Title Page -- Table of Contents -- Preface -- List of Acronyms -- List of Symbols -- 1 Electromagnetic Theory of Light -- Introduction -- 1.1 Electromagnetic Waves -- 1.2 Monochromatic Waves -- 1.3 Wave Equation Formulation in Terms of the Transverse Field Components -- References -- 2 The Beam-Propagation Method -- Introduction -- 2.1 Paraxial Propagation: The Slowly Varying Envelope Approximation (SVEA). Full Vectorial BPM Equations -- 2.2 Semi-Vectorial and Scalar Beam Propagation Equations -- 2.3 BPM Based on the Finite Difference Approach -- 2.4 FD-Two-Dimensional Scalar BPM -- 2.5 Von Neumann Analysis of FD-BPM -- 2.6 Boundary Conditions -- 2.7 Obtaining the Eigenmodes Using BPM -- References -- 3 Vectorial and Three-Dimensional Beam Propagation Techniques -- Introduction -- 3.1 Two-Dimensional Vectorial Beam Propagation Method -- 3.2 Three-Dimensional BPM Based on the Electric Field -- 3.3 Three-Dimensional BPM Based on the Magnetic Field -- References -- 4 Special Topics on BPM -- Introduction -- 4.1 Wide-Angle Beam Propagation Method -- 4.2 Treatment of Discontinuities in BPM -- 4.3 Bidirectional BPM -- 4.4 Active Waveguides -- 4.5 Second-Order Non-Linear Beam Propagation Techniques -- 4.6 BPM in Anisotropic Waveguides -- 4.7 Time Domain BPM -- 4.8 Finite-Difference Time-Domain Method (FD-TD) -- References -- 5 BPM Analysis of Integrated Photonic Devices -- Introduction -- 5.1 Curved Waveguides -- 5.2 Tapers: Y-Junctions -- 5.3 Directional Couplers -- 5.4 Multimode Interference Devices -- 5.5 Waveguide Gratings -- 5.6 Arrayed Waveguide Grating Demultiplexer -- 5.7 Mach-Zehnder Interferometer as Intensity Modulator -- 5.8 TE-TM Converters -- 5.9 Waveguide Laser -- 5.10 SHG Using QPM in Waveguides -- References -- Appendix A Finite Difference Approximations of Derivatives -- A.1 FD-Approximations of First-Order Derivatives.

A.2 FD-Approximation of Second-Order Derivatives -- Appendix B Tridiagonal System: The Thomas Method Algorithm -- Reference -- Appendix C Correlation and Relative Power between Optical Fields -- C.1 Correlation between Two Optical Fields -- C.2 Power Contribution of a Waveguide Mode -- References -- Appendix D Poynting Vector Associated to an Electromagnetic Wave Using the SVE Fields -- D.1 Poynting Vector in 2D-Structures -- D.2 Poynting Vector in 3D-Structures -- Reference -- Appendix E Finite Difference FV-BPM Based on the Electric Field Using the Scheme Parameter Control -- E.1 First Component of the First Step -- E.2 Second Component of the First Step -- E.3 Second Component of the Second Step -- E.4 First Component of the Second Step -- Appendix F Linear Electro-Optic Effect -- Reference -- Appendix G Electro-Optic Effect in GaAs Crystal -- References -- Appendix H Electro-Optic Effect in LiNbO3 Crystal -- References -- Appendix I Padé Polynomials for Wide-Band TD-BPM -- Appendix J Obtaining the Dispersion Relation for a Monomode Waveguide Using FDTD -- Reference -- Appendix K Electric Field Distribution in Coplanar Electrodes -- K.1 Symmetric Coplanar Strip Configuration -- K.2 Symmetric Complementary Coplanar Strip Configuration -- References -- Appendix L Three-Dimensional Anisotropic BPM Based on the Electric Field Formulation -- L.1 Numerical Implementation -- References -- Appendix M Rate Equations in a Four-Level Atomic System -- References -- Appendix N Overlap Integrals Method -- References -- Index -- End User License Agreement.