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光学中的数学模型(英文影印版)

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作者：Gang Bao 著

出版社：清华大学出版社

出版时间：2011 年2月

I S B N：9787302244981

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内容简介

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 areas motivated by emerging technology in optics that provide 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 are organized to present model problems, physical principles, mathematical and computational approaches, and engineering applications corresponding to each of the three areas. while some of the subject matter is classical, the topics presented are new and represent the latest developments in their respective fields.
　　 this book is intended to help researchers and especially graduate students gain broad exposure to model problems in the areas of optical science:diffractive optics, photonic band gap structures, and waveguides. it includes up-to-date results and references for more experienced researchers while providing introductory material for those less familiar with these areas.

作者简介

Gang Bao is Professor in the Department of Mathematics at Michigan State University, East Lansing, Michigan.
Lawrence Cowsar is Technical Manager, Optical Fiber Design and Simulation Tools Group, Bell Laboratories, Lucent Technologies in Murray Hill, New Jersey.
Wen Masters is Deputy Division Director of the Math, Computer and Information Sciences Division at the Office of Naval Research in Arlington,Virginia.
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《光学中的数学模型(英文影印版)》
foreword
preface
chapter 1
overview and applications of diffractive optics technology
j. allen cox
chapter 2
variational methods for diffractive optics modeling
gang bao and david c. dobson
chapter 3
high-order boundary perturbation methods
oscar p. bruno and fernando reitich
chapter 4
mathematical reflections on the fourier modal method in grating theory
lifeng li
chapter 5
electromagnetic models for finite aperiodic diffractive optical elements
dennis w. prather, mark s. mirotznik, and shouyuan shi
chapter 6
analysis of the diffraction from chiral gratings

.habib ammari and jean-claude nedelec
chapter 7
the mathematics of photonic crystals
peter kuchment
chapter 8
mathematical analysis and numerical approximation of optical waveguides.
anne-sophie bonnet-ben dhia and patrick joly
index