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Static Fields and Potentials describes two of the fundamental interactions in nature: gravity and electromagnetism. The book introduces the associated fields, potentials, and energies and explains the relationship among them. It shows how these interactions manifest themselves in different ways, from the formation of stars to the operation of thunderstorms. The book also demonstrates how they are harnessed technologically in applications, such as hydroelectricity, electrical circuitry, and DNA finger-printing.
The 10th edition of Elementary Differential Equations and Boundary Value Problems, like its predecessors, is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite theoretical, sometimes intensely practical, and often somewhere in between. The authors have sought to combine a sound and accurate exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation that have proved useful in a wide variety of applications. While the general structure of the book remains unchanged, some notable changes have been made to improve the clarity and readability of basic material about differential equations and their applications. In addition to expanded explanations, the 10th edition includes new problems, updated figures and examples to help motivate students. The book is written primarily for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year of study. WileyPLUS sold separately from text.
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.
An understanding of the collisions between micro particles is of great importance for the number of fields belonging to physics, chemistry, astrophysics, biophysics etc. The present book, a theory for electron-atom and molecule collisions is developed using non-relativistic quantum mechanics in a systematic and lucid manner. The scattering theory is an essential part of the quantum mechanics course of all universities. During the last 30 years, the author has lectured on the topics presented in this book (collisions physics, photon-atom collisions, electron-atom and electron-molecule collisions, "electron-photon delayed coincidence technique", etc.) at many institutions including Wayne State University, Detroit, MI, The University of Western Ontario, Canada, and The Meerut University, India. The present book is the outcome of those lectures and is written to serve as a textbook for post-graduate and pre-PhD students and as a reference book for researchers.
Professor Jean Van Bladel, an eminent researcher and educator in fundamental electromagnetic theory and its application in electrical engineering, has updated and expanded his definitive text and reference on electromagnetic fields to twice its original content. This new edition incorporates the latest methods, theory, formulations, and applications that relate to today's technologies. With an emphasis on basic principles and a focus on electromagnetic formulation and analysis, Electromagnetic Fields, Second Edition includes detailed discussions of electrostatic fields, potential theory, propagation in waveguides and unbounded space, scattering by obstacles, penetration through apertures, and field behavior at high and low frequencies.
Antenna Fundamentals Introduction, Radiation mechanism - Single wire, 2 wire, Dipoles, Current distribution on a thin wire antenna. Antenna parameters - Radiation patterns, Patterns in principal planes, Main lobe and side lobes, Beamwidths, Beam area, Radiation intensity, Beam efficiency, Directivity, Gain and resolution, Antenna apertures, Aperture efficiency, Effective height related problems.Thin Linear Wire AntennasRetarded potentials, Radiation from small electric dipole, Quarterwave monopole and halfwave dipole - Current distributions, Evaluation of field components, Power radiated, Radiation resistance, Beamwidths, Directivity, Effective area and effective height. Natural current distributions, Fields and patterns of thin linear center-fed antennas of different lengths, Radiation resistance at a point which is not current maximum. Antenna theorems - Applicability and proofs for equivalence of directional characteristics, Loop antennas : Small loops - Field components, Comparison of far fields of small loop and short dipole, Concept of short magnetic dipole, D and R relations for small loops.Antenna Arrays2 element arrays - Different cases, Principle of pattern multiplication, N element uniform linear arrays - Broadside, Endfire arrays, EFA with increased directivity, Derivation of their characteristics and comparison; Concept of scanning arrays, Directivity relations (no derivations), Related problems, Binomial arrays, Effects of uniform and non-uniform amplitude distributions, Design relations.Non-Resonant RadiatorsIntroduction, Travelling wave radiators - Basic concepts, Longwire antennas - Field strength calculations and patterns, V-antennas, Rhombic antennas and design relations, Broadband antennas : Helical antennas - Significance, Geometry, Basic properties; Design considerations for monofilar helical antennas in axial mode and normal modes (Qualitative treatment).VHF, UHF and Microwave Antennas - IArrays with parasitic elements, Yagi-Uda arrays, Folded dipoles and their characteristics.Reflector antennas Flat sheet and corner reflectors, Paraboloidal reflectors - Geometry, Characteristics, Types of feeds, F/D ratio, Spill over, Back lobes, Aperture blocking, Off-set feeds, Cassegrainian feeds.VHF, UHF and Microwave Antennas - IIHorn antennas - Types, Optimum horns, Design characteristics of pyramidal horns; Lens antennas - Geometry, Features, Dielectric lenses and zoning, Applications.Antenna measurements - Patterns required, setup, Distance criterion, Directivity and gain measurements (Comparison, Absolute and 3-Antenna methods).Wave Propagation - IConcepts of propagation, Frequency ranges and types of propagations. Ground wave propagation - Characteristics, Parameters, Wave tilt, Flat and spherical earth considerations. Sky wave propagation - Formation of ionospheric layers and their characteristics, Mechanism of reflection and refraction, Critical frequency, MUF and skip distance - Calculations for flat and spherical earth cases, Optimum frequency, LUHF, Virtual height, Ionospheric abnormalities, Ionospheric absorption.Wave Propagation - IIFundamental equation for free-space propagation, Basic transmission loss calculations. Space wave propagation - Mechanism, LOS and radio horizon. Tropospheric wave propagation - Radius of curvature of path, Effective earth's radius, Effect of earth's curvature, Field strength calculations, M-curves and Duct propagation, Tropospheric scattering.

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