This latest edition continues the evolution toward the ultimate realization of a new technique for solving electromagnetic propagation problems. The technique combines the classical and intuitive use of a transmission line matrix (TLM) while striving for consistency with the guideposts demanded by quantum mechanics and the essential structure of electromagnetic theory. The matrix then becomes a useful vehicle for examining both coherent and noncoherent electromagnetic waves. The goal is a mathematical tool capable of solving problems related to the propagation of transient, high-speed, complex waveforms containing both symmetric and plane wave components. For such waveforms, standard classical electromagnetic theory is unable to provide a truly accurate solution since it does not properly account for the correlations among the various TLM cells. The correlations among neighboring TLM cells allow the cell waves to sense one another and to collectively participate as a coherent wave.For arbitrary signals, e.g., complex, high speed, highly non-uniform signals, the correlation model must be placed on a firmer footing to insure the proper correlation strength based on the close adherence to quantum mechanical principles. The purpose of the Third Edition is to thereby improve the correlation model, and incorporate the model into the simulations. The simulation results thus obtained show great promise in describing the full range of electromagnetic phenomena. Wave divergence and diffraction simulations, employing both composite and shorter range correlation models, have been incorporated. The models employ correlation coefficients which may be linked with quantum mechanical parameters, thus providing a deeper understanding of coherent wave fronts.

This book employs a relatively new method for solving electromagnetic problems, one which makes use of a transmission line matrix (TLM). The propagation space is imagined to be filled with this matrix. The propagating fields and physical properties are then mapped onto the matrix. Mathematically, the procedures are identical with the traditional numerical methods; however, the interpretation and physical appeal of the transmission line matrix are far superior. Any change in the matrix has an immediate physical significance. What is also very important is that the matrix becomes a launching pad for many improvements in the analysis, using more modern notions of electromagnetic waves. Eventually, the purely mathematical techniques will probably give way to the transmission line matrix method.Major revisions occur in chapters IV and VII in this second edition. The revised chapters now present an up-to-date and concise treatment on plane wave correlations and decorrelations, and provide a revised formulation of simulation to solve transient electromagnetic problems. It also takes into account semiconductors with arbitrary dielectric constant, using much smaller cell size, and extending the range of applicability and improving accuracy.

This latest edition continues the evolution toward the ultimate realization of a new technique for solving electromagnetic propagation problems. The technique combines the classical and intuitive use of a transmission line matrix (TLM) while striving for consistency with the guideposts demanded by quantum mechanics and the essential structure of electromagnetic theory. The matrix then becomes a useful vehicle for examining both coherent and noncoherent electromagnetic waves. The goal is a mathematical tool capable of solving problems related to the propagation of transient, high-speed, complex waveforms containing both symmetric and plane wave components. For such waveforms, standard classical electromagnetic theory is unable to provide a truly accurate solution since it does not properly account for the correlations among the various TLM cells. The correlations among neighboring TLM cells allow the cell waves to sense one another and to collectively participate as a coherent wave. For arbitrary signals, e.g., complex, high speed, highly non-uniform signals, the correlation model must be placed on a firmer footing to insure the proper correlation strength based on the close adherence to quantum mechanical principles. The purpose of the Third Edition is to thereby improve the correlation model, and incorporate the model into the simulations. The simulation results thus obtained show great promise in describing the full range of electromagnetic phenomena. Wave divergence and diffraction simulations, employing both composite and shorter range correlation models, have been incorporated. The models employ correlation coefficients which may be linked with quantum mechanical parameters, thus providing a deeper understanding of coherent wave fronts.

Summary: Describes transmission line matrix techniques for solving electromagnetic problems. The approach visualizes the propagation medium as divided into identical cells with the electromagnetic energy confined to transmission lines which separate the cells. The author, who works for United Silicon Carbide, develops the electromagnetic scattering equations for one, two and three dimensions, corrects the transmission line matrix for any wave properties, and incorporates boundary conditions and dispersion into the method. Finally, he outlines a computer program for finding the transient solution of a 2D semiconductor switch whose conductivity is induced by a light source.

The book covers all the aspects of Electromagnetics and Transmission Lines for undergraduate course. The book provides comprehensive coverage of vector analysis, Coulomb's law, electric field intensity, flux and Gauss's law, conductors, dielectrics, capacitance, Poisson's and Laplace's equations, magnetostatics, electrodynamic fields, Maxwell's equations, Poynting theorem, transmission lines and uniform plane waves. The knowledge of vector analysis is the base of electromagnetic engineering. Hence book starts with the discussion of vector analysis. Then it introduces the basic concepts of electrostatics such as Coulomb's law, electric field intensity due to various charge distributions, electric flux, electric flux density, Gauss's law and divergence. The book continues to explain the concept of elementary work done, conservative property, electric potential and potential difference and the energy in the electrostatic fields. The detailed discussion of current density, continuity equation, boundary conditions and various types of capacitors is also included in the book. The book provides the discussion of Poisson's and Laplace's equations and their use in variety of practical applications. The chapter on magnetostatics incorporates the explanation of Biot-Savart's law, Ampere's circuital law and its applications, concept of curl scalar and vector magnetic potentials. The book also includes the concept of force on a moving charge, force on differential current element and magnetic boundary conditions. The book covers all the details of Faraday's laws, time varying fields, Maxwell's equations and Poynting theorem. The book covers the transmission line parameters in detail along with reflection on a line, reflection loss and reflection factor. The chapter on transmission line at radio frequency includes parameters of line at high frequency, standing waves, standing wave ratio and Smith chart. Finally, the book provides the detailed study of uniform plane waves including their propagation in free space, perfect dielectrics, lossy dielectrics and good conductors. The book uses plain and lucid language to explain each topic. The book provides the logical method of explaining the various complicated topics and stepwise methods to make the understanding easy. Each chapter is well supported with necessary illustrations, self explanatory diagrams and large number of solved problems. The book explains the philosophy of the subject which makes the understanding of the concepts very clear and makes the subject more interesting.

Despite the dramatic growth in the availability of powerful computer resources, the EM community lacks a comprehensive text on the computational techniques used to solve EM problems. The first edition of Numerical Techniques in Electromagnetics filled that gap and became the reference of choice for thousands of engineers, researchers, and students. This third edition of the bestselling text reflects the continuing increase in awareness and use of numerical techniques and incorporates advances and refinements made in recent years. Most notable among these are the improvements made to the standard algorithm for the finite-difference time-domain (FDTD) method and treatment of absorbing boundary conditions in FDTD, finite element, and transmission-line-matrix methods. The author also has added a chapter on the method of lines. Numerical Techniques in Electromagnetics with MATLAB®, Third Edition continues to teach readers how to pose, numerically analyze, and solve EM problems, to give them the ability to expand their problem-solving skills using a variety of methods, and to prepare them for research in electromagnetism. Now the Third Edition goes even further toward providing a comprehensive resource that addresses all of the most useful computation methods for EM problems and includes MATLAB code instead of FORTRAN.

Electromagnetics and Transmission Lines Textbook resource covering static electric and magnetic fields, dynamic electromagnetic fields, transmission lines, antennas, and signal integrity within a single course Electromagnetics and Transmission Lines provides coverage of what every electrical engineer (not just the electromagnetic specialist) should know about electromagnetic fields and transmission lines. This work examines several fundamental electrical engineering concepts and components from an electromagnetic fields viewpoint, such as electric circuit laws, resistance, capacitance, and self and mutual inductances. The approach to transmission lines (T-lines), Smith charts, and scattering parameters establishes the underlying concepts of vector network analyzer (VNA) measurements. System-level antenna parameters, basic wireless links, and signal integrity are examined in the final chapters. As an efficient learning resource, electromagnetics and transmission lines content is strategically modulated in breadth and depth towards a single semester objective. Extraneous, distracting topics are excluded. The wording style is somewhat more conversational than most electromagnetics textbooks in order to enhance student engagement and inclusivity while conveying the rigor that is essential for engineering student development. To aid in information retention, the authors also provide supplementary material, including a homework solutions manual, lecture notes, and VNA experiments. Sample topics covered in Electromagnetics and Transmission Lines include: Vector algebra and coordinate systems, Coulomb’s law, Biot-Savart law, Gauss’s law, and solenoidal magnetic flux Electric potential, Ampere’s circuital law, Faraday’s law, displacement current, and the electromagnetic principles underlying resistance, capacitance, and self and mutual inductances The integral form of Maxwell’s equations from a conceptual viewpoint that relates the equations to physical understanding (the differential forms are also included in an appendix) DC transients and AC steady-state waves, reflections, and standing waves on T-lines Interrelationships of AC steady-state T-line theory, the Smith chart, and scattering parameters Antenna basics and line-of-sight link analysis using the Friis equation An introduction to signal integrity Electromagnetics and Transmission Lines is an authoritative textbook learning resource, suited perfectly for engineering programs at colleges and universities with a single required electromagnetic fields course. Student background assumptions are multivariable calculus, DC and AC electric circuits, physics of electromagnetics, and elementary differential equations.