Scattering matrix properties with evanescent modes for waveguides in fluids and solids

Journal of the Acoustical Society of America

Volumn 116, Issue 4 I, 2004, Pages 1913-1920

  Pagneux, V ^a   Maurel, A ^b  

^a UNIVERSITÉ DU MAINE   (France)

^b INSTITUT LANGEVIN   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY CONSERVATION; FLUIDS; MATRIX ALGEBRA; WAVEGUIDES;

ACOUSTIC PRESSURE WAVES; ALGEBRAIC SCATTERING MATRIX PROPERTIES; TIME-REVERSAL INVARIANCE;

ACOUSTIC WAVE SCATTERING;

ARTICLE; ENERGY CONSERVATION; LIQUID; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PRESSURE; PRIORITY JOURNAL; SOLID;

EID: 6344234905     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.1786293     Document Type: Article

References (17)

1. E. Gerjuoy and D. S. Saxon, "Variational principles for the acoustic field," Phys. Rev. 94, 1445-1458 (1954).
2. T. W. Dawson, "Scattering matrix and boundary integral equation methods for long range propagation in an acoustic waveguide with repeated boundary deformations," J. Acoust. Soc. Am. 90(3), 1560-1574 (1991).
3. H. Hudde and U. Letens, "Scattering matrix of a discontinuity with a nonrigid wall in a lossless circular duct," J. Acoust. Soc. Am. 78(5), 1826-1837 (1985).
4. V. Varatharajulu and Y.-H. Pao, "Scattering matrix for elastic waves. I. Theory," J. Acoust. Soc. Am. 60(3), 556-566 (1976).
5. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Non-relativistic Theory) (Pergamon, Oxford, 1965).
6. R. G. Newton, Scattering Theory of Waves and Particles (McGraw-Hill, New York, 1966).
7. P. A. Mello, P. Pereyra, and N. Kumar, "Macroscopic approach to multichannel disordered conductors," Ann. Phys. 181(2), 290-317 (1988).
8. C. Vassalo, Théorie des guides d'ondes Electromagnétiques (Eyrolles, Paris, 1985), Vol. 2.
9. R. Carminati, J. J. Sáenz, J.-J. Greffet, and M. Nieto-Vesperinas, "Reciprocity, unitarity, and time-reversal symmetry of the S-matrix of fields containing evanescent components," Phys. Rev. A 62, 0127121-0127127 (2000).
10. A. Folguera and G. H. Harris, "Coupled Rayleigh surface in a slowly varying elastic waveguide," Proc. R. Soc. London, Ser. A 455, 917-931 (1999).
11. V. Pagneux and A. Maurel, "Lamb wave propagation in inhomogeneous elastic waveguides," Proc. R. Soc. London, Ser. A 458, 1913-1930 (2002).
12. P. Morse and U. Ingard, Theoretical Acoustics (McGraw Hill, New York, 1952).
13. J. D. Achenbach, Wave Propagation in Elastic Solids (North-Holland, Amsterdam, 1987).
14. W. B. Fraser, "Orthogonality relation for the Rayleigh-Lamb modes of vibration of a plate," J. Acoust. Soc. Am. 59, 215-216 (1976).
15. C. P. A. Wapenaar, "Reciprocity theorems for two-way and one-way wave vectors: A comparison," J. Acoust. Soc. Am. 100, 3508-3518 (1996).
16. I. A. Viktorov, Rayleigh and Lamb Waves: Physical Theory and Applications (Plenum, New York, 1967), Chap. 2.
17. P. Roux, B. Roman, and M. Fink, "Time reversal in an ultrasonic waveguide," Appl. Phys. Lett. 70, 1811-1813 (1997).