IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity

1. Front Matter

   Pages i-xiv

   PDF

2. Diffraction and Propagation of Free Surface and Other Geophysical Waves

   1. Front Matter

      Pages 1-1

      PDF

   2. The Scattering of Rossby Waves by Ocean Ridges

      • I. D. Abrahams, G. W. Owen, A. J. Willmott

      Pages 3-12

   3. Wave Diffraction Through a Gap in a Breakwater of Non-Zero Thickness

      • N. R. T. Biggs, D. Porter

      Pages 13-21

   4. Nonlinear Effects in Wave Scattering and Generation

      • R. H. J. Grimshaw

      Pages 23-34

   5. Reflection by Slotted Thick Barriers under Oblique Wave Attack: A Numerical Study

      • M. Kanoria, B. N. Mandal

      Pages 35-44

   6. The Finite Dock Problem

      • C. M. Linton

      Pages 45-51

   7. Long Periodic Waves on a Beach

      • A. Shermenev, M. Shermeneva

      Pages 53-60

   8. Waves Trapped Under a Moving Pressure Distribution

      • J.-M. Vanden-Broeck

      Pages 61-68

3. Energy Trapping and Propagation around Submerged Bodies and in Periodic Arrays

   1. Front Matter

      Pages 69-69

      PDF

   2. Localised Oscillations Near Submerged Obstacles

      • M. McIver

      Pages 71-78

   3. Approximations to Embedded Trapped Modes in Wave Guides

      • P. McIver

      Pages 79-86

   4. Trapped Modes about Tube Bundles in Waveguides

      • R. Porter, D. V. Evans

      Pages 87-94

   5. Phononic Band Structures for Arrays of Circular Cavities in an Elastic Medium

      • V. V. Zalipaev, A. B. Movchan, C. G. Poulton, R. C. McPhedran

      Pages 95-104

4. Wave Propagation Through Inhomogeneous and Active Media

   1. Front Matter

      Pages 105-105

      PDF

   2. The Split-Operator Technique in Acoustical Physics

      • D. Bosquetti, J. Sánchez-Dehesa

      Pages 107-114

   3. A Unified Model for the Properties of Composite Materials

      • P. R. Brazier-Smith

      Pages 115-122

   4. Acoustic Modelling of Signature Reduction Materials for Underwater Applications

      • F. H. Kerr, A. M. Baird

      Pages 123-132

   5. Acoustic Wave Phase Conjugation in Active Media

      • A. Merlen, S. Ben-Khelil, V. Preobrazhensky, P. Pernod

      Pages 133-140

   6. Wave Passage Through a String Having Multielement Inclusions with Partial Interior Dynamics

      • A. D. Sergeyev, D. A. Sergeyev

      Pages 141-148

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.

• Oscillation
• Phase
• Wave
• fluid mechanics
• model
• modeling
• operator
• ultrasound

• University of Manchester, Manchester, UK

  I. David Abrahams, Michael J. Simon

• Colorado School of Mines, Golden, USA

  Paul A. Martin

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