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Numerical Methods in Photonics: Optical Sciences and Applications of Light

Autor Andrei V. Lavrinenko, Jesper Lægsgaard, Niels Gregersen, Frank Schmidt, Thomas Søndergaard
en Limba Engleză Paperback – 22 noi 2017
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 with sample 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.
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Specificații

ISBN-13: 9781138074699
ISBN-10: 1138074691
Pagini: 364
Ilustrații: Approx 975 equations; 3 Tables, black and white; 96 Illustrations, black and white
Dimensiuni: 156 x 234 x 19 mm
Greutate: 0.45 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press
Seria Optical Sciences and Applications of Light

Locul publicării:Boca Raton, United States

Cuprins

Introduction. Maxwell’s Equations. FDTD. Finite-Difference Modeling of Straight Waveguides. Modeling of Nonlinear Propagation in Waveguides. The Modal Method. Green’s Function Integral Equation Methods for Electromagnetic Scattering Problems. Finite Element Method.

Notă biografică

Andrei V. Lavrinenko, Technical University of Denmark, Kongens Lyngby
Jesper Lægsgaard, Technical University of Denmark, Kongens Lyngby
Niels Gregersen, Technical University of Denmark, Kongens Lyngby
Frank Schmidt, Zuse Institute, Berlin, Germany
Thomas Søndergaard, Aalborg University, Denmark

Recenzii

"… 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

Descriere

Choosing the appropriate computational method for a photonics problem requires a clear understanding of the pros and cons of the available numerical methods. This book presents six of the most frequently used methods: FDTD, FDFD, 1+1D nonlinear propagation, modal method, Green’s function, and FEM. Each method is accompanied by a review of the mathematical principles in which it is based, along with sample scripts, illustrative examples of characteristic problem solving, and exercises. MATLAB® is used throughout the text.