Numerical Methods in Photonics

Contents

Series Preface

Preface

Authors

Acronyms

Chapter 1  Introduction

Chapter 2  Maxwell’s Equations

2.1    Notation

2.2    Maxwell’s Equations

2.3    Material Equations

2.4    Frequency Domain

2.5    1D and 2D Maxwell’s Equations

2.6    Wave Equations

2.7    Waveguides and Eigenmodes

2.7.1  Eigenvalue Problem

2.7.2  Slab Waveguides

2.7.3  Boundary Conditions and Eigenmode Classes

2.7.4  Orthogonality

References

Chapter 3  Finite-Difference Time-Domain Method

3.1    Introduction

3.1.1  Finite-Difference Approximations of Derivatives

3.1.2  Finite-Difference Approximation of 1D Maxwell’s Equations

3.1.3  Fortran, C, MATLAB^®, Etc., Adaptation of the FDTD Method

3.1.4  FDTD Method in 3D

3.1.5  FDTD Method in 2D

3.2    Numerical Dispersion and ...