Optical Properties of Photonic Crystals

Sakoda K.

This book is the first comprehensive textbook on the optical properties of photonic crystals. It deals not only with the properties of the radiation modes inside the crystals but also with their peculiar optical response to external fields. A general theory of linear and nonlinear optical response is given in a clear and detailed fashion using Green’s function method. The symmetry of the eigenmodes is treated systematically using group theory to show how it affects the optical properties of photonic crystals. Important recent developments such as the enhancement of stimulated emissions, second harmonic generation, quadrature-phase squeezing, and low-threshold lasing are also treated in detail and made understandable. Numerical methods are also emphasized. Thus this bookprovides both introductory knowledge for graduate and undergraduate students and also important ideas for researchers in this field.

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Table of contents :
1. Introduction……Page 6
2. Eigenmodes of Photonic Crystals……Page 18
3. Symmetry of Eigenmodes……Page 48
4. Transmission Spectra……Page 86
5. Optical Response of Photonic Crystals……Page 104
6. Defect Modes in Photonic Crystals……Page 130
7. Band Calculation with Frequency-Dependent Dielectric Constants……Page 156
8. Photonic Crystal Slabs……Page 182
9. Low-Threshold Lasing Due to Group-Velocity Anomaly……Page 194
10. Quantum Optics in Photonic Crystals……Page 206
11. Epilogue……Page 218
References……Page 222
Index……Page 226