These Conference Proceedings are intended to summarise the latest developments in diffraction and scattering theory as reported at the IU TAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity held in Manchester, England on 16-20 July 2000. This in formal meeting was organised to discuss mathematical advances, both from the theoretical and more applied points of view. However, its pri mary goal was to bring together groups of researchers working in dis parate application areas, but who nevertheless share common models, phenomenological features arising in such problems, and common math ematical tools. To this end, we were delighted to have four Plenary Speakers, Professors Allan Pierce, Ed Kerschen, Roger Grimshaw and John Willis FRS, who are undisputed leaders in the four thematic ar eas of our meeting (these are respectively acoustics, aeroacoustics, water or other free surface waves, elasticity). These Proceedings should offer an excellent vehicle for continuing the dialogue between these groups of researchers. The participants were invited because of their expertise and recent contributions to this field. Collectively, there were around 90 contrib utors to the Symposium from some 13 countries located all around the world. These included 45 speakers, 35 co-authors and about 10 other delegates. Individuals came from many of the major international cen tres of excellence in the field of scattering theory.
Table of ContentsPreface. Symposium Photograph. Introduction. Part I: Free surface and other geophysical waves. 1. The scattering of Rossby waves by ocean ridges; I.D. Abrahams, et al. 2. Wave diffraction through a gap in a breakwater of non-zero thickness; N.R.T. Biggs, D. Porter. 3. Nonlinear effects in wave scattering and generation; R.H.J. Grimshaw. 4. Reflection by slotted thick barriers under oblique wave attack: a numerical study; M. Kanoria, B.N. Mandal. 5. The finite dock problem; C.M. Linton. 6. Long periodic waves on a beach; A. Shermenev, M. Shermeneva. 7. Waves trapped under a moving pressure distribution; J.-M. Vanden-Broeck. Part II: Energy trapping and propagation. 8. Localised oscillations near submerged obstacles; M. McIver. 9. Approximations to embedded trapped modes in wave guides; P. McIver. 10. Trapped modes about tube bundles in waveguides; R. Porter, D.V. Evans. 11. Phononic band structures for arrays of circular cavities in an elastic medium; V.V. Zalipaev, et al. Part III: Propagation through inhomogeneous media. 12. The split-operator technique in acoustical physics; D. Bosquetti, J. Sánchez-Dehesa. 13. A unified model for the properties of composite materials; P.R. Brazier-Smits. 14. Acoustic modelling of signature reduction materials for underwater applications; F.H. Kerr, A.M. Baird. 15. Acoustic wave phase conjugation in active media; A. Merlen, et al. 16. Wave passage through a string having multielement inclusions with partial interior dynamics;A.D. Sergeyev, D.A. Sergeyev. Part IV: Diffraction and propagation of acoustic waves. 17. Diffraction coefficients for a circular impedance cone; Y.A. Antipov. 18. On the acoustics of a thick shear layer; L.M.B.C. Campos, M.H. Kobayashi. 19. The wavenumber surface in blade-vortex interaction; C.J. Chapman. 20. Diffraction of creeping waves by conical points; V.P. Smyshlyaev, et al. 21. Effects of temperature gradient on the propagation of an acoustic solitary wave in an air-filled tube; N. Sugimoto, K. Tsujimoto. 22. Scattering by blunt and sharp convex obstacles in two dimensions; R.H. Tew. Part V: Scattering by cracks. 23. Diffraction coefficients for tilted surface-breaking cracks; V.M. Babich, et al. 24. Domain sensitivity analysis of the elastic far-field patterns; M. Bochniak, F. Cakoni. 25. Factorisation of a certain Wiener-Hopf matrix arising in diffraction theory; P.A. Lewis. 26. Theory of crack front waves; J.R. Willis, A.B. Movchan. Part VI: Fluid structural wave interaction. 27. Formation of an unknown discrete spectrum in a general spectrum; A.K. Abramian. 28. A new class of point models in diffraction by thin elastic plates; I.V. Andronov. 29. 2-D model of the interaction between a pressure wave and a submerged sandwich panel; S. Kadyrov. 30. On the propagation and scattering of fluid-structural waves in a three-dimensional duct bounded by thin elastic walls; J.B. Lawrie, I.D. Abrahams. 31. Ultrasonic backscattering enhancements for truncated objects in water