 scopus 로고
    • Acoustic reflection and scattering from the underside of laboratory grown sea ice: Measurements and predictions
    • T. K. Stanton, K. C. Jezek, and A. J. Gow, “Acoustic reflection and scattering from the underside of laboratory grown sea ice: Measurements and predictions, “ J. Acoust. Soc. Am. 80, 1486-1494 (1986).
    • (1986) J. Acoust. Soc. Am. , vol.80 , pp. 1486-1494
    • Stanton, T.K.1    Jezek, K.C.2    Gow, A.J.3
  • 11
    • 0000394636 scopus 로고
    • Scattering and reflection by elliptically striated surfaces
    • J. E. Burke and V. Twersky, “Scattering and reflection by elliptically striated surfaces, “ J. Acoust. Soc. Am. 40, 883-895 (1966).
    • (1966) J. Acoust. Soc. Am. , vol.40 , pp. 883-895
    • Burke, J.E.1    Twersky, V.2
  • 12
    • 84909877501 scopus 로고
    • Low frequency reflection and scattering by ellipsoidally embossed surfaces
    • R. J. Lucas and V. Twersky, “Low frequency reflection and scattering by ellipsoidally embossed surfaces, “ J. Acoust. Soc. Am. 78, 1838-1850 (1985).
    • (1985) J. Acoust. Soc. Am. , vol.78 , pp. 1838-1850
    • Lucas, R.J.1    Twersky, V.2
  • 14
    • 84957244808 scopus 로고
    • and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Macmillan, New York,), Chap. 4.
    • P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Macmillan, New York, 1963), Chap. 4.
    • (1963)
    • Beckmann, P.1
  • 18
    • 0014589084 scopus 로고    scopus 로고
    • Theoretical and experimental investigation of a new type of blazed grating
    • A. Wirgin and R. Deleuil, “Theoretical and experimental investigation of a new type of blazed grating, “ J. Opt. Soc. Am. 59, 1348-1357.
    • J. Opt. Soc. Am. , vol.59 , pp. 1348-1357
    • Wirgin, A.1    Deleuil, R.2
  • 22
    • 2142688708 scopus 로고
    • (Lord Rayleigh), The Theory of Sound (Dover, New York,), Vol., Sec. 272a
    • J. W. Strutt (Lord Rayleigh), The Theory of Sound (Dover, New York, 1945), Vol. 2, Sec. 272a, pp. 89-96.
    • (1945) , vol.2 , pp. 89-96
    • Strutt, J.W.1
  • 25
    • 0019047043 scopus 로고
    • Reflection from a corrugated surface
    • A. Wirgin, “Reflection from a corrugated surface, “ J. Acoust. Soc. Am. 68,692-699(1980).
    • (1980) J. Acoust. Soc. Am. , vol.68 , pp. 692-699
    • Wirgin, A.1
  • 30
    • 0018321146 scopus 로고
    • The Rayleigh hypothesis in the theory of reflection by a grating
    • P. M. van den Berg and J. R. Fokkema, “The Rayleigh hypothesis in the theory of reflection by a grating, “ J. Opt. Soc. Am. 69, 27-31 (1979).
    • (1979) J. Opt. Soc. Am. , vol.69 , pp. 27-31
    • van den Berg, P.M.1    Fokkema, J.R.2
  • 32
    • 0025025370 scopus 로고
    • Rayleigh method for scattering from random and deterministic interfaces
    • D. H. Berman, and J. S. Perkins, “Rayleigh method for scattering from random and deterministic interfaces, “ J. Acoust. Soc. Am. 88,1032-1044 (1990).
    • (1990) J. Acoust. Soc. Am. , vol.88 , pp. 1032-1044
    • Berman, D.H.1    Perkins, J.S.2
  • 33
    • 84957244810 scopus 로고
    • Electromagnetic Theory of Gratings (Springer, Berlin,)
    • R. Petit, Electromagnetic Theory of Gratings (Springer, Berlin, 1980), pp. 1-50.
    • (1980) , pp. 1-50
    • Petit, R.1
  • 34
    • 0037938084 scopus 로고
    • Plane-wave expansions used to describe the field diffracted by a grating
    • J. P. Hugonin, R. Petit, and M. Cadilhac, “Plane-wave expansions used to describe the field diffracted by a grating, “ J. Opt. Soc. 71, 593-598 (1981).
    • (1981) J. Opt. Soc. , vol.71 , pp. 593-598
    • Hugonin, J.P.1    Petit, R.2    Cadilhac, M.3
  • 35
    • 0017954073 scopus 로고
    • A new general theory for dielectric coated gratings
    • D. Maystre, “A new general theory for dielectric coated gratings, “ J. Opt. Soc. Am. 68, 490-495 (1978).
    • (1978) J. Opt. Soc. Am. , vol.68 , pp. 490-495
    • Maystre, D.1
  • 37
    • 0016496981 scopus 로고
    • Scattering by periodic surfaces
    • P. C. Waterman, “Scattering by periodic surfaces, “ J. Acoust. Soc. Am. 57,791-802(1975).
    • (1975) J. Acoust. Soc. Am. , vol.57 , pp. 791-802
    • Waterman, P.C.1
  • 38
    • 84957244811 scopus 로고
    • (Eds.) Acoustic, Electromagnetic and Elastic Wave Scattering-Focus on the T-Matrix Method (Pergamon, New York,).
    • V. K. Varadan and V. V. Varadan (Eds.) Acoustic, Electromagnetic and Elastic Wave Scattering-Focus on the T-Matrix Method (Pergamon, New York, 1980).
    • (1980)
    • Varadan, V.K.1    Varadan, V.V.2
  • 39
    • 0022271511 scopus 로고
    • On the response of a deeply corrugated periodic surface-a hybrid T-matrix approach
    • A. Lakhtakia, V. K. Varadan, and V. V. Varadan, “On the response of a deeply corrugated periodic surface-a hybrid T-matrix approach, “ J. Acoust. Soc. Am. 78, 2100-2104 (1985).
    • (1985) J. Acoust. Soc. Am. , vol.78 , pp. 2100-2104
    • Lakhtakia, A.1    Varadan, V.K.2    Varadan, V.V.3
  • 40
    • 0019626920 scopus 로고
    • Scattering of sound waves at a periodic, pressure-release surface: An exact solution
    • R. L. Holford, “Scattering of sound waves at a periodic, pressure-release surface: An exact solution, “ J. Acoust. Soc. Am. 70, 1116-1128 (1981).
    • (1981) J. Acoust. Soc. Am. , vol.70 , pp. 1116-1128
    • Holford, R.L.1
  • 41
    • 84953675048 scopus 로고
    • Comments on’On the acoustic response of a deeply corrugated periodic surface-a hybrid T-matrix approach,’
    • A. Wirgin, “Comments on’On the acoustic response of a deeply corrugated periodic surface-a hybrid T-matrix approach,’ “ J. Acoust. Soc. Am. 80,963-964(1986).
    • (1986) J. Acoust. Soc. Am. , vol.80 , pp. 963-964
    • Wirgin, A.1
  • 42
    • 84953680708 scopus 로고
    • Reply to’Comments on’On the acoustic response of a deeply corrugated periodic surface-a hybrid T-matrix approach,’’
    • A. Lakhtakia, V. K. Varadan, and V. V. Varadan, “Reply to’Comments on’On the acoustic response of a deeply corrugated periodic surface-a hybrid T-matrix approach,’’ “ J. Acoust. Soc. Am. 80, 964-965 (1986).
    • (1986) J. Acoust. Soc. Am. , vol.80 , pp. 964-965
    • Lakhtakia, A.1    Varadan, V.K.2    Varadan, V.V.3
  • 44
    • 0021593797 scopus 로고
    • A T-matrix approach for scattering by a traction-free periodic rough surface
    • A. Lakhtakia, V. K. Varadan, and V. V. Varadan, “A T-matrix approach for scattering by a traction-free periodic rough surface, “ J. Acoust. Soc. Am. 76, 1839-1846(1984).
    • (1984) J. Acoust. Soc. Am. , vol.76 , pp. 1839-1846
    • Lakhtakia, A.1    Varadan, V.K.2    Varadan, V.V.3
  • 45
    • 0020139934 scopus 로고
    • Acoustic wave scattering from a fluid/solid periodic rough surface
    • S. Chuang and R. K. Johnson, “Acoustic wave scattering from a fluid/solid periodic rough surface, “ J. Acoust. Soc. Am. 71, 1368-1376 (1982).
    • (1982) J. Acoust. Soc. Am. , vol.71 , pp. 1368-1376
    • Chuang, S.1    Johnson, R.K.2
  • 47
    • 0016509336 scopus 로고
    • Scattering from a sinusoid: derivation of linear equations for the field amplitudes
    • J. A. DeSanto, “Scattering from a sinusoid: derivation of linear equations for the field amplitudes, “ J. Acoust. Soc. Am. 57, 1195-1197 (1975).
    • (1975) J. Acoust. Soc. Am. , vol.57 , pp. 1195-1197
    • DeSanto, J.A.1
  • 54
    • 0019266296 scopus 로고
    • Rigorous theory of scattering by perfectly conducting periodic surfaces with trapezoidal height profile. TE and TM polarization
    • G. M. Whitman, D. M. Leskiw, and F. Schwering, “Rigorous theory of scattering by perfectly conducting periodic surfaces with trapezoidal height profile. TE and TM polarization, “ J. Opt. Soc. Am. 70,1495-1503 (1980).
    • (1980) J. Opt. Soc. Am. , vol.70 , pp. 1495-1503
    • Whitman, G.M.1    Leskiw, D.M.2    Schwering, F.3
  • 56
    • 0014999334 scopus 로고
    • Numerical method for the analysis of diffraction gratings
    • H. A. Kalhor and A. R. Neureuther, “Numerical method for the analysis of diffraction gratings, “ J. Opt. Soc. Am. 61, 43-48 (1971).
    • (1971) J. Opt. Soc. Am. , vol.61 , pp. 43-48
    • Kalhor, H.A.1    Neureuther, A.R.2
  • 58
    • 2542433114 scopus 로고
    • Atomic scattering from a sinusoidal hard wall: Comparison of approximate methods with exact results
    • R. I. Masel, R. P. Merrill, and W. H. Miller, “Atomic scattering from a sinusoidal hard wall: Comparison of approximate methods with exact results, “ J. Chem. Phys. 65, 2690-2699 (1976).
    • (1976) J. Chem. Phys. , vol.65 , pp. 2690-2699
    • Masel, R.I.1    Merrill, R.P.2    Miller, W.H.3
  • 59
    • 35949033527 scopus 로고
    • The scattering of atoms from surfaces. III A surface of spheres
    • J. L. Beeby, “The scattering of atoms from surfaces. III A surface of spheres, “ J. Phys. C 6, 1229 (1973).
    • (1973) J. Phys. C , vol.6 , pp. 1229
    • Beeby, J.L.1
  • 63
    • 0000862886 scopus 로고
    • The scattering of He atoms from a hard corrugated surface model using the GR method. I
    • N. Garcia, “The scattering of He atoms from a hard corrugated surface model using the GR method. I, “ J. Chem. Phys. 67, 897 (1977).
    • (1977) J. Chem. Phys. , vol.67 , pp. 897
    • Garcia, N.1
  • 66
    • 0037479534 scopus 로고
    • Reflection of a plane wave from a sinusoidal surface
    • J. L. Uretsky, “Reflection of a plane wave from a sinusoidal surface, “ J. Acoust. Soc. Am. 35, 1293-1294 (1963).
    • (1963) J. Acoust. Soc. Am. , vol.35 , pp. 1293-1294
    • Uretsky, J.L.1
  • 69
    • 0038154850 scopus 로고
    • Underwater sound reflection from a corrugated surface
    • E. O. La Casce and P. Tamarkin, “Underwater sound reflection from a corrugated surface, “ J. Appl. Phys. 27, 138-148 (1956).
    • (1956) J. Appl. Phys. , vol.27 , pp. 138-148
    • La Casce, E.O.1    Tamarkin, P.2
  • 76
    • 0040250581 scopus 로고
    • Underwater-sound reflection from a pressure release sinusoidal surface
    • G. R. Barnard, C. W. Horton, M. K. Miller, and F. R. Spitznogle, “Underwater-sound reflection from a pressure release sinusoidal surface, “ J. Acoust. Soc. Am. 39, 1162-1169 (1966).
    • (1966) J. Acoust. Soc. Am. , vol.39 , pp. 1162-1169
    • Barnard, G.R.1    Horton, C.W.2    Miller, M.K.3    Spitznogle, F.R.4
  • 77
    • 84957244813 scopus 로고
    • Function Analysis in Normed Spaces (Pergamon, Oxford, UK,), Chap. 14.
    • L. V. Kantorovich and G. P. Akilov, Function Analysis in Normed Spaces (Pergamon, Oxford, UK, 1964), Chap. 14.
    • (1964)
    • Kantorovich, L.V.1    Akilov, G.P.2
  • 78
    • 2342418541 scopus 로고
    • Exact numerical methods vs the Kirchhoff approximation for rough surface scattering
    • in, Proceedings of the 1st IMACS Symposium on Computational Acoustics, New Haven, CT 6-8 August 1986, Vol., edited by D. Lee, R. L. Sternberg, and M. H. Schultz (North Holland, Amsterdam,)
    • E. I. Thorsos, “Exact numerical methods vs the Kirchhoff approximation for rough surface scattering, “ in Computational Acoustics Algorithms and Applications, Proceedings of the 1st IMACS Symposium on Computational Acoustics, New Haven, CT 6-8 August 1986, Vol. 2, edited by D. Lee, R. L. Sternberg, and M. H. Schultz (North Holland, Amsterdam, 1988), pp.209-226.
    • (1988) Computational Acoustics Algorithms and Applications , vol.2 , pp. 209-226
    • Thorsos, E.I.1
  • 79
    • 0022879453 scopus 로고
    • Application of a new theoretical treatment to an old problem; sinusoidal pressure release boundary scattering
    • D. F. McCammon and S. T McDaniel, “Application of a new theoretical treatment to an old problem; sinusoidal pressure release boundary scattering, “ J. Acoust. Soc. Am. 79, 1778-1785 (1986).
    • (1986) J. Acoust. Soc. Am. , vol.79 , pp. 1778-1785
    • McCammon, D.F.1    McDaniel, S.2
  • 80
    • 84957244814 scopus 로고    scopus 로고
    • Ref. 14;
    • Ref. 14; pp. 57-58.
  • 82
    • 84957244816 scopus 로고
    • and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York,), p., Eq. 7.2.42.
    • P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), p. 823, Eq. 7.2.42.
    • (1953) , pp. 823
    • Morse, P.M.1
  • 83
    • 0001488929 scopus 로고
    • On the use of the Kirchhoff approximation for the solution of reflection problems
    • W. C. Meecham, “On the use of the Kirchhoff approximation for the solution of reflection problems, “ J. Rat. Mech. Anal. 5, 321-333 (1956).
    • (1956) J. Rat. Mech. Anal. , vol.5 , pp. 321-333
    • Meecham, W.C.1
  • 84
    • 84957244817 scopus 로고
    • IMSL MATH/LIBRARY: Fortran Subroutines for Mathematical Applications, Houston, TX, p.
    • IMSL MATH/LIBRARY: Fortran Subroutines for Mathematical Applications, Houston, TX (1987), p. 31.
    • (1987) , pp. 31
  • 85
    • 84957244818 scopus 로고
    • Tables of Integrals, Series and Products (Academic Press, New York,), p., Eqs. 6.671(8) and 6.671(12).
    • I. S. Gradshteyn, and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic Press, New York, 1965), p. 731, Eqs. 6.671(8) and 6.671(12).
    • (1965) , pp. 731
    • Gradshteyn, I.S.1    Ryzhik, I.M.2
  • 86
    • 84957244819 scopus 로고    scopus 로고
    • Ref. 85, p., Eq. 6.693(2) and p. 730, Eqs. 6.671(1) and 6.671(3).
    • Ref. 85, p. 743, Eq. 6.693(2) and p. 730, Eqs. 6.671(1) and 6.671(3).
  • 87
    • 84957244820 scopus 로고
    • Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, National Bureau of Standards, Applied Mathematics Series 55, (U.S. Government Printing Office, Washington DC,), p., Eq. 9.1.13.
    • M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, National Bureau of Standards, Applied Mathematics Series 55, (U.S. Government Printing Office, Washington DC, 1972), p. 360, Eq. 9.1.13.
    • (1972) , pp. 360
    • Abramowitz, M.1    Stegun, I.A.2
  • 88
    • 84957244821 scopus 로고    scopus 로고
    • Ref. 87, p., Eq. 9.1.11.
    • Ref. 87, p. 360, Eq. 9.1.11.
  • 89
    • 84957244822 scopus 로고
    • A Treatise on the Theory of Bessel Functions (Cambridge U.P., Cambridge, England,), p., Eqs. 2.21(8) and 2.21(9).
    • G. N. Watson, A Treatise on the Theory of Bessel Functions (Cambridge U.P., Cambridge, England, 1966), p. 21, Eqs. 2.21(8) and 2.21(9).
    • (1966) , pp. 21
    • Watson, G.N.1
  • 90
    • 84957244823 scopus 로고    scopus 로고
    • Ref. 85, p., Eq. 3.631(9).
    • Ref. 85, p. 372, Eq. 3.631(9).
  • 91
    • 84957244824 scopus 로고    scopus 로고
    • Ref. 89, p. Eq. 5.2(1).
    • Ref. 89, p. 138. Eq. 5.2(1).


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