Introduction to Optical Waveguide Analysis : Solving Maxwell's Equations and the Schrodinger Equation

個数：

Introduction to Optical Waveguide Analysis : Solving Maxwell's Equations and the Schrodinger Equation

  • 提携先の海外書籍取次会社に在庫がございます。通常3週間で発送いたします。
    【重要ご説明事項】
    1. 納期遅延や、ご入手不能となる場合が若干ございます。
    2. 複数冊ご注文の場合、分割発送となる場合がございます。
    3. 美品のご指定は承りかねます。
  • 【入荷遅延について】
    世界情勢の影響により、海外からお取り寄せとなる洋書・洋古書の入荷が、表示している標準的な納期よりも遅延する場合がございます。
    おそれいりますが、あらかじめご了承くださいますようお願い申し上げます。
  • ◆画像の表紙や帯等は実物とは異なる場合があります。
  • ◆ウェブストアでの洋書販売価格は、弊社店舗等での販売価格とは異なります。
    また、洋書販売価格は、ご注文確定時点での日本円価格となります。
    ご注文確定後に、同じ洋書の販売価格が変動しても、それは反映されません。
  • 製本 Hardcover:ハードカバー版／ページ数 275 p.
  • 言語 ENG
  • 商品コード 9780471406341
  • DDC分類 621.381331

Full Description

A complete survey of modern design and analysis techniques for optical waveguides
This volume thoroughly details modern and widely accepted methods for designing the optical waveguides used in telecommunications systems. It offers a straightforward presentation of the sophisticated techniques used in waveguide analysis and enables a quick grasp of modern numerical methods with easy mathematics. The book is intended to guide the reader to a comprehensive understanding of optical waveguide analysis through self-study. This comprehensive presentation includes:
* An extensive and exhaustive list of mathematical manipulations
* Detailed explanations of common design methods: finite element method (FEM), finite difference method (FDM), beam propagation method (BPM), and finite difference time-domain method (FD-TDM)
* Explanations for numerical solutions of optical waveguide problems with sophisticated techniques used in modern computer-aided design (CAD) software
* Solutions to Maxwell's equations and the Schrodinger equation
The authors provide excellent self-study material for practitioners, researchers, and students, while also presenting detailed mathematical manipulations that can be easily understood by readers who are unfamiliar with them. Introduction to Optical Waveguide Analysis presents modern design methods in a comprehensive and easy-to-understand format.

Contents

Preface xi

1 Fundamental Equations 1

1.1 Maxwell's Equations 1

1.2 Wave Equations 3

1.3 Poynting Vectors 7

1.4 Boundary Conditions for Electromagnetic Fields 9

Problems 10

Reference 12

2 Analytical Methods 13

2.1 Method for a Three-Layer Slab Optical Waveguide 13

2.2 Effective Index Method 20

2.3 Marcatili's Method 23

2.4 Method for an Optical Fiber 36

Problems 55

References 57

3 Finite-Element Methods 59

3.1 Variational Method 59

3.2 Galerkin Method 68

3.3 Area Coordinates and Triangular Elements 72

3.4 Derivation of Eigenvalue Matrix Equations 84

3.5 Matrix Elements 89

3.6 Programming 105

3.7 Boundary Conditions 110

Problems 113

References 115

4 Finite-Difference Methods 117

4.1 Finite-Difference Approximations 118

4.2 Wave Equations 120

4.3 Finite-Difference Expressions of Wave Equations 127

4.4 Programming 150

4.5 Boundary Conditions 153

4.6 Numerical Example 160

Problems 161

References 164

5 Beam Propagation Methods 165

5.1 Fast Fourier Transform Beam Propagation Method 165

5.2 Finite-Difference Beam Propagation Method 180

5.3 Wide-Angle Analysis Using Fade Approximant

Operators 204

5.4 Three-Dimensional Semivectorial Analysis 216

5.5 Three-Dimensional Fully Vectorial Analysis 222

Problems 227

References 230

6 Finite-Difference Time-Domain Method 233

6.1 Discretization of Electromagnetic Fields 233

6.2 Stability Condition 239

6.3 Absorbing Boundary Conditions 241

Problems 245

References 249

7 Schrodinger Equation 251

7.1 Time-Dependent State 251

7.2 Finite-Difference Analysis of Time-Independent State 253

7.3 Finite-Element Analysis of Time-Independent State 254

References 263

Appendix A Vectorial Formulas 265

Appendix B Integration Formula for Area Coordinates 267

Index 273