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Computational Photonics

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ISBN-10: 0470688939

ISBN-13: 9780470688939

Edition: 2nd 2010

Authors: Salah Obayya

List price: $86.95
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Description:

Computational Photonics 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 element beam propagation, bidirectional beam, 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. An accompanying website containing the codes representing the numerical techniques and several design examples is provided in support of the book.
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Book details

List price: $86.95
Edition: 2nd
Copyright year: 2010
Publisher: John Wiley & Sons, Limited
Publication date: 10/15/2010
Binding: Hardcover
Pages: 328
Size: 7.00" wide x 10.50" long x 0.75" tall
Weight: 1.584
Language: English

Introduction
Photonics: the countless possibilities of light propagation
Modelling photonics
Full-vectorial Beam Propagation Method
Introduction
Overview of the beam propagation methods
Maxwell's Equations
Magnetic field formulation of the wave equation
Electric field formulation of the wave equation
Perfectly-Matched Layer
Finite Element Analysis
Derivation of BPM Equations
Imaginary-Distance BPM: Mode Solver
Assessment of Full-Vectorial Beam Propagation Method
Introduction
Analysis of Rectangular waveguide
Photonic Crystal Fibre
Liquid Crystal Based Photonic Crystal Fibre
Electro-optical Modulators
Switches
Bidirectional Beam Propagation Method
Introduction
Optical Waveguide Discontinuity Problem
Finite element analysis of discontinuity problems
Derivation of Finite Element Matrices
Application of Taylor 's Series Expansion
Computation of Reflected, Transmitted and Radiation Waves
Optical fiber-facet problem
Finite element analysis of optical fiber facets
Iterative analysis of multiple-discontinuities
Numerical assessment
Complex-Envelope Alternating-Direction-Implicit Finite Difference Time Domain Method with Assessment
Introduction
Maxwell's equations
Brief history of Finite Difference Time Domain (FDTD) Method
Finite Difference Time Domain (FDTD) Method
-Direction-Implicit FDTD (ADI-FDTD): Beyond the Courant Limit
Complex-Envelope ADI-FDTD (CE-ADI-
Perfectly Matched Layer (PML) Boundary Conditions
Uniaxal Perfectly Matched Layer (UPML) Absorbing Boundary Condition
PML Parameters
PML Boundary Conditions for CE-ADI-FDTD
PhC Resonant Cavities
5x5 Rectangular Lattice PhC Cavity
Triangular Lattice PhC Cavity
Wavelength Division Multiplexing
Conclusions
Finite Volume time Domain (FVTD) Method
Introduction
Numerical analysis
UPWIND Scheme for the Calculation
NON-DIFFUSIVE Scheme for the Flux Calculation
2D Formulation of the FVTD Method
Boundary Conditions
Nonlinear Optics
Nonlinear Optical Interactions
Extension of the FDTD Method to Nonlinear Problems
Extension of the FVTD Method to Nonlinear Problems
Conclusions
Numerical Analysis of Linear and Nonlinear PhC Based Devices
Introduction
FVTD Method Assessment: PhC Cavity
FVTD Method Assessment: PhC Waveguide
FVTD Method Assessment: PBG T-Branch
PhC Multimode Resonant Cavity
FDTD Analysis of Nonlinear Devices
FVTD Analysis of Nonlinear Photonic Crystal Wires
Conclusions
Multiresolution Time Domain
Introduction
MRTD basics
MRTD update scheme
Scaling-MRTD
Conclusions
MRTD Analysis of PhC-Devices
Introduction
UPML-MRTD: test and code validation
MRTD vs FDTD for the analysis of linear photonic crystals
Conclusions
MRTD Analysis of SHG PhC-Devices
Introduction
Second harmonic generation in optics
Extended S-MRTD for SHG analysis
SHG in PhC-waveguide
Selective SHG in compound PhC-based structures
New design for selective SHG: PhC-microcavities coupling
Conclusions
Dispersive Nonlinear MRTD for SHG Applications
Introduction
Dispersion analysis
SHG-MRTD scheme for dispersive materials
Simulation results
Conclusions