IUTAM Symposium on Mechanical and Electromagnetic Waves in Structured Media : Proceedings of the IUTAM Symposium Held in Sydney, NSW, Australia, 18–22 January 1999

The IUTAM Symposium on Mechanical and Electromagnetic Waves in Structured Media took place at the University of Sydney from January 18- 22, 1999. It brought together leading researchers from eleven countries for a week-long meeting, with the aim of providing cross-links between the com- nities studying related problems involving elastic and electromagnetic waves in structured materials. After the meeting, participants were invited to submit articles based on their presentations, which were refereed and assembled to constitute these Proceedings. The topics covered here represent areas at the forefront of research intoelastic and electromagnetic waves. They include effect of nonlinearity, diffusion and multiple scattering on waves, as well as asymptotic and numerical techniques. Composite materials are discussed in depth, with example systems ranging fromdusty plasmas to a magneto-elastic microstructured system. Also included are studies of homogenisation, that field which seeks to determine equivalent homogeneous systems which can give equivalent wave properties to structured materials, and inverse problems, in which waves are used as a probe to infer structural details concerning scattering systems. There are also strong groups of papers on the localization of waves by random systems, and photonic and phononic band gap materials. These are being developed by analogue with semiconductors for electrons, and hold out the promise of enabling designers to control the propagation of waves through materials in novel ways. We would like to thank the other members of the Scientific Committee (A. Front Matter....Pages 1-1 Electric and Elastic Properties of Linear and Non-linear Composites....Pages 3-14 Advances in the Rayleigh Multipole Method for Problems in Photonics and Phononics....Pages 15-28 Front Matter....Pages 29-29 Random Scattering and the Detection Capability of the Magnetotelluric Method....Pages 31-42 Phase Singularities in Beams....Pages 43-56 Nonlinear Pulse Propagation in Fibre Gratings....Pages 57-70 Front Matter....Pages 71-71 Radiation from a Transducer into an Elastic Half-space....Pages 73-88 Energy Flux in Elasticity and Electromagnetism....Pages 89-100 On Oscillation of Layered Structures with Imperfect Interfaces....Pages 101-110 Free Vibration of Elastic Solids: Effect of Boundary Perturbation on Fundamental Frequencies....Pages 111-120 Diffusing Acoustic Wave Transport and Spectroscopy....Pages 121-132 Front Matter....Pages 133-133 Charged Dust Structures in Plasmas....Pages 135-148 Longitudinal Magneto-elastic Waves in Solids with Microstructure....Pages 149-158 Transport Properties of a Fibre-layer Composite Material....Pages 159-168 Laplace Transform Methods and the Rayleigh Identity for an Array of Elliptical Cylinders....Pages 169-186 Front Matter....Pages 187-187 Symmetry Breaking in Annular Domains for a Ginzburg-Landau Superconductivity Model....Pages 189-200 Diffraction by Perfectly Conducting Capacitive Grids: Photonic Band Structures and Circuit Models....Pages 201-218 Photonic Crystal Optics and Homogenization of 2D Periodic Composites....Pages 219-226 Asymptotics of Photonic Band Structures for Doubly-periodic Arrays....Pages 227-238 Front Matter....Pages 239-239 Electromagnetic Modelling of Dielectric and Metallic Photonic Crystals....Pages 241-256 Band Gap Engineering in Metallic PBG Materials at Microwave Frequencies using Composite Material and Defect Lattice....Pages 257-268 Front Matter....Pages 239-239 Photonic Bands and Scattering for Stacks of Lossy, Dispersive Cylinders....Pages 269-284 Surface Plasmons and Zero Order Metal Gratings....Pages 285-296 General Characteristics of Localization in Stratified Media with Random Loss and Gain....Pages 297-310 Light Amplification and Attenuation in Stratified Structures with Complex Refractive Index....Pages 311-320 The book provides a unique perspective on mechanical and electromagnetic waves in structured materials. Experts from both fields present the latest developments in theory and applications, and emphasize fundamental concepts, which unify wave science. The book will be of interest to those interested in waves and their properties, whatever the context. It is pitched at a level suitable for research students and those coming from other fields, who wish to learn about topics at the forefront of research into control and properties of waves in structured media. Particular areas discussed in depth include materials exhibiting band gaps for optical and mechanical waves, localization and homogenization, composite materials, and fundamental wave properties such as group and energy velocities in the presence of strong scattering. The papers in this book arise from a Symposium held at the University of Sydney in January 1999 Composite materials have inhomogeneities on a length scale greater than the atomic scale, but behave like a homogeneous material on sufficiently large length scales.