内容提要 this volume addresses recent developments inmathematical modeling in three areas of optical science:diffractive optics, photonic band gap structures, and waveguides.particular emphasis is on the formulation of mathematical modelsand the design and analysis of new computational approaches. thebook contains cutting-edge discourses on areas motivated byemerging technology in optics that provide significant challengesand opportunities for applied mathematicians, researchers, andengineers.each of the three topics is presented through a series of surveypapers to provide a broad overview focusing on the mathematicalmodels. chapters are organized to present model problems, physicalprinciples, mathematical and computational approaches, andengineering applications corresponding to each of the three areas.while some of the subject matter is classical, the topics presentedare new and represent the latest developments in their respectivefields.this volume addresses recent developments inmathematical modeling in three areas of optical science:diffractive optics, photonic band gap structures, and waveguides.particular emphasis is on the formulation of mathematical modelsand the design and analysis of new computational approaches. thebook contains cutting-edge discourses on areas motivated byemerging technology in optics that provide significant challengesand opportunities for applied mathematicians, researchers, andengineers.each of the three topics is presented through a series of surveypapers to provide a broad overview focusing on the mathematicalmodels. chapters are organized to present model problems, physicalprinciples, mathematical and computational approaches, andengineering applications corresponding to each of the three areas.while some of the subject matter is classical, the topics presentedare new and represent the latest developments in their respectivefields.thiook is intended to help researchers and especially graduatestudents gain broad exposure to model problems in the areas ofoptical science:diffractive optics, photonic band gap structures,and waveguides. it includes up-to-date results and references formore experienced researchers while providing introductory materialfor those less familiar with these areas. 目录 forewordprefacechapter 1overview and applications of diffractive optics technologyj. allen coxchapter 2variational methods for diffractive optics modelinggang bao and david c. dobsochapter 3high-order boundary perturbation methodsoscar p. bruno and fernando reitichchapter 4mathematical reflections on the fourier modal method in gratingtheorylifeng lichapter 5electromagnetic models for finite aperiodic diffractive opticalelementsdennis w. prather, mark s. mirotznik, and shouyuan shichapter 6analysis of the diffraction from chiral gratings 作者介绍
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