Cover image Page: page_i
Title page Page: page_i
Table of Contents Page: page_i
Copyright Page: page_iv
Dedication Page: page_v
Preface of the First Edition Page: page_xv
Preface of the First Edition Page: page_xv
Preface of the Second Edition Page: page_xvii
Preface of the Second Edition Page: page_xvii
Preface of the Third Edition Page: page_xix
Preface of the Third Edition Page: page_xix
Chapter 1: Wave Theory of Optical Waveguides Page: page_1
Publisher Summary Page: page_1
1.1: Waveguide Structure Page: page_1
1.2: Formation Of Guided Modes Page: page_2
1.3: Maxwell’s Equations Page: page_7
1.4: Propagating Power Page: page_10
Chapter 2: Planar Optical Waveguides Page: page_13
Publisher Summary Page: page_13
2.1: Slab Waveguides Page: page_13
2.2: Rectangular Waveguides Page: page_27
2.3: Radiation Field from Waveguide Page: page_40
2.4: Multimode Interference (MMI) Device Page: page_46
2.5: Beam Transformation and Ray-Transfer Matrix Page: page_55
Chapter 3: Optical Fibers Page: page_67
Publisher Summary Page: page_67
3.1: Basic Equations Page: page_67
3.2: Wave Theory Of Step-Index Fibers Page: page_68
3.3: Optical Power Carried By Each Mode Page: page_77
3.4: Linearly Polarized (LP) Modes Page: page_80
3.5: Fundamental HE11 Mode Page: page_90
3.6: Dispersion Characteristics Of Step-Index Fibers Page: page_93
3.7: Wave Theory Of Graded-Index Fibers Page: page_113
3.8: Relation Between Dispersion and Transmission Capacity Page: page_127
3.9: Birefringent Optical Fibers Page: page_130
3.10: Dispersion Control in Single-Mode Optical Fibers Page: page_144
3.11: Photonic Crystal Fibers Page: page_153
Appendix 3A Vector wave equations in graded-index fibers Page: page_160
Chapter 4: Coupled Mode Theory Page: page_169
Publisher Summary Page: page_169
4.1: Derivation Of Coupled Mode Equations Based On Perturbation Theory Page: page_169
4.2: Codirectional Couplers Page: page_176
4.3: Contradirectional Coupling in Corrugated Waveguides Page: page_178
4.4: Derivation of Coupling Coefficients Page: page_187
4.5: Optical Waveguide Devices Using Directional Couplers Page: page_205
4.6: Fiber Bragg Gratings Page: page_213
Appendix 4A Derivation of Equations (4.8) and (4.9) Page: page_214
Appendix 4B Exact Solutions for the Coupled Mode Equations (4.26) and (4.27) Page: page_215
Chapter 5: Nonlinear Optical Effects in Optical Fibers Page: page_219
Publisher Summary Page: page_219
5.1: Figure of Merit for Nonlinear Effects Page: page_219
5.2: Optical Kerr Effect Page: page_220
5.3: Optical Solitons Page: page_227
5.4: Optical Pulse Compression Page: page_239
5.5: Light Scattering in Isotropic Media Page: page_243
5.6: Stimulated Raman Scattering Page: page_249
5.7: Stimulated Brillouin Scattering Page: page_252
5.8: Second-Harmonic Generation Page: page_256
5.9: Erbium-Doped Fiber Amplifier Page: page_259
5.10: Four-Wave Mixing in Optical Fiber Page: page_262
Chapter 6: Finite Element Method Page: page_271
Publisher Summary Page: page_271
6.1: Introduction Page: page_271
6.2: Finite Element Method Analysis of Slab Waveguides Page: page_272
6.3: Finite Element Method Analysis of Optical Fibers Page: page_283
6.4: Finite Element Method Analysis of Rectangular Waveguides Page: page_293
6.5: Stress Analysis of Optical Waveguides Page: page_310
6.6: Semi-Vector Fem Analysis of High-Index Contrast Waveguides Page: page_325
6A Derivation of Equation (6.59) Page: page_334
6B Proof of Equation (6.66) Page: page_335
Chapter 7: Beam Propagation Method Page: page_339
Publisher Summary Page: page_339
7.1: Basic Equations for Beam Propagation Method Based on the FFT Page: page_339
7.2: FFTBPM Analysis of Optical Wave Propagation Page: page_342
7.3: FFTBPM Analysis of Optical Pulse Propagation Page: page_346
7.4: Discrete Fourier Transform Page: page_349
7.5: Fast Fourier Transform Page: page_355
7.6: Formulation of Numerical Procedures Using Discrete Fourier Transform Page: page_358
7.7: Applications of FFTBPM Page: page_360
7.8: Finite Difference Method Analysis of Planar Optical Waveguides Page: page_373
7.9: FDMBPM Analysis of Rectangular Waveguides Page: page_381
7.10: FDMBPM Analysis of Optical Pulse Propagation Page: page_383
7.11: Semi-Vector FDMBPM Analysis of High-Index Contrast Waveguides Page: page_387
7.12: Finite Difference Time Domain (FDTD) Method Page: page_395
Chapter 8: Staircase Concatenation Method Page: page_409
Publisher Summary Page: page_409
8.1: Staircase Approximation of Waveguide Boundary Page: page_409
8.2: Amplitudes and Phases Between The Connecting Interfaces Page: page_413
8.3: Wavelength Division Multiplexing Couplers Page: page_418
8.4: Wavelength-Flattened Couplers Page: page_418
Chapter 9: Planar Lightwave Circuits Page: page_427
Publisher Summary Page: page_427
9.1: Waveguide Fabrication Page: page_428
9.2: N × N Star Coupler Page: page_429
9.3: Arrayed-Waveguide Grating Page: page_433
9.4: Crosstalk and Dispersion Characteristics of AWGS Page: page_453
9.5: Functional AWGs Page: page_465
9.6: Reconfigurable Optical Add/Drop Multiplexer (ROADM) Page: page_510
9.7: N × NMatrix Switches Page: page_514
9.8: Lattice-Form Programmable Dispersion Equalizers Page: page_517
9.9: Temporal Pulse Waveform Shapers Page: page_519
9.10: Coherent Optical Transversal Filters Page: page_524
9.11: Optical Label Recognition Circuit for Photonic Label Switch Router Page: page_529
9.12: Polarization Mode Dispersion Compensator Page: page_531
9.13: Hybrid Integration Technology Using PLC Platforms Page: page_533
9.14: Silicon Photonics Page: page_539
9.15: Basic WDM Filters Page: page_558
9.16: Crosstalk Characteristics Caused By Random-Phase Fluctuations in AWGs Page: page_610
9.17: Crosstalk Characteristics of Pcgs, Ring Resonators, and Lattice-Form Filters Page: page_641
9.18: Fourier-Transform, Integrated-Optic Spatial Heterodyne (Fish) Spectrometers Page: page_662
Chapter 10: Several Important Theorems and Formulas Page: page_685
Publisher Summary Page: page_685
10.1: Gauss’s Theorem Page: page_685
10.2: Green’s Theorem Page: page_689
10.3: Stokes’ Theorem Page: page_690
10.4: Integral Theorem of Helmholtz And Kirchhoff Page: page_695
10.5: Fresnel–Kirchhoff Diffraction Formula Page: page_697
10.6: Formulas for Vector Analysis Page: page_701
10.7: Formulas in Cylindrical And Spherical Coordinates Page: page_703
Index Page: page_705
Now in its Third Edition, Fundamentals of Optical Waveguides continues to be an essential resource for any researcher, professional or student involved in optics and communications engineering. Any reader interested in designing or actively working with optical devices must have a firm grasp of the principles of lightwave propagation. Katsunari Okamoto continues to present this difficult technology clearly and concisely with several illustrations and equations. Optical theory encompassed in this reference includes coupled mode theory, nonlinear optical effects, finite element method, beam propagation method, staircase concatenation method, along with several central theorems and formulas. Silicon photonics devices such as coupled resonator optical waveguides (CROW), lattice-form filters, and AWGs are also fully described.
This new edition gives readers not only a thorough understanding the silicon photonics devices for on-chip photonic network, but also the capability to design various kinds of devices.
- Features recent advances in PLC and silicon photonic devices
- Provides an understanding of silicon photonics and how to apply this knowledge to system design
- Describes numerical analysis methods such as BPM and FEM
