Waves in Complex Media
About this book
This book offers a clear and interdisciplinary introduction to the structural and scattering properties of complex photonic media, focusing on deterministic aperiodic structures and their conceptual roots in geometry and number theory. It integrates important results and recent developments into a coherent and physically consistent story, balanced between mathematical designs, scattering and optical theories, and engineering device applications. The book includes discussions of emerging device applications in metamaterials and nano-optics technology. Both academia and industry will find the book of interest as it develops the underlying physical and mathematical background in partnership with engineering applications, providing a perspective on both fundamental optical sciences and photonic device technology. Emphasizing the comprehension of physical concepts and their engineering implications over the more formal developments, this is an essential introduction to the stimulating and fast-growing field of aperiodic optics and complex photonics.
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Information
Table of contents
- Cover
- Half-title
- Title page
- Copyright information
- Dedication
- Contents
- Preface
- 1 Introduction
- 2 Electromagnetics Background
- 3 Optical Dispersion Models
- 4 Wave Propagation and Diffraction
- 5 Diffraction in Optical Engineering
- 6 Wave Scattering and Coherence
- 7 Structure Factor and Diffraction
- 8 Tailored Disorder
- 9 Fundamentals of Number Theory
- 10 Aperiodic Order in Number Theory
- 11 Aperiodic Order and Geometry
- 12 Multiple Scattering
- 13 Analytical Scattering Theory
- 14 Transport and Localization
- Appendix A Bound Sources
- Appendix B Longitudinal and Transverse Vector Fields
- Appendix C Essentials of Random Processes
- Appendix D Derivation of the Foldy–Lax Equations
- Appendix E The Multifractal Formalism
- Appendix F Aperiodic Arrays and Spectral Graph Theory
- Appendix G Essentials of Fractional Calculus
- Appendix H Mie–Lorenz Field Components
- References
- Index
