Acoustics of a fluid-loaded plate with attached oscillators. Part I. Feynman rules

Journal of the Acoustical Society of America

Volumn 102, Issue 1, 1997, Pages 348-357

  Photiadis, Douglas M ^a  

^a NAVAL RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC IMPEDANCE; ACOUSTICS; ARTICLE; ELASTICITY; FOURIER TRANSFORMATION; LIQUID; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; OSCILLATION; PRIORITY JOURNAL; RADIATION;

EID: 0030811951     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.419758     Document Type: Article

References (14)

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5. U. Frisch, "Wave propagation in random media," in Probabilistic Methods in Applied Mathematics, edited by A. T. Bharucha-Reid (Academic, New York, 1968), Vol. 1, pp. 75-198.
6. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978), Vol. 1, pp. 75-198.
7. S. A. Rybak, "Waves in a plate containing random inhomogeneities," Sov. Phys. Acoust. 17, 345-349 (1972).
8. J. A. Turner and R. L. Weaver, "Coupling and attenuation of waves in plates by randomly distributed attached impedances," J. Acoust. Soc. Am. 99, 2167-2175 (1996).
9. M. Junger and D. Feit, Sound, Structures, and Their Interaction (MIT, Cambridge, MA, 1972) 2nd ed., pp. 235-272.
10. R. Kubo, "Stochastic Liouville Equation," J. Math. Phys. (N.Y.) 4, 174-183 (1963).
11. D. G. Crighton, "The free and forced waves on a fluid-loaded elastic plate," J. Sound Vib. 63, 225-235 (1979).
12. D. M. Photiadis, "Approximations for the two-dimensional Green's function of a fluid-loaded plate," J. Acoust. Soc. Am. 93, 42-47 (1993).
13. C. Serrin and S. Hayek, "Acoustic radiation from an insonified elastic plate with a line discontinuity," J. Acoust. Soc. Am. 86, 195-209 (1989).
14. This definition is similar to, but not quite the same as the definition of the Cutkosky rules in quantum field theory. The resulting diagrams are also sometimes referred to as cut diagrams. See for example, C. Itzykson and J. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980), p. 315.