Computational Photonics (Hardcover)

This book explores the state-of-the art in computational modelling techniques for photonic devices

In this book, the author provides a comprehensive coverage of modern numerical modelling techniques for designing photonic devices for use in modern optical telecommunications systems. In addition the book presents the state-of-the-art in computational photonics techniques, covering methods such as full-vectorial finite-element beam propagation, bidirectional beam propagation, complex-envelope alternative direction implicit finite difference time domain, multiresolution time domain, and finite volume time domain. The book guides the reader through the concepts of modelling, analysing, designing and optimising the performance of a wide range of photonic devices by building their own numerical code using these methods.

Key Features:

* Provides a thorough presentation of the state-of-the art in computational modelling techniques for photonics
* Contains broad coverage of both frequency- and time-domain techniques to suit a wide range of photonic devices
* Reviews existing commercial software packages for photonics
* Presents the advantages and disadvantages of the different modelling techniques as well as their suitability for various photonic devices
* Shows the reader how to model, analyse, design and optimise the performance of a wide range of photonic devices by building their own numerical code using these methods
* Accompanying website contains the numerical examples representing the numerical techniques in this book, as well as several design examples (http://www.wiley.com/go/obayya_computational)

This book will serve as an invaluable reference for researchers, optical telecommunications engineers, engineers in the photonics industry. PhD and MSc students undertaking courses in the areas of photonics and optical telecommunications will also find this book of interest.

Table Of Contents

1 Introduction

1.1 Photonics: the countless possibilities of light propagation

1.2 Modelling photonics

2 Full-vectorial Beam Propagation Method

2.1 Introduction

2.2 Overview of the beam propagation methods

2.3 Maxwell’s Equations

2.4 Magnetic field formulation of the wave equation

2.5 Electric field formulation of the wave equation

2.6 Perfectly-Matched Layer

2.7 Finite Element Analysis

2.8 Derivation of BPM Equations

2.9 Imaginary-Distance BPM: Mode Solver

3 Assessment of Full-Vectorial Beam Propagation Method

3.1 Introduction

3.2 Analysis of Rectangular waveguide

3.3 Photonic Crystal Fibre

3.4 Liquid Crystal Based Photonic Crystal Fibre

3.5 Electro-optical Modulators

3.6 Switches

4 Bidirectional Beam Propagation Method

4.1 Introduction

4.2 Optical Waveguide Discontinuity Problem

4.3 Finite element analysis of discontinuity problems

4.4 Derivation of Finite Element Matrices

4.5 Application of Taylor’s Series Expansion

4.6 Computation of Reflected, Transmitted and Radiation Waves

4.7 Optical fiber-facet problem

4.8 Finite element analysis of optical fiber facets

4.9 Iterative analysis of multiple-discontinuities

4.10 Numerical assessment

5 Complex-Envelope Alternating-Direction-Implicit Finite Difference Time Domain Method with Assessment

5.1 Introduction

5.2 Maxwell's equations

5.3 Brief history of Finite Difference Time Domain (FDTD) Method

5.4 Finite Difference Time Domain (FDTD) Method

5.5 -Direction-Implicit FDTD (ADI-FDTD): Beyond the Courant Limit

5.6 Complex-Envelope ADI-FDTD (CE-ADI-

5.7 Perfectly Matched Layer (PML) Boundary Conditions

5.8 Uniaxal Perfectly Matched Layer (UPML) Absorbing Boundary Condition

5.9 PML Parameters

5.10 PML Boundary Conditions for CE-ADI-FDTD

5.11 PhC Resonant Cavities

5.12 5x5 Rectangular Lattice PhC Cavity

5.13 Triangular Lattice PhC Cavity

5.14 Wavelength Division Multiplexing

5.15 Conclusions

6. Finite Volume time Domain (FVTD) Method

6.1 Introduction

6.2 Numerical analysis

6.3 UPWIND Scheme for the Calculation

6.4 NON-DIFFUSIVE Scheme for the Flux Calculation

6.5 2D Formulation of the FVTD Method

6.6 Boundary Conditions

6.7 Nonlinear Optics

6.8 Nonlinear Optical Interactions

6.9 Extension of the FDTD Method to Nonlinear Problems

6.10 Extension of the FVTD Method to Nonlinear Problems

6.11 Conclusions

7 Numerical Analysis of Linear and Nonlinear PhC Based Devices

7.1 Introduction

7.2 FVTD Method Assessment: PhC Cavity

7.3 FVTD Method Assessment: PhC Waveguide

7.4 FVTD Method Assessment: PBG T-Branch

7.5 PhC Multimode Resonant Cavity

7.6 FDTD Analysis of Nonlinear Devices

7.7 FVTD Analysis of Nonlinear Photonic Crystal Wires

7.8 Conclusions

8 Multiresolution Time Domain

8.1 Introduction

8.2 MRTD basics

8.3 MRTD update scheme

8.4 Scaling-MRTD

8.5 Conclusions

9 MRTD Analysis of PhC-Devices

9.1 Introduction

9.2 UPML-MRTD: test and code validation

9.3 MRTD vs FDTD for the analysis of linear photonic crystals

9.4 Conclusions

10 MRTD Analysis of SHG PhC-Devices

10.1 Introduction

10.2 Second harmonic generation in optics

10.3 Extended S-MRTD for SHG analysis

10.4 SHG in PhC-waveguide

10.5 Selective SHG in compound PhC-based structures

10.6 New design for selective SHG: PhC-microcavities coupling

10.7 Conclusions

11 Dispersive Nonlinear MRTD for SHG Applications

11.1 Introduction

11.2 Dispersion analysis

11.3 SHG-MRTD scheme for dispersive materials

11.4 Simulation results

11.5 Conclusions

本書探討了光子器件的計算建模技術的最新發展。

在本書中，作者全面介紹了現代數值建模技術，用於設計用於現代光學通信系統的光子器件。此外，本書還介紹了計算光子學技術的最新進展，包括全向量有限元光束傳播、雙向光束傳播、複數包絡線交替方向隱式有限差分時域、多分辨率時域和有限體積時域等方法。本書通過使用這些方法構建自己的數值代碼，引導讀者理解建模、分析、設計和優化各種光子器件的性能。

主要特點：
- 提供了光子計算建模技術的最新發展全面介紹
- 广泛涵蓋頻域和時域技術，適用於各種光子器件
- 回顧了現有的商業軟件包，用於光子學
- 介紹了不同建模技術的優缺點，以及它們對各種光子器件的適用性
- 通過使用這些方法構建自己的數值代碼，向讀者展示如何建模、分析、設計和優化各種光子器件
- 附帶網站包含本書中數值技術的數值示例，以及幾個設計示例（http://www.wiley.com/go/obayya_computational）

本書將成為研究人員、光學通信工程師和光子學行業工程師的寶貴參考資料。攻讀光子學和光學通信相關課程的博士和碩士研究生也會對本書感興趣。

目錄：
1 引言
1.1 光子學：光傳播的無限可能性
1.2 光子學建模

2 全向量光束傳播方法
2.1 引言
2.2 光束傳播方法概述
2.3 麥克斯韋方程式
2.4 波動方程的磁場表述
2.5 波動方程的電場表述
2.6 完美匹配層
2.7 有限元分析
2.8 光束傳播方法方程的推導
2.9 虛距離光束傳播方法：模態求解器

3 全向量光束傳播方法的評估
3.1 引言
3.2 矩形波導的分析
3.3 光子晶體纖維
3.4 基於液晶的光子晶體纖維
3.5 電光調制器
3.6 閘門

4 雙向光束傳播方法
4.1 引言
4.2 光波導不連續問題
4.3 不連續問題的有限元分析
4.4 有限元矩陣的推導
4.5 泰勒級數展開的應用
4.6 反射、透射和輻射波的計算
4.7 光纖端面問題
4.8 光纖端面的有限元分析
4.9 多個不連續性的迭代分析
4.10 數值評估

5 複數包絡線交替方向隱式有限差分時域方法及其評估
5.1 引言
5.2 麥克斯韋方程式
5.3 有限差分時域方法的簡要歷史
5.4 有限差分時域方法
5.5 方向隱式有限差分時域方法：超越 Courant 限制
5.6 複數包絡線交替方向隱式有限差分時域方法