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Optical Properties of Photonic Crystals : Springer Series in Optical Sciences - Kazuaki Sakoda

Optical Properties of Photonic Crystals

Springer Series in Optical Sciences

Hardcover

Published: 27th October 2004
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This 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 developed in a clear and detailed fashion using the 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 emission, 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 book provides both an introduction for graduate and undergraduate students and also key information for researchers in this field. The second edition features a new chapter on superfluorescence and updated text and references throughout.

From the reviews:

"Sakoda's book is a very good theoretical introduction to PBGs [photonic bandgaps]. The writing style is exceedingly clear and the mathematical formulas are carefully explained. The straightforward presentation makes it a good choice for students, Ph.D. candidates and researchers who want to tackle the topic ... I enthusiastically recommend the book to students and researchers working in the areas of solid-state and optoelectronic devices. It would be an extremely worthwhile acquisition for any university library."
-OPTICS & PHOTONICS NEWS

From the reviews of the second edition:

"This is the first comprehensive textbook on the optical properties of photonic crystals. ... Important recent developments such as the enhancement of stimulated emission, second harmonic generation ... are also treated in detail and made understandable. ... This book provides both an introduction for graduate and undergraduate students and also key information for researchers in this field." (Zeitschrift fur Kristallographie, Issue: 9-10, 2005)

"This 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 developed in a clear and detailed fashion using Green's function method. ... This book provides both an excellent introduction for graduate and undergraduate students and also key information for researchers in this field." (Ralf Mayer, Optik, Vol. 117 (7), 2006)

"The author K. Sakoda is professor at the Nanomaterials laboratory at the National Institute for Materials Science in Japan. He wrote a second edition three years after the first on the study of photonic crystals, including a new chapter on superfluorescence. The key point is that the fundamental interaction between the radiation field and matter is now controllable using photonic crystals, an invention which combines optical physics and recent microfabrication techniques. ... is well accessible to undergraduate students in physics, optics, electronics or engineering." (Physicalia Magazine, Vol. 29 (2), 2007)

Introductionp. 1
Eigenmodes of Photonic Crystalsp. 13
Wave Equations and Eigenvalue Problemsp. 13
Eigenvalue Problems in Two-Dimensional Crystalsp. 19
Scaling Law and Time Reversal Symmetryp. 21
Photonic Band Calculationp. 23
Fourier Expansion of Dielectric Functionsp. 23
Some Examplesp. 26
Phase Velocity, Group Velocity, and Energy Velocityp. 30
Calculation of Group Velocityp. 32
Complete Set of Eigenfunctionsp. 34
Retarded GreenÆs Functionp. 39
Symmetry of Eigenmodesp. 43
Group Theory for Two-Dimensional Crystalsp. 43
Classification of Eigenmodes in the Square Latticep. 55
Classification of Eigenmodes in the Hexagonal Latticep. 57
Group Theory for Three-Dimensional Crystalsp. 62
Classification of Eigenmodes in the Simple Cubic Latticep. 65
Classification of Eigenmodes in the fcc Latticep. 75
Transmission Spectrap. 81
Light Transmission and Bragg Reflectionp. 81
Field Equationsp. 83
E Polarizationp. 83
H Polarizationp. 85
Fourier Transform of the Dielectric Functionp. 87
Square Latticep. 87
Hexagonal Latticep. 89
Some Examplesp. 91
Square Latticep. 91
Hexagonal Latticep. 94
Refraction Law for Photonic Crystalsp. 95
Optical Response of Photonic Crystalsp. 99
Solutions of Inhomogeneous Equationsp. 99
Dipole Radiationp. 102
Stimulated Emissionp. 105
Sum-Frequency Generationp. 109
Three-Dimensional Casep. 109
Two-Dimensional Casep. 112
SHG in the Square Latticep. 116
Free Induction Decayp. 121
Defect Modes in Photonic Crystalsp. 125
General Propertiesp. 125
Principle of Calculationp. 128
Point Defects in a Square Latticep. 131
Point Defects in a Hexagonal Latticep. 134
Line Defects in a Square Latticep. 142
Dielectric Loss and Quality Factorp. 146
Band Calculation with Frequency-Dependent Dielectric Constantsp. 151
Principle of Calculationp. 151
Modified Plane Waves in Metallic Crystalsp. 154
Surface Plasmon Polaritonsp. 161
Plasmon Polaritons on Flat Surfacep. 162
Plasmon Resonance on a Metallic Cylinderp. 165
Symmetry of Plasmon Polaritonsp. 169
Plasmon Bands in a Square Latticep. 171
Photonic Crystal Slabsp. 177
Eigenmodes of Uniform Slabsp. 177
Symmetry of Eigenmodesp. 181
Photonic Band Structure and Transmission Spectrap. 183
Quality Factorp. 185
Low-Threshold Lasing Due to Group-Velocity Anomalyp. 189
Enhanced Stimulated Emissionp. 189
Lasing Thresholdp. 193
Analytical Expressionp. 194
Numerical Estimationp. 195
Quantum Optics in Photonic Crystalsp. 201
Quantization of the Electromagnetic Fieldp. 201
Quadrature-Phase Squeezingp. 203
Interaction Hamiltonianp. 207
Lamb Shiftp. 208
Epiloguep. 213
Referencesp. 217
Indexp. 221
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540206828
ISBN-10: 3540206825
Series: Springer Series in Optical Sciences
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 258
Published: 27th October 2004
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.5  x 1.91
Weight (kg): 1.24
Edition Number: 2
Edition Type: Revised