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.
Table of ContentsPreface. Contributing Authors. Part I: Overview. 1. Electric and Elastic Properties of Linear and Non-Linear Composites; G.W. Milton. 2. Advances in the Rayleigh Multipole Method for Problems in Photonics and Phononics; R.C. McPhedran, et al. Part II: Aspects of Electromagnetic Waves. 3. Random Scattering and the Detection Capability of the Magnetotelluric Method; B.S. White, et al. 4. Phase Singularities in Beams; G.F. Brand. 5. Nonlinear Pulse Propagation in Fibre Gratings; B.J. Eggleton, et al. Part III: Aspects of Mechanical Waves. Radiation From a Transducer into an Elastic Half-Space; G.W. Owen, I.D. Abrahams. 7. Energy Flux in Elasticity and Electromagnetism; P. Boulanger, M. Hayes. 8. On Oscillation of Layered Structures with Imperfect Interfaces; A. Movchan, et al. 9. Free Vibration of Elastic Solids: Effect of Boundary Perturbation on Fundamental frequencies; N.V. Movchan. 10. Diffusing Acoustic Wave Transport and Spectroscopy; J.H. Page, et al. Part IV: Composites. 11. Charged Dust Structures in Plasmas; N.F. Cramer, S.V. Vladimirov. 12. Longitudinal Magneto-Elastic Waves in Solids with Microstructure; V. Erofeyev, et al. 13. Transport Properties of a Fibre-Layer Composite Material; V.V. Mityushev, T.N. Zhorovina. 14. Laplace Transform Methods and the Rayleigh Identity for an Array of Elliptical Cylinders; A.J. Reuben, et al. Part V: Homogenization. 15. Symmetry Breaking in Annular Domains for a Ginzburg-Landau Superconductivity Model; L. Berlyand, K. Voss. 16. Diffraction by Perfectly Conducting Capacitive Grids: Photonic Band Structures and Circuit Models; L.C. Botten, et al. 17. Photonic Crystal Optics and Homogenization of 2D Periodic Composites; P. Halevi, et al. 18. Asymptotics of Photonic Band Structures for Doubly-Periodic Arrays; C.G. Poulton, et al. Part VI: Photonic Band Gap Materials and Localization. 19. Electromagnetic Modelling of Dielectric and Metallic Photonic Crystals; D. Maystre, et al. 20. Band Gap Engineering in Metallic PBG Materials at Microwave Frequencies Using Composite Material and Defect Lattice; F. Gadot, et al. 21. Photonic Bands and Scattering for Stacks of Lossy, Dispersive Cylinders; N.A. Nicorovici, et al. 22. Surface Plasmons and Zero Order Metal Gratings; J.R. Sambles, et al. 23. General Characteristics of Localization in Stratified Media with Random Loss and Gain; L.C. Botten, et al. 24. Light Amplification and Attenuation in Stratified Structures with Complex Refractive Index; S.A. Bulgakov, M. Nieto-Vesperinas. Index.