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Preface to the First edition | |
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Preface to the Second edition | |
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Wave Theory of Optical Waveguides | |
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Waveguide Structure | |
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Formation of Guided Modes | |
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Maxwell's Equations | |
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Propagating Power | |
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Planar Optical Waveguides | |
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Slab Waveguides | |
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Derivation of Basic Equations | |
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Dispersion Equations for TE and TM Modes | |
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Computation of Propagation Constant | |
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Electric Field Distribution | |
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Dispersion Equation for TM Mode | |
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Rectangular Waveguides | |
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Basic Equations | |
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Dispersion Equations for E[superscript x subscript pq] and E[superscript y subscript pq] Modes | |
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Kumar's Method | |
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Effective Index Method | |
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Radiation Field from Waveguide | |
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Fresnel and Fraunhofer Regions | |
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Radiation Pattern of Gaussian Beam | |
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Multimode Interference (MMI) Device | |
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Optical Fibers | |
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Basic Equations | |
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Wave Theory of Step-index Fibers | |
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TE Modes | |
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TM Modes | |
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Hybrid Modes | |
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Optical Power Carried by Each Mode | |
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TE Modes | |
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TM Modes | |
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Hybrid Modes | |
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Linearly Polarized (LP) Modes | |
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Unified Dispersion Equation for LP Modes | |
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Dispersion Characteristics of LP Modes | |
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Propagating Power of LP Modes | |
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Fundamental HE[subscript 11] Mode | |
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Dispersion Characteristics of Step-index Fibers | |
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Signal Distortion Caused by Group Velocity Dispersion | |
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Mechanisms Causing Dispersion | |
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Derivation of Delay-time Formula | |
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Chromatic Dispersion | |
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Zero-dispersion Wavelength | |
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Wave Theory of Graded-index Fibers | |
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Basic Equations and Mode Concepts in Graded-index Fibers | |
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Analysis of Graded-index Fibers by the WKB Method | |
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Dispersion Characteristics of Graded-index Fibers | |
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Relation Between Dispersion and Transmission Capacity | |
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Multimode Fiber | |
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Single-mode Fiber | |
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Birefringent Optical Fibers | |
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Two Orthogonally-polarized Modes in Nominally Single-mode Fibers | |
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Derivation of Basic Equations | |
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Elliptical-core Fibers | |
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Modal Birefringence | |
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Polarization Mode Dispersion | |
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Dispersion Control in Single-Mode Optical Fibers | |
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Dispersion Compensating Fibers | |
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Dispersion-shifted Fibers | |
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Dispersion Flattened Fibers | |
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Broadly Dispersion Compensating Fibers | |
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Photonic Crystal Fibers | |
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Coupled Mode Theory | |
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Derivation of Coupled Mode Equations Based on Perturbation Theory | |
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Codirectional Couplers | |
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Contradirectional Coupling in Corrugated Waveguides | |
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Transmission and Reflection Characteristics in Uniform Gratings | |
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Phase-shift Grating | |
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Derivation of Coupling Coefficients | |
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Coupling Coefficients for Slab Waveguides | |
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Coupling Coefficients for Rectangular Waveguides | |
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Derivation of Coupling Coefficients Based on Mode Interference | |
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Coupling Coefficients for Optical Fibers | |
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Coupling Coefficients for Corrugated Waveguides | |
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Optical Waveguide Devices using Directional Couplers | |
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Mach-Zehnder Interferometers | |
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Ring Resonators | |
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Bistable Devices | |
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Fiber Bragg Gratings | |
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Nonlinear Optical Effects in Optical Fibers | |
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Figure of Merit for Nonlinear Effects | |
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Optical Kerr Effect | |
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Self-phase Modulation | |
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Nonlinear Schrodinger Equation | |
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Optical Solitons | |
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Fundamental and Higher-Order Solitons | |
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Fiber Loss Compensation by Optical Amplification | |
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Modulational Instability | |
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Dark Solitons | |
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Optical Pulse Compression | |
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Light Scattering in Isotropic Media | |
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Vibration of One-Dimensional Lattice | |
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Selection Rules for Light Scattering by Phonons | |
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Stimulated Raman Scattering | |
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Stimulated Brillouin Scattering | |
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Second-Harmonic Generation | |
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Erbium-doped Fiber Amplifier | |
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Four-wave Mixing in Optical Fiber | |
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Finite Element Method | |
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Introduction | |
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Finite Element Method Analysis of Slab Waveguides | |
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Variational Formulation | |
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Discretization of the Functional | |
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Dispersion Equation Based on the Stationary Condition | |
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Dispersion Characteristics of Graded-index Slab Waveguides | |
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Finite Element Method Analysis of Optical Fibers | |
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Variational Formulation | |
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Discretization of the Functional | |
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Dispersion Equation Based on the Stationary Condition | |
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Single-mode Conditions of Graded-index Fibers | |
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Variational Expression for the Delay Time | |
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Finite Element Method Analysis of Rectangular Waveguides | |
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Vector and Scalar Analyses | |
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Variational Formulation and Discretization into Finite Number of Elements | |
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Dispersion Equation Based on the Stationary Condition | |
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Stress Analysis of Optical Waveguides | |
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Energy Principle | |
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Plane Strain and Plane Stress | |
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Basic Equations for Displacement, Strain and Stress | |
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Formulation of the Total Potential Energy | |
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Solution of the Problem by the Stationary Condition | |
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Combination of Finite-Element Waveguide and Stress Analysis | |
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Semi-Vector FEM Analysis of High-Index Contrast Waveguides | |
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E-field Formulation | |
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H-field Formulation | |
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Steady State Mode Analysis | |
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Beam Propagation Method | |
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Basic Equations for Beam Propagation Method Based on the FFT | |
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Wave Propagation in Optical Waveguides | |
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Pulse Propagation in Optical Fibers | |
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FFTBPM Analysis of Optical Wave Propagation | |
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Formal Solution Using Operators | |
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Concrete Numerical Procedures Using Split-step Fourier Algorithm | |
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FFTBPM Analysis of Optical Pulse Propagation | |
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Discrete Fourier Transform | |
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Fast Fourier Transform | |
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Formulation of Numerical Procedures Using Discrete Fourier Transform | |
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Applications of FFTBPM | |
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Finite Difference Method Analysis of Planar Optical Waveguides | |
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Derivation of Basic Equations | |
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Transparent Boundary Conditions | |
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Solution of Tri-diagonal Equations | |
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FDMBPM Analysis of Rectangular Waveguides | |
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FDMBPM Analysis of Optical Pulse Propagation | |
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Semi-Vector FDMBPM Analysis of High-Index Contrast Waveguides | |
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Quasi-TE Modes | |
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Quasi-TM Modes | |
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Polarization Splitter Using Silicon-on-Insulator (SOI) Waveguide | |
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Finite Difference Time Domain (FDTD) Method | |
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Staircase Concatenation Method | |
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Staircase Approximation of Waveguide Boundary | |
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Amplitudes and Phases Between the Connecting Interfaces | |
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Wavelength Division Multiplexing Couplers | |
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Wavelength-flattened Couplers | |
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Planar Lightwave Circuits | |
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Waveguide Fabrication | |
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N x N Star Coupler | |
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Arrayed-waveguide Grating | |
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Principle of Operation and Fundamental Characteristics | |
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Analytical Treatment of AWG Demultiplexing Properties | |
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Waveguide Layout of AWG | |
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Gaussian Spectral Response AWG | |
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Polarization Dependence of Pass Wavelength | |
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Vernier Technique for the Center Wavelength Adjustment | |
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Crosstalk and Dispersion Characteristics of AWGs | |
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Crosstalk of AWGs | |
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Dispersion Characteristics of AWGs | |
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Functional AWGs | |
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Flat Spectral Response AWG | |
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Loss Reduction in AWG | |
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Unequal Channel Spacing AWG | |
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Variable Bandwidth AWG | |
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Uniform-loss and Cyclic-frequency (ULCF) AWG | |
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Athermal (Temperature Insensitive) AWG | |
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Multiwavelength Simultaneous Monitoring Device Using AWG | |
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Phase Error Compensation of AWG | |
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Tandem AWG Configuration | |
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Reconfigurable Optical Add/Drop Multiplexer (ROADM) | |
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N x N Matrix Switches | |
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Lattice-form Programmable Dispersion Equalizers | |
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Temporal Pulse Waveform Shapers | |
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Coherent Optical Transversal Filters | |
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Optical Label Recognition Circuit for Photonic Label Switch Router | |
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Polarization Mode Dispersion Compensator | |
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Hybrid Integration Technology Using PLC Platforms | |
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Several Important Theorems and Formulas | |
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Gauss's Theorem | |
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Green's Theorem | |
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Stokes' Theorem | |
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Integral Theorem of Helmholtz and Kirchhoff | |
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Fresnel-Kirchhoff Diffraction Formula | |
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Formulas for Vector Analysis | |
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Formulas in Cylindrical and Spherical Coordinates | |
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Cylindrical Coordinates | |
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Spherical Coordinates | |
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Index | |