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DeSanto, J. A.

Theory of scattering from multilayered bodies of arbitrary shape. (English) Zbl 0427.73013

Wave Motion 2, 63-73 (1980).
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Cited in 5 Documents

MSC:

74J20 Wave scattering in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
34B27 Green’s functions for ordinary differential equations

Keywords:

boundary integral equation methods; scattering from a multilayered homogeneous elastic body; infinite elastic material; three-layer material; generalized to N-layers; matrix factorization method
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References:

[1] Überall, H.; Dragonette, L. R.; Flax, L., Relation between creeping waves and normal modes of vibration of a curved body, J. Acoust. Soc. Am., 61, 711 (1977)
[2] Flax, L.; Dragonette, L. R.; Überall, H., Theory of elastic resonance excitation by sound scattering, J. Acoust. Soc. Am., 63, 723 (1978) · Zbl 0374.76063
[3] Varatharajulu, V.; Pao, Y.-H., Scattering matrix for elastic waves I. Theory, J. Acoust. Soc. Am., 60, 556 (1976) · Zbl 0342.73020
[4] Waterman, P. C., Matrix theory of elastic wave scattering, J. Acoust. Soc. Am., 60, 567 (1976) · Zbl 0342.73019
[5] Peterson, B.; Ström, S., Matrix formulation of acoustic scattering from multilayered scatterer, J. Acoust. Soc. Am., 57, 2 (1975) · Zbl 0294.76060
[6] Bates, R. H.T.; Wall, D. J.N., Null field approach to scalar diffraction I. General method, Phil. Trans. R. Soc. Lond., A287, 45 (1977)
[7] Bates, R. H.T.; Wall, D. J.N., Null field approach to scalar diffraction II. Approximate methods, Phil. Trans. R. Soc. Lond., A287, 79 (1977)
[8] Millar, R. F., The Rayleigh hypothesis and a related least-squares solution to scattering problems for periodic surfaces and other scatterer, Radio Sci., 8, 785 (1973)
[9] DeSanto, J. A., Theoretical Methods in Ocean Acoustics, (DeSanto, J. A., Ocean Acoustics. Ocean Acoustics, Topics in Current Physics, Vol. 8 (1979), Springer: Springer New York)
[10] Kupradze, V. D., Potential Methods in the Theory of Elasticity (1965), Davey: Davey New York · Zbl 0188.56901
[11] Banaugh, R. P.; Goldsmith, W., Diffraction of steady acoustic waves by surfaces of arbitrary shape, Trans. ASME J. Appl. Mech., 30, 589 (1963) · Zbl 0134.44704
[12] Sharma, D. L., Scattering of steady elastic waves by surfaces of arbitrary shape, Bull. Seis. Soc. Am., 57, 795 (1967)
[13] Burke, G. J.; Miller, E. K.; Poggio, A. J.; Pjerrou, G. M.; Maxum, B. J.; Meecham, W., An integro-differential equation approach to acoustic scattering from fluid-immersed elastic bodies, J. Comp. Phys., 10, 22 (1972) · Zbl 0251.76055
[14] DeSanto, J. A., Scattering from a random rough surface: Diagram methods for elastic media, J. Math. Phys., 14, 1566 (1973)
[15] DeSanto, J. A.; Shisha, O., Numerical solution of a singular integral equation in random rough surface scattering theory, J. Comp. Phys., 15, 286 (1974) · Zbl 0283.65071
[16] Chertock, G., Integral equation methods in sound radiation and scattering from arbitrary surfaces, NSRDC Tech. Rept. No. AD726404 (June, 1971), Available from NTIS, Springfield, VA
[17] Brekhovskikh, L. M., Waves in Layered Media (1960), Academic Press: Academic Press New York · Zbl 0558.73018
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