Electromagnetic and Photonic Simulation for the Beginner

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Rumpf, Raymond C.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Norwood : Artech House, 2022.
Temas:
Electromagnetism > Mathematics.
Photonics > Mathematics.
Finite differences.
Différences finies.
Electromagnetism > Mathematics
Finite differences
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Intro
  • Electromagnetic and Photonic Simulation for the Beginner: Finite-Difference Frequency-Domain in MATLAB®
  • Contents
  • Foreword
  • Preface
  • Introduction
  • Chapter 1 MATLAB Preliminaries
  • 1.1 Basic Structure of an FDFD Program in MATLAB
  • 1.1.1 MATLAB Code for Ideal Structure of a Program
  • 1.2 MATLAB and Linear Algebra
  • 1.2.1 Special Matrices
  • 1.2.2 Matrix Algebra
  • 1.3 Setting Up a Grid in MATLAB
  • 1.3.1 MATLAB Array Indexing
  • 1.3.2 Parameters Describing a Grid in MATLAB
  • 1.3.3 Calculating the Grid Parameters
  • 1.4 Building Geometries onto Grids
  • 1.4.1 Adding Rectangles to a Grid
  • 1.4.2 The Centering Algorithm
  • 1.4.3 The Meshgrid
  • 1.4.4 Adding Circles and Ellipses to a Grid
  • 1.4.5 Grid Rotation
  • 1.4.6 Boolean Operations
  • 1.5 Three-Dimensional Grids
  • 1.6 Visualization Techniques
  • 1.6.1 Visualizing Data on Grids
  • 1.6.2 Visualizing Three-Dimensional Data
  • 1.6.3 Visualizing Complex Data
  • 1.6.4 Animating the Fields Calculated by FDFD
  • Reference
  • Chapter 2 Electromagnetic Preliminaries
  • 2.1 Maxwell's Equations
  • 2.2 The Constitutive Parameters
  • 2.2.1 Anisotropy, Tensors, and Rotation Matrices
  • 2.2.2 Rotation Matrices and Tensor Rotation
  • 2.3 Expansion of Maxwell's Curl Equations in Cartesian Coordinates
  • 2.4 The Electromagnetic Wave Equation
  • 2.5 Electromagnetic Waves in LHI Media
  • 2.5.1 Wave Polarization
  • 2.6 The Dispersion Relation for LHI Media
  • 2.7 Scattering at an Interface
  • 2.7.1 Reflectance and Transmittance
  • 2.8 What is a Two-Dimensional Simulation?
  • 2.9 Diffraction from Gratings
  • 2.9.1 The Grating Equation
  • 2.9.2 Diffraction Efficiency
  • 2.9.3 Generalization to Crossed Gratings
  • 2.10 Waveguides and Transmission Lines
  • 2.10.1 Waveguide Modes and Parameters
  • 2.10.2 Transmission Line Parameters
  • 2.11 Scalability of Maxwell's Equations
  • 2.12 Numerical Solution to Maxwell's Equations
  • References
  • Chapter 3 The Finite-Difference Method
  • 3.1 Introduction
  • 3.2 Finite-Difference Approximations
  • 3.2.1 Deriving Expressions for Finite-Difference Approximations
  • 3.2.2 Example #1-Interpolations and Derivatives from Three Points
  • 3.2.3 Example #2-Interpolations and Derivatives from Two Points
  • 3.2.4 Example #3-Interpolations and Derivatives from Four Points
  • 3.3 Numerical Differentiation
  • 3.4 Numerical Boundary Conditions
  • 3.4.1 Dirichlet Boundary Conditions
  • 3.4.2 Periodic Boundary Conditions
  • 3.5 Derivative Matrices
  • 3.6 Finite-Difference Approximation of Differential Equations
  • 3.7 Solving Matrix Differential Equations
  • 3.7.1 Example-Solving a Single-Variable Differential Equation
  • 3.8 Multiple Variables and Staggered Grids
  • 3.8.1 Example-Solving a Multivariable Problem
  • References
  • Chapter 4 Finite-Difference Approximation of Maxwell's Equations
  • 4.1 Introduction to the Yee Grid Scheme
  • 4.2 Preparing Maxwell's Equations for FDFD Analysis

Ejemplares similares