1st Edition

Light Propagation in Periodic Media
Differential Theory and Design

ISBN 9780824708931
Published November 6, 2002 by CRC Press
432 Pages

USD $315.00

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Book Description

Based on more than 30 years of research on differential theories of gratings, this book describes developments in differential theory for applications in spectroscopy, acoustics, X-ray instrumentation, optical communication, information processing, photolithography, high-power lasers, high-precision engineering, and astronomy. Introducing the Fast Fourier Factorization approach to improve the convergence of a truncated series, the book examines multilayers, stacked gratings, crossed gratings, photonic crystals, and isotropic and anisotropic materials; techniques and examples in grating design; and Maxwell equations in a truncated Fourier space.

Table of Contents

General Properties
Basic Principles of the Differential Theory of Gratings
Stacks of Gratings
Fast Fourier Factorization (FFF) Method
Maxwell Equations in Truncated Fourier Space
Rigorous Coupled Wave (RCW) Method
Coordinate Transformation Methods
Gratings Made of Anisotropic Materials
Crossed Gratings
Photonic Crystals
X-Ray Gratings
Transmission Gratings
Grating Couplers and Resonant Excitation of Guided Modes
Differential Theory of Non-Periodic Media
Fourier Factorization of Maxwell Equations in Nonlinear Optics

Appendix I: The z-Dependence of the Total Field in Conical Diffraction
Appendix II: Some Formulas about Toeplitz Matrices
Appendix III: Expression of the Transverse Components of the Field in Terms of the Axial Ones
Appendix IV: The Shooting Method in Matrix Notations
List of Notations

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