Light Propagation in Periodic Media: Differential Theory and Design

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