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Optical Sciences and Applications of Light Ser.: Numerical Methods in Photonics by Jesper Lægsgaard, Thomas Søndergaard, Andrei V. Lavrinenko, Niels Gregersen and Frank Schmidt (2017, Trade Paperback)

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Product Information

Simulation and modeling using numerical methods is one of the key instruments in any scientific work. In the field of photonics, a wide range of numerical methods are used for studying both fundamental optics and applications such as design, development, and optimization of photonic components. Modeling is key for developing improved photonic devices and reducing development time and cost. Choosing the appropriate computational method for a photonics modeling problem requires a clear understanding of the pros and cons of the available numerical methods. Numerical Methods in Photonics presents six of the most frequently used methods: FDTD, FDFD, 1+1D nonlinear propagation, modal method, Green's function, and FEM. After an introductory chapter outlining the basics of Maxwell's equations, the book includes self-contained chapters that focus on each of the methods. Each method is accompanied by a review of the mathematical principles in which it is based, along withsample scripts, illustrative examples of characteristic problem solving, and exercises. MATLAB® is used throughout the text. This book provides a solid basis to practice writing your own codes. The theoretical formulation is complemented by sets of exercises, which allow you to grasp the essence of the modeling tools.

Product Identifiers

Publisher
CRC Press LLC
ISBN-10
1138074691
ISBN-13
9781138074699
eBay Product ID (ePID)
7038857809

Product Key Features

Author
Thomas Søndergaard, Frank Schmidt, Jesper Lægsgaard, Andrei V. Lavrinenko, Niels Gregersen
Publication Name
Numerical Methods in Photonics
Format
Trade Paperback
Language
English
Subject
Lasers & Photonics, Electrical, Physics / General
Series
Optical Sciences and Applications of Light Ser.
Publication Year
2017
Type
Textbook
Subject Area
Technology & Engineering, Science
Number of Pages
362 Pages

Dimensions

Item Length
9.2 in
Item Width
6.1 in
Item Weight
16 Oz

Additional Product Features

Intended Audience
College Audience
Reviews
"... useful to students and researchers who want to have a deeper understanding of the methods commonly used in computational electromagnetics. After addressing the basic principles, this book provides the readers with the details and mathematical/numerical framework of commonly used methods including FDTD, finite element, Green's function, and modal. It then goes on to more advanced topics such as modelling nonlinear materials and materials with gain. This book is a useful addition to the library of any research university." --C T Chan, Hong Kong University of Science and Technology
Table of Content
Introduction Maxwell's Equations Notation Maxwell's Equations Material Equations Frequency Domain 1D and 2D Maxwell's Equations Wave Equations Waveguides and Eigenmodes FDTD Introduction Numerical Dispersion and Stability Analysis of the FDTD Method Making Your Own 1D FDTD Absorbing Boundary Conditions FDTD Method for Materials with Frequency Dispersion FDTD Method for Nonlinear Materials, Materials with Gain and Lasing Conclusion Exercises References Finite-Difference Modeling of Straight Waveguides Introduction General Considerations Modified Finite-Difference Operators Numerical Linear Algebra in MATLAB® Two-Dimensional Waveguides and the Yee Mesh Exercises Modeling of Nonlinear Propagation in Waveguides Introduction Formalism Nonlinear Polarization The Nonlinear Schrödinger Equation Numerical Implementation Exercises The Modal Method Introduction Eigenmodes The 1D Geometry The 2D Geometry Periodic Structures Current Sources Exercises References Green's Function Integral Equation Methods for Electromagnetic Scattering Problems Introduction Theoretical Foundation Green's Function Area Integral Equation Method Green's Function Volume Integral Equation Method Green's Function Surface Integral Equation Method (2D) Construction of Two-Dimensional Green's Functions for Layered Structures Construction of the Periodic Green's Function Reflection from a Periodic Surface Microstructure Iterative Solution Scheme Taking Advantage of the Fast Fourier Transform Further Reading Exercises References Finite Element Method Introduction: Helmholtz Equation in 1D General Scattering Problem in 1D Mathematical Background: Maxwell and Helmholtz Scattering Problems and Their Variational Forms FEM for Helmholtz Scattering in 2D and 3D FEM for Maxwell Scattering in 2D and 3D Exercises
Copyright Date
2014
Dewey Decimal
621.36/501518
Dewey Edition
23
Illustrated
Yes

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Optical Sciences and Applications of Light Ser.: Numerical Methods in Photonics by Jesper Lægsgaard, Thomas Søndergaard, Andrei V. Lavrinenko, Niels Gregersen and Frank Schmidt (2017, Trade Paperback)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Textbooks

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