Book description
This book deals with electromagnetic theory and its applications at the level of a seniorlevel undergraduate course for science and engineering. The basic concepts and mathematical analysis are clearly developed and the important applications are analyzed. Each chapter contains numerous problems ranging in difficulty from simple applications to challenging. The answers for the problems are given at the end of the book. Some chapters which open doors to more advanced topics, such as wave theory, special relativity, emission of radiation by charges and antennas, are included.
The material of this book allows flexibility in the choice of the topics covered. Knowledge of basic calculus (vectors, differential equations and integration) and general physics is assumed. The required mathematical techniques are gradually introduced. After a detailed revision of timeindependent phenomena in electrostatics and magnetism in vacuum, the electric and magnetic properties of matter are discussed. Induction, Maxwell equations and electromagnetic waves, their reflection, refraction, interference and diffraction are also studied in some detail. Four additional topics are introduced: guided waves, relativistic electrodynamics, particles in an electromagnetic field and emission of radiation. A useful appendix on mathematics, units and physical constants is included.
Contents
1. Prologue.
2. Electrostatics in Vacuum.
3. Conductors and Currents.
4. Dielectrics.
5. Special Techniques and Approximation Methods.
6. Magnetic Field in Vacuum.
7. Magnetism in Matter.
8. Induction.
9. Maxwell's Equations.
10. Electromagnetic Waves.
11. Reflection, Interference, Diffraction and Diffusion.
12. Guided Waves.
13. Special Relativity and Electrodynamics.
14. Motion of Charged Particles in an Electromagnetic Field.
15. Emission of Radiation.
Table of contents
 Coverpage
 Titlepage
 Copyright
 Table of Contents
 Preface
 List of Symbols

Chapter 1. Prologue
 1.1. Scalars and vectors
 1.2. Effect of rotations on scalars and vectors
 1.3. Integrals involving vectors
 1.4. Gradient and curl, conservative field and scalar potential
 1.5. Divergence, conservative flux, and vector potential
 1.6. Other properties of the vector differential operator
 1.7. Invariance and physical laws
 1.8. Electric charges in nature
 1.9. Interactions in nature
 1.10. Problems

Chapter 2. Electrostatics in Vacuum
 2.1. Electric forces and field
 2.2. Electric energy and potential
 2.3. The two fundamental laws of electrostatics
 2.4. Poisson’s equation and its solutions
 2.5. Symmetries of the electric field and potential
 2.6. Electric dipole
 2.7. Electric field and potential of simple charge configurations
 2.8. Some general properties of the electric field and potential
 2.9. Electrostatic energy of a system of charges
 2.10. Electrostatic binding energy of ionic crystals and atomic nuclei
 2.11. Interactionatadistance and local interaction*
 2.12. Problems

Chapter 3. Conductors and Currents
 3.1. Conductors in equilibrium
 3.2. Conductors with cavities, electric shielding
 3.3. Capacitors
 3.4. Mutual electric influence of conductors
 3.5. Electric forces between conductors
 3.6. Currents and current densities
 3.7. Classical model of conduction, Ohm’s law and the Joule effect
 3.8. Resistance of conductors
 3.9. Variation of resistivity with temperature, superconductivity
 3.10. Band theory of conduction, semiconductors*
 3.11. Electric circuits
 3.12. Problems

Chapter 4. Dielectrics
 4.1. Effects of dielectric on capacitors
 4.2. Polarization of dielectrics
 4.3. Microscopic interpretation of polarization
 4.4. Polarization charges in dielectric
 4.5. Potential and field of polarized dielectrics
 4.6. Gauss’s law in the case of dielectrics, electric displacement
 4.7. Electrostatic equations in dielectrics
 4.8. Field and potential of permanent dielectrics
 4.9. Polarization of a dielectric in an external field
 4.10. Energy and force in dielectrics
 4.11. Action of an electric field on a polarized medium
 4.12. Electric susceptibility and permittivity
 4.13. Variation of polarization with temperature
 4.14. Nonlinear dielectrics and nonisotropic dielectrics
 4.15. Problems

Chapter 5. Special Techniques and Approximation Methods
 5.1. Unicity of the solution
 5.2. Method of images
 5.3. Method of analytic functions
 5.4. Method of separation of variables
 5.5. Laplace’s equation in Cartesian coordinates
 5.6. Laplace’s equation in spherical coordinates
 5.7. Laplace’s equation in cylindrical coordinates
 5.8. Multipole expansion
 5.9. Other methods
 5.10. Problems

Chapter 6. Magnetic Field in Vacuum
 6.1. Force exerted by a magnetic field on a moving charge
 6.2. Force exerted by a magnetic field on a current, Laplace’s force
 6.3. Magnetic flux and vector potential
 6.4. Magnetic field of particles and currents, BiotSavart’s law
 6.5. Magnetic moment
 6.6. Symmetries of the magnetic field
 6.7. Ampère’s law in the integral form
 6.8. Field and potential of some simple circuits
 6.9. Equations of timeindependent magnetism in vacuum, singularities of B
 6.10. Magnetic energy of a circuit in a field B
 6.11. Magnetic forces
 6.12. Question of magnetic monopoles*
 6.13. Problems.

Chapter 7. Magnetism in Matter
 7.1. Types of magnetism
 7.2. Diamagnetism and paramagnetism
 7.3. Magnetization current
 7.4. Magnetic field and vector potential in the presence of magnetic matter
 7.5. Ampère’s law in the integral form in the presence of magnetic matter
 7.6. Equations of timeindependent magnetism in the presence of matter
 7.7. Discontinuities of the magnetic field
 7. 8. Examples of calculation of the field of permanent magnets
 7.9. Magnetization of a body in an external field
 7.10. Magnetic susceptibility, nonlinear mediums and nonisotropic mediums
 7.11. Action of a magnetic field on a magnetic body
 7.12. Magnetic energy in matter
 7.13. Variation of magnetization with temperature
 7.14. Ferromagnetism
 7.15. Magnetic circuits
 7.16. Problems

Chapter 8. Induction
 8.1. Induction due to the variation of the flux, Faraday’s and Lenz’s laws
 8.2. Neumann’s induction
 8.3. Lorentz induction
 8.4. Lorentz induction and the Galilean transformation of fields
 8.5. Mutual inductance and selfinductance
 8.6. LR circuit
 8.7. Magnetic energy
 8.8. Magnetic forces acting on circuits
 8.9. Some applications of induction
 8.10. Problems

Chapter 9. Maxwell’s Equations
 9.1. Fundamental laws of electromagnetism
 9.2. Maxwell’s equations
 9.3. Electromagnetic potentials and gauge transformation
 9.4. Quasipermanent approximation
 9.5. Discontinuities on the interface of two mediums
 9.6. Electromagnetic energy and Poynting vector
 9.7. Electromagnetic pressure, Maxwell’s tensor
 9.8. Problems

Chapter 10. Electromagnetic Waves
 10.1. A short review on waves
 10.2. Electromagnetic waves in infinite vacuum and dielectrics
 10.3. Polarization of electromagnetic waves
 10.4. Energy and intensity of plane electromagnetic waves
 10.5. Momentum and angular momentum densities, radiation pressure
 10.6. A simple model of dispersion
 10.7. Electromagnetic waves in conductors
 10.8. Electromagnetic waves in plasmas
 10.9. Quantization of electromagnetic waves
 10.10. Electromagnetic spectrum
 10.11. Emission of electromagnetic radiations
 10.12. Spontaneous and stimulated emissions
 10.13. Problems

Chapter 11. Reflection, Interference, Diffraction and Diffusion
 11.1. General laws of reflection and refraction
 11.2. Reflection and refraction on the interface of two dielectrics
 11.3. Total reflection
 11.4. Reflection on a conductor
 11.5. Reflection on a plasma
 11.6. Interference of two electromagnetic waves
 11.7. Superposition of several waves, conditions for observable interference
 11.8. HuygensFresnel’s principle and diffraction by an aperture
 11.9. Diffraction by an obstacle, Babinet’s theorem
 11.10. Diffraction by several randomly distributed identical apertures
 11.11. Diffraction grating
 11.12. Xray diffraction
 11.13. Diffusion of waves*
 11.14. Crosssection*
 11.15. Problems
 Chapter 12. Guided Waves

Chapter 13. Special Relativity and Electrodynamics
 13.1. Galilean relativity in mechanics
 13.2. Galilean relativity and wave theory*
 13.3. The 19th Century experiments on the velocity of light
 13.4. Special theory of relativity
 13.5. Fourdimensional formalism
 13.6. Elements of relativistic mechanics
 13.7. Special relativity and wave theory*
 13.8. Elements of relativistic electrodynamics
 13.9. Problems
 Chapter 14. Motion of Charged Particles in an Electromagnetic Field

Chapter 15. Emission of Radiation
 15.1. Retarded potentials and fields
 15.2. Dipole radiation
 15.3. Electric dipole radiation
 15.4. Magnetic dipole radiation
 15.5. Antennas
 15.6. Potentials and fields of a charged particle*
 15.7. Case of a charged particle with constant velocity *
 15.8. Radiated energy by a moving charge
 15.9. Problems
 Answers to Some Problems
 Appendix A. Mathematical Review
 Appendix B. Units in Physics
 Appendix C. Some Physical Constants
 Further Reading
 Index
Product information
 Title: Electromagnetism: Maxwell Equations, Wave Propagation and Emission
 Author(s):
 Release date: July 2012
 Publisher(s): WileyISTE
 ISBN: 9781848213555
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