光学中的数学模型

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

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

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.