Electromagnetics of Time Varying Complex Media : Frequency and Polarization Transformer, Second Edition book cover
2nd Edition

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

ISBN 9781138374249
Published November 14, 2018 by CRC Press
556 Pages 261 B/W Illustrations

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Book Description

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.

Table of Contents


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"

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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.