Wiley,.Integrated.Photonics.Fundumentals.(2003) --推荐给朋友们

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CONTENTS
Preface xi
About the Author xiii
1 Introduction to Integrated Photonics 1
Introduction 1
1.1 Integrated Photonics 1
1.2 Brief History of Integrated Photonics 4
1.3 Characteristics of the Integrated Photonic Components 6
1.4 Integrated Photonics Technology 10
1.5 Basic Integrated Photonic Components 13
1.6 Some Examples of Integrated Photonics Devices 18
1.7 Structure of the Book 21
References 22
Further Reading 23
2 Review of the Electromagnetic Theory of Light 24
Introduction 24
2.1 Electromagnetic Waves 25
2.1.1 Maxwell’s equations: wave equation 25
2.1.2 Wave equation in dielectric media 27
2.1.3 Monochromatic waves 29
2.1.4 Monochromatic plane waves in dielectric media 30
2.1.5 Polarisation of electromagnetic waves 32
2.1.6 Light propagation in absorbing media 34
2.2 EM Waves at Planar Dielectric Interfaces 37
2.2.1 Boundary conditions at the interface 37
2.2.2 Reflection and transmission coefficients: reflectance
and transmittance 40
2.2.3 Total internal reflection 47
References 50
Further Reading 51
viii CONTENTS
3 Theory of Integrated Optic Waveguides 52
Introduction 52
3.1 Optical Waveguides: Basic Geometries 52
3.2 Types of Modes in Planar Optical Waveguides 58
3.3 Wave Equation in Planar Waveguides 61
3.4 Guided Modes in Step-index Planar Waveguides 66
3.5 Graded-index Planar Waveguides 73
3.5.1 Multi-layer approximation 74
3.5.2 The ray approximation 76
3.5.3 Reconstruction of index profiles: the inverse WKB method 80
3.6 Guided Modes in Channel Waveguides 83
3.6.1 Marcatili’s method 85
3.6.2 The effective index method 91
Notes 96
References 96
4 Coupled Mode Theory: Waveguide Gratings 98
Introduction 98
4.1 Modal Coupling 98
4.1.1 Modal orthogonality and normalisation 98
4.1.2 Modal expansion of the electromagnetic field 100
4.1.3 Coupled mode equations: coupling coefficients 102
4.1.4 Coupling mode theory 106
4.1.5 Co-directional coupling 110
4.1.6 Contra-directional coupling 116
4.2 Diffraction Gratings in Waveguides 121
4.2.1 Waveguide diffraction gratings 121
4.2.2 Mathematical description of waveguide gratings 122
4.2.3 Collinear mode coupling induced by gratings 124
4.2.4 Coupling coefficients calculation 127
4.2.5 Coupling coefficients in modulation index gratings 128
4.2.6 Coupling coefficients in relief diffraction gratings 131
References 134
Further Reading 135
5 Light Propagation in Waveguides: The Beam Propagation
Method 136
Introduction 136
5.1 Paraxial Propagation: Fresnel Equation 137
5.2 Fast Fourier Transform Method (FFT-BPM) 138
5.2.1 Solution based on discrete fourier transform 139
5.3 Method Based on Finite Differences (FD-BPM) 142
5.4 Boundary Conditions 146
5.4.1 Transparent boundary conditions 148
5.5 Spatial Frequencies Filtering 150
5.6 Modal Description Based on BPM 153
5.6.1 Modal field calculation using BPM 157
ix
Note 161
References 161
Further Reading 162
Appendix 1 Complex Notation of the Electric and Magnetic Fields 163
Appendix 2 Phase Shifts for TE and TM Incidence 164
Appendix 3 Marcatili’s Method for Solving Guided Modes in
Rectangular Channel Waveguides 166
Appendix 4 Demonstration of Formula (4.3) 171
Appendix 5 Derivation of Formula (4.4) 172
Appendix 6 Fast Fourier Algorithm 174
Appendix 7 Implementation of the Crank-Nicolson
Propagation Scheme 176
Appendix 8 List of Abbreviations 179
Appendix 9 Some Useful Physical Constants 180
Index 181

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