# Coherent scattering from rough surfaces

Classical Scattering Theory

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## Keywords

Naval Research Laboratory Plane Wave Incidence Random Surface Single Scatter Random Rough Surface
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## Footnotes and References

- [1]J.W.S. Rayleigh:
*The Theory of Sound*(Dover, New York, 1945), Vol. 2, pp. 89–96Google Scholar - [2]B.A. Lippman: “Note on the theory of gratings,” J. Opt. Soc. Am.
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**65**, 773–791 (1969); “On the Rayleigh assumption in scattering by a periodic surface II,” Proc. Carob. Phil. Soc.**69**, 217-225 (1971); “The Rayleigh hypothesis and a related least-squares solution to scattering problems for periodic surfaces and other scatterers,” Radio Sci.**8**, 785-796 (1973)Google Scholar - [5]R. Petit, M. Cadilhac: “Sur la diffraction d'une onde plane par un réseau infiniment conducteur,” C.R. Acad. Sci. Paris
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**12**, 1913–1923 (1971) for the soft (Dirichlet, TE polarization) case in the text. The hard (Neumann, TH) case is in “Scattering from a periodic corrugated structure 11: thin comb with hard boundaries,” ibid.**13**, 336-341 (1972)Google Scholar - [9]R. Mittra, S.W. Lee: Analytical Techniques in the Theory of Guided Waves (Macmillan, New York, 1971)Google Scholar
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**67**, 557–560 (1977)Google Scholar - [11]J.A. DeSanto: “Scattering from a periodic corrugated surface: semi-infinite alternately filled plates,” J. Acoust. Soc. Am.
**53**, 719–734 (1973) and “Scattering from a periodic corrugated surface: finite-depth alternately filled plates,” ibid.**56**, 1336-1341 (1974)Google Scholar - [12]N. Garcfa, N. Cabrera: “New method for solving the scattering of waves from a periodic hard surface: Solutions and numerical comparisons with the various formalisms,“ Phys. Rev. B
**18**, 576–589 (1978); R.I. Masel, R.P. Merrill, W. H. Miller: “Atomic scattering from a sinusoidal hardwall: Comparison of approximate methods with exact quantum results,” Lawrence Berkeley Laboratory Technical Report LBL-4969 (April, 1976); G. Boato, P. Cantini, V. Garibaldi, A.C. Levi, L. Mattera, R. Spadacini, G.E. Tommei: “Diffraction and rainbow in atom-surface scattering,” J. Phys. C: Solid State Phys.**6 L**394-398 (1973)Google Scholar - [13]R.D. Hazeltine, M.N. Rosenbluth, A.M. Sessler: “Diffraction radiation by a line charge moving past a comb: a model of radiation losses in an electron ring accelerator,” J. Math. Phys.
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**13**, 2287–2290 (1976)Google Scholar - [18]R.G. Newton:
*Scattering Theory of Waves and Particles*(McGraw-Hill, New York, 1966)Google Scholar - [19]G.G. Zipfel, J.A. DeSanto: “Scattering of a scalar wave from a random rough surface: a diagrammatic approach,” J. Math. Phys.
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**15**, 283–288 (1974)Google Scholar - [22]L.M. Brekhovskikh:
*Waves in Layered Media*(Academic, New York, 1960)Google Scholar - [23]J.A. DeSanto: “Scattering from a sinusoid: derivation of linear equations for the field amplitudes,” J. Acoust. Soc. Am.
**57**, 1195–1197 (1975)Google Scholar - [24]Analogous techniques are used in random-volume scattering theory. See V. Frisch: “Wave propagation in random media,” in
*Probabilistic Methods in Applied Mathematics*, ed. by A.T. Bharucha-Reid (Academic, New York, 1968), Vol. 1Google Scholar - [25]K. Huang: Statistical Mechanics (Wiley, New York, 1963)Google Scholar
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**15**, 286–292 (1974)Google Scholar - [27]W.S. Ament: “Forward-and back-scattering from certain rough surfaces,” Trans. IRE AP-
**4**, 369–373 (1956); P. Beckmann, A. Spizzichino:*The Scattering of Electromagnetic Waves from Rough Surfaces*(Pergamon, New York, 1963)Google Scholar - [28]C.S. Clay, H. Medwin, W.M. Wright: “Specularly scattered sound and the probability density function of a rough surface,” J. Acoust. Soc. Am.
**53**, 1677–1682 (1973)Google Scholar - [29]J.G. Zornig: “Physical modeling of underwater acoustics,” in
*Ocean Acoustics*, Topics in Current Physics, vol. 8, ed. by J.A. DeSanto (Springer, New York, 1979)Google Scholar - [30]E. Jakeman, P.N. Pusey: “Non-Gaussian fluctuations in electromagnetic radiation scattered by a random phase screen I. Theory,” J. Phys. A: Math. Gen.
**8**, 369–381 (1973)Google Scholar - [31]R.M. Brown, A.R. Miller: “Geometric optics theory for coherent scattering of microwaves from the ocean”; Naval Research Laboratory Report 7705 (1974)Google Scholar

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