Salah Obayya
Computational Photonics (eBook, PDF)
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Salah Obayya
Computational Photonics (eBook, PDF)
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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…mehr
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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 (href="http://www.wiley.com/go/obayya_computational">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.
Produktdetails
- Produktdetails
- Verlag: John Wiley & Sons
- Seitenzahl: 328
- Erscheinungstermin: 25. August 2010
- Englisch
- ISBN-13: 9780470667071
- Artikelnr.: 37298848
- Verlag: John Wiley & Sons
- Seitenzahl: 328
- Erscheinungstermin: 25. August 2010
- Englisch
- ISBN-13: 9780470667071
- Artikelnr.: 37298848
Professor Salah Obayya, University of Glamorgan, UK Salah Obayya received a BSc in Electronics and Communications Engineering from Mansoura University, Egypt in 1991. Between Oct 1991 and Sept 1996 he worked as an Engineer with the Telecommunications Authority, Egypt. In September 1996, Obayya joined the Department of Electrical, Electronic and Information Engineering, City University London to study for his PhD, in which he developed a novel finite element based full vectorial beam propagation algorithm for the analysis of various photonic devices. Following his PhD, and from Jan 2000 to June 2003, Obayya worked as a Senior Research Fellow at the School of Engineering, City University London. In June 2003, he joined the School of Engineering and Design, Brunel University, UK as a Lecturer, and subsequently became a Senior Lecturer in Oct. 2005. In Sept. 2006 Obayya joined Swansea University as a Reader and moved on to the University of Leeds in July 2007. Obayya is currently Full Professor and Chair in Photonics at the University of Glamorgan where he leads the "Photonics Research Group".
1 Introduction1.1 Photonics: the countless possibilities of light propagation1.2 Modelling photonics2 Full-vectorial Beam Propagation Method2.1 Introduction2.2 Overview of the beam propagation methods2.3 Maxwell's Equations2.4 Magnetic field formulation of the wave equation2.5 Electric field formulation of the wave equation2.6 Perfectly-Matched Layer2.7 Finite Element Analysis2.8 Derivation of BPM Equations2.9 Imaginary-Distance BPM: Mode Solver3 Assessment of Full-Vectorial Beam Propagation Method3.1 Introduction3.2 Analysis of Rectangular waveguide3.3 Photonic Crystal Fibre3.4 Liquid Crystal Based Photonic Crystal Fibre3.5 Electro-optical Modulators3.6 Switches4 Bidirectional Beam Propagation Method4.1 Introduction4.2 Optical Waveguide Discontinuity Problem4.3 Finite element analysis of discontinuity problems4.4 Derivation of Finite Element Matrices4.5 Application of Taylor's Series Expansion4.6 Computation of Reflected, Transmitted and Radiation Waves4.7 Optical fiber-facet problem4.8 Finite element analysis of optical fiber facets4.9 Iterative analysis of multiple-discontinuities4.10 Numerical assessment5 Complex-Envelope Alternating-Direction-Implicit Finite Difference Time Domain Method with Assessment5.1 Introduction5.2 Maxwell's equations5.3 Brief history of Finite Difference Time Domain (FDTD) Method5.4 Finite Difference Time Domain (FDTD) Method5.5 -Direction-Implicit FDTD (ADI-FDTD): Beyond the Courant Limit5.6 Complex-Envelope ADI-FDTD (CE-ADI-5.7 Perfectly Matched Layer (PML) Boundary Conditions5.8 Uniaxal Perfectly Matched Layer (UPML) Absorbing Boundary Condition5.9 PML Parameters5.10 PML Boundary Conditions for CE-ADI-FDTD5.11 PhC Resonant Cavities5.12 5x5 Rectangular Lattice PhC Cavity5.13 Triangular Lattice PhC Cavity5.14 Wavelength Division Multiplexing5.15 Conclusions6. Finite Volume time Domain (FVTD) Method6.1 Introduction6.2 Numerical analysis6.3 UPWIND Scheme for the Calculation6.4 NON-DIFFUSIVE Scheme for the Flux Calculation6.5 2D Formulation of the FVTD Method6.6 Boundary Conditions6.7 Nonlinear Optics6.8 Nonlinear Optical Interactions6.9 Extension of the FDTD Method to Nonlinear Problems6.10 Extension of the FVTD Method to Nonlinear Problems6.11 Conclusions7 Numerical Analysis of Linear and Nonlinear PhC Based Devices7.1 Introduction7.2 FVTD Method Assessment: PhC Cavity7.3 FVTD Method Assessment: PhC Waveguide7.4 FVTD Method Assessment: PBG T-Branch7.5 PhC Multimode Resonant Cavity7.6 FDTD Analysis of Nonlinear Devices7.7 FVTD Analysis of Nonlinear Photonic Crystal Wires7.8 Conclusions8 Multiresolution Time Domain8.1 Introduction8.2 MRTD basics8.3 MRTD update scheme8.4 Scaling-MRTD8.5 Conclusions9 MRTD Analysis of PhC-Devices9.1 Introduction9.2 UPML-MRTD: test and code validation9.3 MRTD vs FDTD for the analysis of linear photonic crystals9.4 Conclusions10 MRTD Analysis of SHG PhC-Devices10.1 Introduction10.2 Second harmonic generation in optics10.3 Extended S-MRTD for SHG analysis10.4 SHG in PhC-waveguide10.5 Selective SHG in compound PhC-based structures10.6 New design for selective SHG: PhC-microcavities coupling10.7 Conclusions11 Dispersive Nonlinear MRTD for SHG Applications11.1 Introduction11.2 Dispersion analysis11.3 SHG-MRTD scheme for dispersive materials11.4 Simulation results11.5 Conclusions
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
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
1 Introduction1.1 Photonics: the countless possibilities of light propagation1.2 Modelling photonics2 Full-vectorial Beam Propagation Method2.1 Introduction2.2 Overview of the beam propagation methods2.3 Maxwell's Equations2.4 Magnetic field formulation of the wave equation2.5 Electric field formulation of the wave equation2.6 Perfectly-Matched Layer2.7 Finite Element Analysis2.8 Derivation of BPM Equations2.9 Imaginary-Distance BPM: Mode Solver3 Assessment of Full-Vectorial Beam Propagation Method3.1 Introduction3.2 Analysis of Rectangular waveguide3.3 Photonic Crystal Fibre3.4 Liquid Crystal Based Photonic Crystal Fibre3.5 Electro-optical Modulators3.6 Switches4 Bidirectional Beam Propagation Method4.1 Introduction4.2 Optical Waveguide Discontinuity Problem4.3 Finite element analysis of discontinuity problems4.4 Derivation of Finite Element Matrices4.5 Application of Taylor's Series Expansion4.6 Computation of Reflected, Transmitted and Radiation Waves4.7 Optical fiber-facet problem4.8 Finite element analysis of optical fiber facets4.9 Iterative analysis of multiple-discontinuities4.10 Numerical assessment5 Complex-Envelope Alternating-Direction-Implicit Finite Difference Time Domain Method with Assessment5.1 Introduction5.2 Maxwell's equations5.3 Brief history of Finite Difference Time Domain (FDTD) Method5.4 Finite Difference Time Domain (FDTD) Method5.5 -Direction-Implicit FDTD (ADI-FDTD): Beyond the Courant Limit5.6 Complex-Envelope ADI-FDTD (CE-ADI-5.7 Perfectly Matched Layer (PML) Boundary Conditions5.8 Uniaxal Perfectly Matched Layer (UPML) Absorbing Boundary Condition5.9 PML Parameters5.10 PML Boundary Conditions for CE-ADI-FDTD5.11 PhC Resonant Cavities5.12 5x5 Rectangular Lattice PhC Cavity5.13 Triangular Lattice PhC Cavity5.14 Wavelength Division Multiplexing5.15 Conclusions6. Finite Volume time Domain (FVTD) Method6.1 Introduction6.2 Numerical analysis6.3 UPWIND Scheme for the Calculation6.4 NON-DIFFUSIVE Scheme for the Flux Calculation6.5 2D Formulation of the FVTD Method6.6 Boundary Conditions6.7 Nonlinear Optics6.8 Nonlinear Optical Interactions6.9 Extension of the FDTD Method to Nonlinear Problems6.10 Extension of the FVTD Method to Nonlinear Problems6.11 Conclusions7 Numerical Analysis of Linear and Nonlinear PhC Based Devices7.1 Introduction7.2 FVTD Method Assessment: PhC Cavity7.3 FVTD Method Assessment: PhC Waveguide7.4 FVTD Method Assessment: PBG T-Branch7.5 PhC Multimode Resonant Cavity7.6 FDTD Analysis of Nonlinear Devices7.7 FVTD Analysis of Nonlinear Photonic Crystal Wires7.8 Conclusions8 Multiresolution Time Domain8.1 Introduction8.2 MRTD basics8.3 MRTD update scheme8.4 Scaling-MRTD8.5 Conclusions9 MRTD Analysis of PhC-Devices9.1 Introduction9.2 UPML-MRTD: test and code validation9.3 MRTD vs FDTD for the analysis of linear photonic crystals9.4 Conclusions10 MRTD Analysis of SHG PhC-Devices10.1 Introduction10.2 Second harmonic generation in optics10.3 Extended S-MRTD for SHG analysis10.4 SHG in PhC-waveguide10.5 Selective SHG in compound PhC-based structures10.6 New design for selective SHG: PhC-microcavities coupling10.7 Conclusions11 Dispersive Nonlinear MRTD for SHG Applications11.1 Introduction11.2 Dispersion analysis11.3 SHG-MRTD scheme for dispersive materials11.4 Simulation results11.5 Conclusions
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
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