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Mathematical Modeling in Optical Science

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Mathematical Modeling in Optical Science

Mathematical Modeling in Optical Science

Gang Bao
Lawrence Cowsar
Wen Masters
April 2001
Hardback
9780898714753
AUD$195.00
inc GST
Hardback
    Description

    This volume addresses recent developments in mathematical modeling in three areas of optical science: diffractive optics, photonic band gap structures, and waveguides. Particular emphasis is on the formulation of mathematical models and the design and analysis of new computational approaches. The book contains cutting-edge discourses on emerging technology in optics that provides significant challenges and opportunities for applied mathematicians, researchers, and engineers. Each of the three topics is presented through a series of survey papers to provide a broad overview focusing on the mathematical models. Chapters present model problems, physical principles, mathematical and computational approaches, and engineering applications corresponding to each of the three areas. Although some of the subject matter is classical, the topics presented are new and represent the latest developments in their respective fields.

    Product details

    April 2001
    Hardback
    9780898714753
    349 pages
    263 × 186 × 23 mm
    0.836kg
    This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.

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    Contents

    Table of Contents

    • Preface
    • 1. Overview and applications of diffractive optics technology J. Allen Cox
    • 2. Variational methods for diffractive optics modeling Gang Bao and David C. Dobson
    • 3. High-order boundary perturbation methods Oscar P. Bruno and Fernando Reitich
    • 4. Mathematical reflections on the Fourier modal method in grating theory Lifeng Li
    • 5. Electromagnetic models for finite aperiodic diffractive optical elements Dennis W. Prather, Mark S. Mirotznik and Shouyuan Shi
    • 6. Analysis of the diffraction from Chiral gratings Habib Ammari and Jean Claude Nédélec
    • 7. The mathematics of photonic crystals Peter Kuchment
    • 8. Mathematical analysis and numerical approximation of optical waveguides Anne-Sophie Bonnet-Ben Dhia and Patrick Joly
    • Index.
      • Show more
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    Additional Information
    About the authors
      Editors
    • Gang Bao
    • Lawrence Cowsar
    • Wen Masters

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