《光子晶体的光学性质 第2版》PDF下载

  • 购买积分:11 如何计算积分?
  • 作  者:(日)K·迫田著
  • 出 版 社:北京/西安:世界图书出版公司
  • 出版年份:2013
  • ISBN:7510061431
  • 页数:253 页
图书介绍:本书第一部全面讲述光子晶体的光学性质的教程。书中不仅呈现了晶体内部放射模型的性质,而且给出了它们对内部场的特别的光学反应,运用格林函数方法详尽地给出了线性和非线性的光学反应综述。书中用群论系统描述了特征对称,及其对光子晶体的光学性质的影响,详尽、简明地介绍了最新成果,如受激辐射、二次谐波、正交位相压缩和低阀值激光。数值方法的重点强调使得本书不仅适合于研究生和本科生,也是该领域科研人员的不可多得的一本参考书。这是第二版,在第一版的基础上增加了有关超荧光的一章。目次:导论;特征模型的对称;透射光谱。

1.Introduction 1

2.Eigenmodes of Photonic Crystals 13

2.1 Wave Equations and Eigenvalue Problems 13

2.2 Eigenvalue Problems in Two-Dimensional Crystals 19

2.3 Scaling Law and Time Reversal Symmetry 21

2.4 Photonic Band Calculation 23

2.4.1 Fourier Expansion of Dielectric Functions 23

2.4.2 Some Examples 26

2.5 Phase Velocity,Group Velocity,and Energy Velocity 30

2.6 Calculation of Group Velocity 32

2.7 Complete Set of Eigenfunctions 34

2.8 Retarded Green's Function 39

3.Symmetry of Eigenmodes 43

3.1 Group Theory for Two-Dimensional Crystals 43

3.2 Classification of Eigenmodes in the Square Lattice 55

3.3 Classification of Eigenmodes in the Hexagonal Lattice 57

3.4 Group Theory for Three-Dimensional Crystals 62

3.5 Classification of Eigenmodes in the Simple Cubic Lattice 65

3.6 Classification of Eigenmodes in the fcc Lattice 75

4.Transmission Spectra 81

4.1 Light Transmission and Bragg Reflection 81

4.2 Field Equations 83

4.2.1 E Polarization 83

4.2.2 H Polarization 85

4.3 Fourier Transform of the Dielectric Function 87

4.3.1 Square Lattice 87

4.3.2 Hexagonal Lattice 89

4.4 Some Examples 91

4.4.1 Square Lattice 91

4.4.2 Hexagonal Lattice 94

4.5 Refraction Law for Photonic Crystals 95

5.Optical Response ofPhotonic Crystals 99

5.1 Solutions ofInhomogeneous Equations 99

5.2 Dipole Radiation 102

5.3 Stimulated Emission 105

5.4 Sum-Frequency Generation 109

5.4.1 Three-Dimensional Case 109

5.4.2 Two-Dimensional Case 112

5.5 SHG in the Square Lattice 116

5.6 Free Induction Decay 121

6.Defect Modes in Photonic Crystals 125

6.1 General Properties 125

6.2 Principle of Calculation 128

6.3 Point Defects in a Square Lattice 131

6.4 Point Defects in a Hexagonal Lattice 136

6.5 Line Defects in a Square Lattice 142

6.6 Dielectric Loss and Quality Factor 146

7.Band Calculation with Frequency-Dependent Dielectric Constants 151

7.1 Principle of Calculation 151

7.2 Modified Plane Waves in Metallic Crystals 154

7.3 Surface Plasmon Polaritons 161

7.3.1 Plasmon Polaritons on Flat Surface 162

7.3.2 Plasmon Resonance on a Metallic Cylinder 165

7.3.3 Symmetry of Plasmon Polaritons 169

7.3.4 Plasmon Bands in a Square Lattice 170

8.Photonic Crystal Slabs 175

8.1 Eigenmodes of Uniform Slabs 175

8.2 Symmetry of Eigenmodes 179

8.3 Photonic Band Structure and Transmission Spectra 181

8.4 Quality Factor 183

9.Low-Threshold Lasing Due to Group-Velocity Anomaly 187

9.1 Enhanced Stimulated Emission 187

9.2 Lasing Threshold 191

9.2.1 Analytical Expression 192

9.2.2 Numerical Estimation 193

10.Quantum Optics in Photonic Crystals 199

10.1 Quantization of the Electromagnetic Field 199

10.2 Quadrature-Phase Squeezing 201

10.3 Interaction Hamiltonian 205

10.4 Lamb Shift 206

11.Superfluorescence 211

11.1 Brief Description of Superfluorescence 211

11.2 Two-Level Atoms 213

11.3 Superfluorescence in Uniform Materials 217

11.4 Superfluorescence in Photonic Crystals 224

11.4.1 Small Distribution Volume Limit 224

11.4.2 Propagation Effect 235

12.Epilogue 243

References 247

Index 251