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PBG analysis in microwave range

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Newbie level 4
Feb 11, 2006
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does the analysis of the PBG in microwave range differe from that in optical range?

Here you go.............

Photonic Crystals: Molding the Flow of Light
John D. Joannopoulos, Robert D. Meade, and Joshua N. Winn

Photonic Crystals is the first book to address one of the newest and most exciting developments in physics--the discovery of photonic band-gap materials and their use in controlling the propagation of light. Recent discoveries show that many of the properties of an electron in a semiconductor crystal can apply to a particle of light in a photonic crystal. This has vast implications for physicists, materials scientists, and electrical engineers and suggests such possible developments as an entirely optical computer. Combining cutting-edge research with the basic theoretical concepts behind photonic crystals, the authors present to undergraduates and researchers a concise, readable, and comprehensive text on these novel materials and their applications.

The first chapters develop the theoretical tools of photonic crystals in a broad, intuitive fashion, starting from nothing more than Maxwell's equations and Fourier analysis, and include analogies to traditional solid-state physics and quantum theory. There follows an investigation of the unique phenomena that take place within photonic crystals, at defect sites, and at surfaces and interfaces. The authors offer a new treatment of the traditional multilayer film (a one-dimensional photonic crystal), which allows for the extension to higher dimensions and more complex geometries. After exploring the capabilities of photonic crystals to guide and localize light, the authors demonstrate how these notions can be put to work.


"A timely and well-written account of this new field ... full of colorful computer-generated illustrations."--Nature


Ch. 1 Introduction 3
Ch. 2 Electromagnetism in Mixed Dielectric Media 8
Ch. 3 Symmetries and Solid-State Electromagnetism 22
Ch. 4 The Traditional Multilayer Film: A One-Dimensional Photonic Crystal 38
Ch. 5 Two-Dimensional Photonic Crystals 54
Ch. 6 Three-Dimensional Photonic Crystals 78
Ch. 7 Designing Photonic Crystals for Applications 94
Appendix A. Comparisons with Quantum Mechanics 107
Appendix B. The Reciprocal Lattice and the Brillouin Zone 112
Appendix C. Atlas of Band Gaps for Two-Dimensional Photonic Crystals 121
Appendix D. Computing Photonic Band Structures 127
References 131
Index 135

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