Electromagnetics of Time Varying Complex Media: Frequency and Polarization Transformer, Second Edition

PART I - THEORY: ELECTROMAGNETIC WAVE TRANSFORMATION IN A TIME-VARYING MAGNETOPLASMA MEDIUM Isotropic Plasma: Dispersive Medium Basic Field Equations for a Cold Isotropic Plasma One Dimensional Equations Profile Approximations for Simple Solutions Dispersive Media Space-Varying Time-Invariant Isotropic Medium Basic Equations Dielectric-Dielectric Spatial Boundary Reflection by a Plasma Half-Space Reflection by a Plasma Slab Inhomogeneous Slab Problem Time-Varying and Space-Invariant Isotropic Plasma Medium Basic Equations Reflection by a Suddenly Created Unbounded Plasma Medium omega-k Diagram and the Wiggler Magnetic Field Power and energy considerations Perturbation from Step Profile* Causal Green's Function for Temporally-Unlike Plasma Media Transmission and Reflection Coefficients for a General Profile Transmission and Reflection Coefficients for a Linear Profile Validation of the Perturbation Solution by Comparing with the Exact Solution Hump Profile Comparison Identities Switched Plasma Half-Space: A and B Waves Steady-State Solution Transient Solution Switched Plasma Slab: B Wave Pulses Development of the Problem Transient Solution Degenerate Case A Component From Steady-State Solution Numerical Results Magnetoplasma Medium: L, R, O, and X Waves Basic Field Equations for a Cold Anisotropic Plasma Medium One Dimensional Equations: Longitudinal Propagation, L and R waves One Dimensional Equations: Transverse Propagation: O wave One Dimensional Solution: Transverse Propagation: X wave Dielectric Tensor of a Lossy Magnetoplasma Medium Periodic Layers of Magnetoplasma Surface Magnetoplasmons Surface Magnetoplasmons in Periodic Media Switched Magnetoplasma Medium One Dimensional Equations: Longitudinal Propagation Sudden Creation: Longitudinal Propagation Numerical Results: Longitudinal Propagation Damping Rates: Longitudinal Propagation Sudden Creation: Transverse Propagation, X wave Additional Numerical Results Sudden Creation: Arbitrary Direction of the Static Magnetic Field Frequency Shifting of Low Frequency Waves Longitudinal Propagation in a Magnetized Time-Varying Plasma Perturbation from Step Profile Causal Green's Function for Temporally-Unlike Magnetized Plasma Media Scattering Coefficients for a General Profile Scattering Coefficients for a Linear Profile Numerical Results Wiggler Magnetic Field E-formulation Summary Adiabatic Analysis of the MSW in a Transient Magnetoplasma Adiabatic Analysis for R Wave Modification of the Source Wave by a Slowly Created Plasma Modification of the Whistler Wave by a Collapsing Plasma Medium Alternate Model for a Collapsing Plasma Modification of the Whistler Wave by a Collapsing Magnetic Field Adiabatic Analysis for X Wave Miscellaneous Topics Proof of the Principle Experiments Moving Ionization Front The Finite-Difference Time-Domain Method Lorentz Medium Mode Conversion of X Wave Frequency-Shifting Topics of Current Research Interest Chiral Media: R and L Waves Solitons Astrophysical Applications Virtual Photoconductivity References APPENDICES Appendix A: Constitutive Relation for a Time-Varying Plasma Medium Appendix B: Damping Rates ofWaves in a Switched Magnetoplasma Medium: Longitudinal Propagation Appendix C: Wave Propagation in a Switched Magnetoplasma Mediaum: Transverse Propagation Appendix D: Frequency Shifting Using Magnetoplasma Medium: Flash Ionization Appendix E: Frequency Upshifting with Power Intensification of a WhistlerWave by a Collapsing Plasma Medium Appendix F: Conversion of a Whistler Wave into a Controllable HelicalWiggler Magnetic Field Appendix G: Effect of Switching a Magnetoplasma Medium on the Duration of a Monochromatic Pulse Appendix H: Modificationof an Electromagnetic Wave by a Time-Varying Switched Magnetoplasma Medium: Transverse Propagation PART II - NUMERICAL SIMULATION: FDTD FOR TIME-VARYING MEDIUM FDTD Method Air-Transmission Line FDTD Solution Numerical Dispersion Stability Limit and Courant Condition Open Boundaries Source Excitation Frequency Response Waves in Inhomogeneous, Nondispersive Media: FDTD Solution Waves in Inhomogeneous, Dispersive Media Waves in Debye Material: FDTD Solution Total Field/Scattered Field Formulation Perfectly Matched Layer: Lattice Truncation Exponential Time Stepping FDTD for a Magnetoplasma Three-Dimensional FDTD Appendix I: FDTD Simulation of Electromagnetic Pulse Interaction with a Switched Plasma Slab Appendix J: FDTD Simulation of EMW Transfomation in a Dynamic Magnetized Plasma Appendix K: Three-Dimensional FDTD Simulation of EMW Transformation in a Dynamic Inhomogeneous Magnetized Plasma PART III - APPLICATION: FREQUENCY AND POLARIZATION TRANSFORMER-SWITCHED MEDIUM IN A CAVITY Time-Varying Medium in a Cavity and the Effect of the Switching Angle Sudden Creation in a Cavity and Switching Angle FDTD Method for a Lossy Plasma with Arbitrary Space and Time Profiles for the Plasma Density Switching a Magnetoplasma: Longitudinal Modes Switching a Magnetoplasma Medium: X Wave Switching Off the Magnetoplasma by Collapse of the Ionization: Whistler Source Wave Switching off the Magnetoplasma by Collapse of the Background Magnetic Field: Whistler Source Wave Appendix L: Plasma-Induced Wiggler Magnetic Field in a Cavity Appendix M: Plasma-Induced Wiggler Magnetic Field in a Cavity: II-The FDTD Method for a Switched Lossy Plasma Appendix N: Frequency and Polarization Transformer: Longitudnal Modes Appendix O: Frequency and Polarization Transformer: Transverse Modes-I Zero Rise Time Appendix P: Frequency and Polarization Transformer: Transverse Modes-II Finite Rise Time Appendix Q: Frequency Transformation of a Whistler Wave by a Collapsing Plasma Medium in a Cavity: FDTD Solution EXPERIMENTS Mark Rader: 1 Mark Rader: 2 Spencer Kuo Mori and Joshi References Problems Each chapter includes an "Introduction" and "References"