Numerical Methods in Photonics

Andrei V. Lavrinenko, Jesper Lægsgaard, Niels Gregersen, Frank Schmidt, Thomas Søndergaard

September 17, 2014 by CRC Press
Reference - 362 Pages - 96 B/W Illustrations
ISBN 9781466563889 - CAT# K16010
Series: Optical Sciences and Applications of Light

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Features

    • Discusses six of the most frequently used modern numerical techniques applied in photonics
    • Includes self-contained chapters covering the following methods: FDTD, FDFD, 1+1D nonlinear propagation, modal method, Green’s function, and FEM
    • Reviews the mathematical principles on which each method is based
    • Includes sample scripts, illustrative examples of characteristic problem solving, and exercises
    • Teaches you how to write your own scripts from scratch

    Summary

    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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