Light Propagation in Periodic Media : Differential Theory and Design book cover
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Light Propagation in Periodic Media
Differential Theory and Design




ISBN 9781315214726
Published October 3, 2018 by CRC Press
432 Pages

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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  Index

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