Theory of Dielectric Optical Waveguides 2e

Preface to the Second Edition

Preface to the First Edition

Chapter 1. The Asymmetric Slab Waveguide


1.1 Introduction


1.2 Geometrical Optics Treatment of Slab Waveguides


1.3 Guided Modes of the Asymmetric Slab Waveguide


1.4 Radiation Modes of the Asymmetric Slab Waveguide


1.5 Leaky Waves


1.6 Hollow Dielectric Waveguides


1.7 Rectangular Dielectric Waveguides

Chapter 2. Weakly Guiding Optical Fibers


2.1 Introduction


2.2 Guided Modes of the Optical Fiber


2.3 Waveguide Dispersion and Group Velocity


2.4 Radiation Modes of the Optical Fiber


2.5 Cutoff and Total Internal Reflection

Chapter 3. Coupled Mode Theory


3.1 Introduction


3.2 Expansion in Terms of Ideal Modes


3.3 Expansion in Terms of Local Normal Modes


3.4 Perturbation Solution of the Coupled Amplitude Equations


3.5 Coupling Coefficients for the Asymmetric Slab Waveguide


3.6 Coupling Coefficients for the Optical Fiber

Chapter 4. Applications of the Coupled Mode Theory


4.1 Introduction


4.2 Slab Waveguide with Sinusoidal Deformation


4.3 Hollow Dielectric Waveguide with Sinusoidal Deformation


4.4 Fiber with Sinusoidal Diameter Changes


4.5 Change of Polarization


4.6 Fiber with More General Interface Deformations


4.7 Rayleigh Scattering

Chapter 5. Couple d Power Theory


5.1 Introduction


5.2 Derivation of Coupled Power Equation s


5.3 cw Operation of Multimode Waveguides


5.4 Power Fluctuations


5.5 Pulse Propagation in Multimode Waveguides


5.6 Diffusion Theory of Coupled Modes


5.7 Power Coupling between Waves Traveling in Opposite Directions

Chapter 6. Theory of the Directional Coupler


6.1 Introduction


6.2 Coupled Equations for Sum and Difference Fields


6.3 General Discussion of the Directional Coupler Theory


6.4 Vector Wave Equation and Definition of Inner Product


6.5 Approximation of ße — ßo


6.6 Discussion o Approximation of ße — ßo


6.7 TM Modes of a Slab Waveguide Coupler


6.8 Numerical Examples

Chapter 7. Grating-Assisted Direction Couplers


7.1 Introduction


7.2 Theory of the Grating-Assisted Directional Coupler


7.3 Approximations for the Forward Grating Coupler


7.4 Grating-Assisted Backward Couplers


7.5 Coupling Coefficients for Grating-Assisted Couplers

Chapter 8. Approximate and Numerical Methods


8.1 Introduction


8.2 The Beam Propagation Method


8.3 The Role of the FFT in the Beam Propagation Method


8.4 Application of the Beam Propagation Method


8.5 A Numerical Method for Modal Solutions of the Wave Equation


8.6 The Effective Index Method

Chapter 9. Nonlinear Effects


9.1 Introduction


9.2 Incorporating Dispersion into the Wave Equation


9.3 Derivation of the Nonlinear Wave Envelope Equation


9.4 Redefining the Nonlinear Coefficient


9.5 Energy Conservation


9.6 Self Pace Modulation


9.7 Nonlinear Wave Equation in Frequency Domain Representation


9.8 Frequency Mixing of Pure Sine Waves


9.9 Derivation of the First Order Soliton


9.10 Soliton Properties

References

Index