Electromagnetics of Time Varying Complex Media: Frequency and Polarization Transformer, Second Edition, 2nd Edition (e-Book) book cover

Electromagnetics of Time Varying Complex Media

Frequency and Polarization Transformer, Second Edition, 2nd Edition

By Dikshitulu K. Kalluri

CRC Press

556 pages | 261 B/W Illus.

Purchasing Options:$ = USD
New in Paperback: 9781138374249
pub: 2018-11-14
Hardback: 9781439817063
pub: 2010-04-26
eBook (VitalSource) : 9781315218113
pub: 2018-09-03
from $113.37

FREE Standard Shipping!


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"

About the Author

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.

Subject Categories

BISAC Subject Codes/Headings: