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.
Author(s): Ross C. McPhedran, Lindsay C. Botten, Nicolae-A.P. Nicorovici
Edition: 1
Year: 2001
Language: English
Pages: 340
Preliminaries......Page 1
Contents......Page 8
1. Electric and Elastic Properties of Linear and Non-Linear Composites......Page 22
2. Advances in the Rayleigh Multipole Method for Problems in Photonics Phononics......Page 34
3. Random Scattering and the Detection Capability of the Magnetotelluric Methods......Page 50
4. Phase Singularities in Beams......Page 62
5. Nonlinear Pulse Propagation in Fibre Gratings......Page 76
6. Radiation From a Transducer into an Elastic Half-Space......Page 92
7. Energy Flux in Elasticity and Electromagnetism......Page 108
8. On Oscillation of Layered Structures with Imperfect Interfaces......Page 120
9. Free Vibration of Elastic Solids......Page 130
10. Diffusing Acoustic Wave Transport and Spectroscopy......Page 140
11. Charged Dust Structures in Plasmas......Page 154
12. Longitudinal Magneto–Elastic Waves in Solids with Microstructure......Page 168
13. Transport Properties of a Fibre–Layer Composite Material......Page 178
14. Laplace Transform Methods and the Rayleigh Identity for an Array of Elliptical Cylinders......Page 188
15. Symmetry Breaking in Annular Domains for a Ginzburg–Landau Superconductivity model......Page 208
16. Diffraction by Perfectly Conducting Capacitive Grids......Page 220
17. Photonic Crystal Optics and Homogenization of 2D Periodic Composites......Page 238
18. Asymptotics of Photonic Band Structures for Doubly–Periodic Arrays......Page 246
19. Electromagnetic Modelling of Dielectric and Metallic Photonic Crystals......Page 260
20. Band Gap Engineering in Metallic PBG Materials at Microwave Frequencies using composite material and defect lattice......Page 276
21. Photonic Bands and Scattering for Stacks of Lossy, Dispersive Cylinders......Page 288
22. Surface Plasmons and Zero Order Metal Gratings......Page 304
23. General Characteristics of Localization in Stratified Media with Random Loss and Gain......Page 316
24. Light Amplification and Attenuation in Stratified Structures with Complex Refractive Index......Page 330
Author Index......Page 340
