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.

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