Fundamentals of Photonic Crystal Guiding

Maksim Skorobogatiy; Jianke Yang

doi:10.1017/CBO9780511575228

If you're looking to understand photonic crystals, this systematic, rigorous, and pedagogical introduction is a must. Here you'll find intuitive analytical and semi-analytical models applied to complex and practically relevant photonic crystal structures. You will also be shown how to use various analytical methods borrowed from quantum mechanics, such as perturbation theory, asymptotic analysis, and group theory, to investigate many of the limiting properties of photonic crystals which are otherwise difficult to rationalize using only numerical simulations. An introductory review of nonlinear guiding in photonic lattices is also presented, as are the fabrication and application of photonic crystals. In addition, end-of-chapter exercise problems with detailed analytical and numerical solutions allow you to monitor your understanding of the material presented. This accessible text is ideal for researchers and graduate students studying photonic crystals in departments of electrical engineering, physics, applied physics and mathematics.

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Fundamentals of Photonic Crystal Guiding

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Contents

Frontmatter
pp i-vi

Contents
pp vii-x

Preface
pp xi-xi

Acknowledgements
pp xii-xii

1 - Introduction
pp 1-13

2 - Hamiltonian formulation of Maxwell's equations (frequency consideration)
pp 14-58

3 - One-dimensional photonic crystals – multilayer stacks
pp 59-92

4 - Bandgap guidance in planar photonic crystal waveguides
pp 93-109

5 - Hamiltonian formulation of Maxwell's equations for waveguides (propagation-constant consideration)
pp 110-128

6 - Two-dimensional photonic crystals
pp 129-171

7 - Quasi-2D photonic crystals
pp 172-209

8 - Nonlinear effects and gap–soliton formation in periodic media
pp 210-229

Problem solutions
pp 230-262

Index
pp 263-267

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Fundamentals of Photonic Crystal Guiding

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