Mathematical Modeling in Optical Science

Gang Bao, Lawrence Cowsar, Wen Masters (Herausgeber)

Buch | Hardcover

249 Seiten

2001
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-0-89871-475-3 (ISBN)

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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.

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.

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 Nédélec
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.

Erscheint lt. Verlag	30.4.2001
Reihe/Serie	Frontiers in Applied Mathematics
Verlagsort	New York
Sprache	englisch
Maße	151 x 228 mm
Gewicht	845 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Optik
ISBN-10	0-89871-475-3 / 0898714753
ISBN-13	978-0-89871-475-3 / 9780898714753
Zustand	Neuware