SCATTERING MATRIX METHOD APPLIED TO PHOTONIC CRYSTALS; Daniel Maystre, Stefan Enoch, and Gérard Tayeb<BR>Introduction<BR>Scattering Matrix Method<BR>Combination of Scattering Matrix and Fictitious Sources Methods<BR>Dispersion Relations of Bloch Modes<BR>Theoretical and Numerical Studies of Photonic Crystal Properties<BR>Conclusion<BR>References<BR>FROM MULTIPOLE METHODS TO PHOTONIC CRYSTAL DEVICE MODELING; Lindsay C. Botten, Ross C. McPhedran, C. Martijn de Sterke, Nicolae A. Nicorovici, Ara A. Asatryan, Geoffrey H. Smith, Timothy N. Langtry, Thomas P. White, David P. Fussell, and Boris T. Kuhlmey<BR>Introduction<BR>Multipole Theory for Finite and Infinite Structures<BR>Multipole Modeling of Photonic Crystal Fibers<BR>Radiation Dynamics and the Local Density of States<BR>Bloch Mode Analysis of Composite PC Devices<BR>Modeling of Photonic Crystal Devices<BR>Discussion and Conclusions<BR>Acknowledgement<BR>References<BR>MODELING OF PHOTONIC CRYSTALS BY MULTILAYERED PERIODIC ARRAYS OF CIRCULAR CYLINDERS; Kiyotoshi Yasumoto and Hongting Jia<BR>Introduction<BR>Scattering by a Single Cylinder<BR>Scattering by a Periodic Array of Cylindrical Objects<BR>Two-Dimensional Scattering from Layered Periodic Arrays<BR>Three-Dimensional Scattering from Layered Crossed-Arrays<BR>Modal Analysis of Two-Dimensional Photonic Crystal Waveguides<BR>Numerical Examples<BR>Conclusions<BR>References<BR>SIMULATION AND OPTIMIZATION OF PHOTONIC CRYSTALS USING THE MULTIPLE MULTIPOLE PROGRAM; Christian Hafner, Jasmin Smajic, and Daniel Erni<BR>Introduction and Overview<BR>Introduction to Photonic Crystal Simulation<BR>Basics of the Multiple Multipole Program<BR>Handling Periodic Symmetries While Using Periodic Boundary Conditions<BR>Advanced MMP and MAS Eigenvalue Solvers<BR>Computation of Waveguide Modes in Photonic Crystals<BR>Computation of Waveguide Discontinuities<BR>Sensitivity Analysis of Photonic Crystal Devices<BR>Optimization Based on the Sensitivity Analysis<BR>Achromatic 90° Bend<BR>Filtering T-Junction<BR>Conclusions and Outlook<BR>Acknowledgement<BR>References<BR>MODE-MATCHING TECHNIQUE APPLIED TO METALLIC PHOTONIC CRYSTALS; Hongting Jia and Kiyotoshi Yasumoto<BR>Introduction<BR>Analysis of a Metallic Array Composed of Rectangular Cylinders<BR>Analysis of Photonic Crystals Consisting of Metallic Cylinders with Arbitrary Cross Section<BR>Analysis of Metallic Photonic Crystals for a General Incidence<BR>Scattering Analysis of Crossed Photonic Crystals Consisting of Arbitrarily Shaped Cylinders<BR>Diffraction from a Conductive Slab Cut Periodically by Rectangular Holes<BR>Scattering Analysis of a Conductive Slab Cut Periodically by Rectangular Holes in an Arbitrary Direction<BR>Conclusion<BR>Acknowledgement<BR>References<BR>THE METHOD OF LINES FOR THE ANALYSIS OF PHOTONIC BANDGAP STRUCTURES; Reinhold Pregla and Stefan F. Helfert<BR>Introduction<BR>Basic Theory<BR>Impedance/Admittance Transformation<BR>Determination of Floquet Modes<BR>Determining the Band Structures of Photonic Crystals<BR>Junctions in Photonic Crystal Waveguides<BR>Numerical Results<BR>Conclusion<BR>Acknowledgement<BR>References<BR>APPLICATIONS OF THE FINITE-DIFFERENCE FREQUENCY-DOMAIN MODE SOLUTION METHOD TO PHOTONIC CRYSTAL STRUCTURES; Chin-Ping Yu and Hung-Chun Chang<BR>Introduction<BR>The FDFD Model<BR>Modal Analysis of Photonic Crystal Fibers<BR>The FDFD Method for Analysis of Photonic Band Structures<BR>Calculation of 2D PC Band Diagrams<BR>Modal Analysis of Planar PC Waveguides<BR>Conclusion<BR>Acknowledgements<BR>References<BR>FINITE-DIFFERENCE TIME-DOMAIN METHOD APPLIED TO PHOTONIC CRYSTALS; Hiroyoshi Ikuno and Yoshihiro Naka<BR>Introduction<BR>Method of Solution<BR>Photonic Crystal Straight Waveguide<BR>Fundamental Optical Circuit Devices Using Photonic Crystals<BR>Wavelength Multi/Demultiplexer<BR>Conclusion<BR>References<BR>INDEX