2nd Edition

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

By Dikshitulu K. Kalluri Copyright 2010
    564 Pages 261 B/W Illustrations
    by CRC Press

    556 Pages 261 B/W Illustrations
    by CRC Press

    Completely revised and updated to reflect recent advances in the fields of materials science and electromagnetics, Electromagnetics of Time Varying Complex Media, Second Edition provides a comprehensive examination of current topics of interest in the research community—including theory, numerical simulation, application, and experimental work. Written by a world leader in the research of frequency transformation in a time-varying magnetoplasma medium, the new edition of this bestselling reference discusses how to apply a time-varying medium to design a frequency and polarization transformer.

    This authoritative resource remains the only electromagnetic book to cover time-varying anisotropic media, Frequency and Polarization Transformer based on a switched magnetoplasma medium in a cavity, and FDTD numerical simulation for time-varying complex medium. Providing a primer on the theory of using magnetoplasmas for the coherent generation of tunable radiation, early chapters use a mathematical model with one kind of complexity—eliminating the need for high-level mathematics. Using plasma as the basic medium to illustrate various aspects of the transformation of an electromagnetic wave by a complex medium, the text highlights the major effects of each kind of complexity in the medium properties. This significantly expanded edition includes:

    • Three new parts: (a) Numerical Simulation: FDTD Solution, (b) Application: Frequency and Polarization Transformer, and (c) Experiments
    • A slightly enhanced version of the entire first edition, plus 70% new material
    • Reprints of papers previously published by the author—providing researchers with complete access to the subject

    The text provides the understanding of research techniques useful in electro-optics, plasma science and engineering, microwave engineering, and solid state devices. This complete resource supplies an accessible treatment of the effect of time-varying parameters in conjunction with one or more additional kinds of complexities in the properties of particular mediums.


    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
    ω-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

    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
    Astrophysical Applications
    Virtual Photoconductivity


    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

    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


    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


    Mark Rader: 1
    Mark Rader: 2
    Spencer Kuo
    Mori and Joshi

    Each chapter includes an "Introduction" and "References"


    Dikshitulu K. Kalluri, Ph.D., is Professor of Electrical and Computer Engineering at the University of Massachusetts Lowell, as well as the coordinator of the doctoral programs of the department. Born in Chodavaram, India, he received his B.E. degree in electrical engineering from Andhra University, India; a D.I.I Sc. degree in high-voltage engineering from the Indian Institute of Science in Bangalore, India; a master’s degree in electrical engineering from the University of Wisconsin, Madison, and his doctorate in electrical engineering from the University of Kansas, Lawrence.

    Dr. Kalluri began his career at the Birla Institute, Ranchi, India, advancing to the rank of Professor, heading the Electrical Engineering Department, then serving as (Dean) Assistant Director of the institute. He has collaborated with research groups at the Lawrence Berkeley Laboratory, the University of California Los Angeles, the University of Southern California, and the University of Tennessee, and has worked several summers as a faculty research associate at Air Force Laboratories. Since 1984, he has been with the University of Massachusetts Lowell, He recently established the Electromagnetics and Complex Media Research Laboratory.

    Dr. Kalluri, a fellow of the Institute of Electronic and Telecommunication Engineers and a member of Eta Kappa Nu and Sigma Xi, has published many technical articles and reviews.