**Author**: Vladimir Rojansky

**Publisher:** Courier Corporation

**ISBN:**

**Category:** Science

**Page:** 464

**View:** 950

This comprehensive introduction to classical electromagnetic theory covers the major aspects, including scalar fields, vectors, laws of Ohm, Joule, Coulomb, Faraday, Maxwell's equation, and more. With numerous diagrams and illustrations.

Only 30% Of This Book Deals With Theory, The Rest Of It Is Application Of This Theory To Various Situations Of Different Levels Of Complexity. In Each Case The Reason For The Choice Of The Method Is Explained, And Various Doubts Which Assail The Minds Of Most Students Have Been Tackled. The Solved Examples In The Book Do Not Deal With Mere Substitution Of Numerical Values Of Formulae. They Are Aimed At Establishing A Strong Foundation Of Knowledge.All The Required Mathematics Has Been Explained In The First Chapter To Avoid The Need To Refer Frequently To Other Books In Mathematics. At The End Of Each Chapter A Summary Of The Achievements Is Given Along With Comments On The Nature Of Difficulties Encountered, And The Reader Is Thereafter Prepared For The Objectives To Be Attained In The Following Chapter. The Emphasis Throughout The Book Is On A Physical Understanding Of Fields And Waves And Their Characteristics, Rather Than Getting Lost In A Maze Of Mathematical Manipulations.This Is An Introductory Textbook Intended To Give The Reader A Solid Grounding In The Subject And To Prepare Him To Deal With More Advanced Texts. The Material Has Been Tested In One-Semester Courses Given By The Author In Various Colleges In Pune.

Presents the introductory theory and applications of Maxwell's equations to electromagnetic field problems. Unlike other texts, Maxwell's equations and the associated vector mathematics are developed early in the work, allowing readers to apply them at the outset. Its unified treatment of coordinate systems saves time in developing the rules for vector manipulations in ways other than the rectangular coordinate system. The following chapters cover static and quasi-static electric and magnetic fields, wave reflection and transmission at plane boundaries, the Poynting power theorem, rectangular waveguide mode theory, transmission lines, and an introduction to the properties of linear antennas and aperture antennas. Includes an expanded set of problems, many of which extend the material developed in the chapters.

Presents the introductory theory and applications of Maxwell's equations to electromagnetic field problems. Unlike other texts, Maxwell's equations and the associated vector mathematics are developed early in the work, allowing readers to apply them at the outset. Its unified treatment of coordinate systems saves time in developing the rules for vector manipulations in ways other than the rectangular coordinate system. The following chapters cover static and quasi-static electric and magnetic fields, wave reflection and transmission at plane boundaries, the Poynting power theorem, rectangular waveguide mode theory, transmission lines, and an introduction to the properties of linear antennas and aperture antennas. Includes an expanded set of problems, many of which extend the material developed in the chapters.

The Method of Lines (MOL) is a versatile approach to obtaining numerical solutions to partial differential equations (PDEs) as they appear in dynamic and static problems. This method, popular in science and engineering, essentially reduces PDEs to a set of ordinary differential equations that can be integrated using standard numerical integration methods. Its significant advantage is that the analysis algorithms follow the physical wave propagation and are therefore efficient. This is because the fields on the discretisation lines are described by generalised transmission line (GTL) equations. With this formulation we have a connection to the well known transmission line theory and resulting in an easy understanding. The method of lines is a very accurate and powerful way to analyze electromagnetic waves, enabling a full-wave solution without the computational burden of pure finite element or finite difference methods. With Analysis of Electromagnetic Fields and Waves, Reinhold Pregla describes an important and powerful method for analyzing electromagnetic waves. This book: Describes the general analysis principles for electromagnetic fields. Includes applications in microwave, millimetre wave and optical frequency regions. Unifies the analysis by introducing generalised transmission line (GTL) equations for all orthogonal coordinate systems and with materials of arbitrary anisotropy as a common start point. Demonstrates a unique analysis principle with the numerical stable impedance/admittance transformation and a physical adapted field transformation concept that is also useful for other modelling algorithms. Includes chapters on Eigenmode calculations for various waveguides, concatenations and junctions of arbitrary number of different waveguide sections in complex devices, periodic structures (e.g. Bragg gratings, meander lines, clystron resonators, photonic crystals), antennas (e.g. circular and conformal). Enables the reader to solve partial differential equations in other physical areas by using the described principles. Features an accompanying website with program codes in Matlab© for special problems. Analysis of Electromagnetic Fields and Waves will appeal to electromagnetic field practitioners in primary and applied research as well as postgraduate students in the areas of photonics, micro- and millimetre waves, general electromagnetics, e.g. microwave integrated circuits, antennas, integrated and fibre optics, optoelectronics, nanophotonics, microstructures, artificial materials.

This book presents the concept of fractional dimensional space applied to the use of electromagnetic fields and waves. It provides demonstrates the advantages in studying the behavior of electromagnetic fields and waves in fractal media. The book presents novel fractional space generalization of the differential electromagnetic equations is provided as well as a new form of vector differential operators is formulated in fractional space. Using these modified vector differential operators, the classical Maxwell's electromagnetic equations are worked out. The Laplace's, Poisson's and Helmholtz's equations in fractional space are derived by using modified vector differential operators.

This textbook is intended for a course in electromagnetism for upper undergraduate and graduate students. The main concepts and laws of classical macroscopic electrodynamics and initial information about generalized laws of modern electromagnetics are discussed, explaining some paradoxes of the modern theory. The reader then gets acquainted with electrodynamics methods of field analysis on the basis of wave equation solution. Emission physics are considered using an example of the Huygens-Fresnel-Kirchhoff canonic principle. The representation about strict electrodynamics task statement on the base of Maxwell equations, boundary conditions, emission conditions and the condition on the edge is given. Different classes of approximate boundary conditions are presented, which essentially simplify understanding of process physics. The canonic Fresnel functions are given and their generalization on the case of anisotropic impedance. The free waves in closed waveguides and in strip-slotted and edge-dielectric transmission lines are described. A large number of Mathcad programs for illustration of field patterns and its properties in different guiding structures are provided. The material is organized for self-study as well as classroom use.