Electromagnetics. (2018)

• Record Type: Book
• Further Information: Note: Edward J. Rothwell, Michael J. Cloud.
• Authors: Rothwell, Edward J; Cloud, Michael J
• Contents: Cover -- Half Title -- Title -- Copyright -- Dedication -- Contents -- Preface -- Authors -- Chapter 1 Introductory concepts -- 1.1 Notation, conventions, and symbology -- 1.2 The field concept of electromagnetics -- 1.2.1 Historical perspective -- 1.2.2 Formalization of field theory -- 1.3 The sources of the electromagnetic field -- 1.3.1 Macroscopic electromagnetics -- 1.3.1.1 Macroscopic effects as averaged microscopic effects -- 1.3.1.2 The macroscopic volume charge density -- 1.3.1.3 The macroscopic volume current density -- 1.3.2 Impressed vs. secondary sources -- 1.3.3 Surface and line source densities -- 1.3.4 Charge conservation -- 1.3.4.1 The continuity equation -- 1.3.4.2 The continuity equation in fewer dimensions -- 1.3.5 Magnetic charge -- 1.4 Problems -- Chapter 2 Maxwell's theory of electromagnetism -- 2.1 The postulate -- 2.1.1 The Maxwell-Minkowski equations -- 2.1.1.1 The interdependence of Maxwell's equations -- 2.1.1.2 Field vector terminology -- 2.1.1.3 Invariance of Maxwell's equations -- 2.1.2 Connection to mechanics -- 2.2 The well-posed nature of the postulate -- 2.2.1 Uniqueness of solutions to Maxwell's equations -- 2.2.2 Constitutive relations -- 2.2.2.1 Constitutive relations for fields in free space -- 2.2.2.2 Constitutive relations in a linear isotropic material -- 2.2.2.3 Constitutive relations for fields in perfect conductors -- 2.2.2.4 Constitutive relations in a linear anisotropic material -- 2.2.2.5 Constitutive relations for biisotropic materials -- 2.2.2.6 Constitutive relations in nonlinear media -- 2.3 Maxwell's equations in moving frames -- 2.3.1 Field conversions under Galilean transformation -- 2.3.2 Field conversions under Lorentz transformation -- 2.3.2.1 Lorentz invariants -- 2.3.2.2 Derivation of Maxwell's equations from Coulomb's law -- 2.3.2.3 Transformation of constitutive relations. 2.3.2.4 Constitutive relations in deforming or rotating media -- 2.4 The Maxwell-Boffi equations -- 2.4.1 Equivalent polarization and magnetization sources -- 2.4.2 Covariance of the Boffi form -- 2.5 Large-scale form of Maxwell's equations -- 2.5.1 Surface moving with constant velocity -- 2.5.1.1 Kinematic form of the large-scale Maxwell equations -- 2.5.1.2 Alternative form of the large-scale Maxwell equations -- 2.5.2 Moving, deforming surfaces -- 2.5.3 Large-scale form of the Boffi equations -- 2.6 The nature of the four field quantities -- 2.7 Maxwell's equations with magnetic sources -- 2.8 Boundary (jump) conditions -- 2.8.1 Boundary conditions across a stationary, thin source layer -- 2.8.2 Boundary conditions holding across a stationary layer of field discontinuity -- 2.8.3 Boundary conditions at the surface of a perfect conductor -- 2.8.4 Boundary conditions across a stationary layer of field discontinuity using equivalent sources -- 2.8.5 Boundary conditions across a moving layer of field discontinuity -- 2.9 Fundamental theorems -- 2.9.1 Linearity -- 2.9.2 Duality -- 2.9.2.1 Duality of electric and magnetic point source fields -- 2.9.2.2 Duality in a source-free region -- 2.9.3 Reciprocity -- 2.9.4 Similitude -- 2.9.5 Conservation theorems -- 2.9.5.1 The system concept in the physical sciences -- 2.9.5.2 Conservation of momentum and energy in mechanical systems -- 2.9.5.3 Conservation in the electromagnetic subsystem -- 2.9.5.4 Interpretation of the energy and momentum conservation theorems -- 2.9.5.5 Boundary conditions on the Poynting vector -- 2.9.5.6 An alternative formulation of the conservation theorems -- 2.10 The wave nature of the electromagnetic field -- 2.10.1 Electromagnetic waves -- 2.10.2 Wave equation for bianisotropic materials -- 2.10.3 Wave equation using equivalent sources. 2.10.4 Wave equation in a conducting medium -- 2.10.4.1 Scalar wave equation for a conducting medium -- 2.10.5 Fields determined by Maxwell's equations vs. fields determined by the wave equation -- 2.10.6 Transient uniform plane waves in a conducting medium -- 2.10.7 Propagation of cylindrical waves in a lossless medium -- 2.10.8 Propagation of spherical waves in a lossless medium -- 2.10.9 Energy radiated by sources -- 2.10.10 Nonradiating sources -- 2.11 Application: single charged particle motion in static electric and magnetic fields -- 2.11.1 Fundamental equations of motion -- 2.11.2 Nonrelativistic particle motion in a uniform, static electric field -- 2.11.3 Nonrelativistic particle motion in a nonuniform, static electric field -- electron optics -- 2.11.4 Nonrelativistic particle motion in a uniform, static magnetic field -- 2.11.5 Nonrelativistic particle motion in uniform, static electric and magnetic fields: E {u00D7} B drift -- 2.11.6 Nonrelativistic particle motion in a nonuniform, static magnetic field -- 2.11.7 Relativistic particle motion in a uniform, static magnetic field -- 2.11.8 Relativistic particle motion in uniform, static electric and magnetic fields -- 2.12 Problems -- Chapter 3 The static and quasistatic electromagnetic fields -- 3.1 Statics and quasistatics -- 3.2 Static fields and steady currents -- 3.2.1 Decoupling of the electric and magnetic fields -- 3.2.2 Static field equilibrium and conductors -- 3.2.3 Steady current -- 3.3 Electrostatics -- 3.3.1 Direct solutions to Gauss's law -- 3.3.2 The electrostatic potential and work -- 3.3.2.1 The electrostatic potential -- 3.3.3 Boundary conditions -- 3.3.3.1 Boundary conditions for the electrostatic field -- 3.3.3.2 Boundary conditions for steady electric current -- 3.3.4 Uniqueness of the electrostatic field -- 3.3.5 Poisson's and Laplace's equations. 3.3.5.1 Uniqueness of solution to Poisson's equation -- 3.3.5.2 Integral solution to Poisson's equation: the static Green's function -- 3.3.5.3 Useful derivative identities -- 3.3.5.4 The Green's function for unbounded space -- 3.3.5.5 Coulomb's law -- 3.3.5.6 Green's function for unbounded space: two dimensions -- 3.3.5.7 Dirichlet and Neumann Green's functions -- 3.3.5.8 Reciprocity of the static Green's function -- 3.3.5.9 Image interpretation for solutions to Poisson's equation -- 3.3.6 Force and energy -- 3.3.6.1 Maxwell's stress tensor -- 3.3.6.2 Electrostatic stored energy -- 3.3.7 Multipole expansion -- 3.3.7.1 Physical interpretation of the polarization vector in a dielectric -- 3.3.7.2 Potential of an azimuthally symmetric charged spherical surface -- 3.3.8 Field produced by a permanently polarized body -- 3.3.9 Potential of a dipole layer -- 3.3.10 Behavior of electric charge density near a conducting edge -- 3.3.11 Solution to Laplace's equation for bodies immersed in an impressed field -- 3.4 Magnetostatics -- 3.4.1 Direct solutions to Ampere's law -- 3.4.2 The magnetic scalar potential -- 3.4.3 The magnetic vector potential -- 3.4.3.1 Integral solution for the vector potential -- 3.4.3.2 Magnetic field of a small circular current loop -- 3.4.4 Multipole expansion -- 3.4.4.1 Physical interpretation of M in a magnetic material -- 3.4.5 Boundary conditions for the magnetostatic field -- 3.4.6 Uniqueness of the magnetostatic field -- 3.4.6.1 Integral solution for the vector potential -- 3.4.6.2 The Biot-Savart law -- 3.4.7 Force and energy -- 3.4.7.1 Ampere force on a system of currents -- 3.4.7.2 Maxwell's stress tensor -- 3.4.7.3 Torque in a magnetostatic field -- 3.4.7.4 Joule's law -- 3.4.7.5 Stored magnetic energy -- 3.4.8 Magnetic field of a permanently magnetized body -- 3.5 Static field theorems. 3.5.1 Mean value theorem of electrostatics -- 3.5.2 Earnshaw's theorem -- 3.5.3 Thomson's theorem -- 3.5.4 Green's reciprocation theorem -- 3.6 Quasistatics -- 3.6.1 Electro-quasistatics -- 3.6.1.1 Characteristics of an EQS system -- 3.6.1.2 Capacitance and resistance -- 3.6.2 Magneto-quasistatics -- 3.6.2.1 Magnetic potentials for MQS systems -- 3.6.2.2 Fields in nonconducting media and inductance -- 3.6.2.3 MQS and conductors: diffusion, eddy currents, and skin depth -- 3.7 Application: electromagnetic shielding -- 3.7.1 Shielding effectiveness -- 3.7.2 Electrostatic shielding -- 3.7.2.1 Shielding using perfectly conducting enclosures -- 3.7.2.2 Perfectly conducting enclosures with apertures -- 3.7.2.3 Shielding with high-permittivity dielectric materials -- 3.7.3 Magnetostatic shielding -- 3.7.4 Quasistatic shielding -- 3.7.5 Electromagnetic shielding -- 3.8 Problems -- Chapter 4 Temporal and spatial frequency domain representation -- 4.1 Interpretation of the temporal transform -- 4.2 The frequency-domain Maxwell equations -- 4.3 Boundary conditions on the frequency-domain fields -- 4.4 Constitutive relations in the frequency domain and the Kramers-Kronig relations -- 4.4.1 The complex permittivity -- 4.4.2 High and low frequency behavior of constitutive parameters -- 4.4.3 The Kramers-Kronig relations -- 4.5 Dissipated and stored energy in a dispersive medium -- 4.5.1 Dissipation in a dispersive material -- 4.5.2 Energy stored in a dispersive material -- 4.5.3 The energy theorem -- 4.6 Some simple models for constitutive parameters -- 4.6.1 Complex permittivity of a nonmagnetized plasma -- 4.6.2 Complex dyadic permittivity of a magnetized plasma -- 4.6.3 Simple models of dielectrics -- 4.6.3.1 The Clausius-Mosotti equation -- 4.6.3.2 Maxwell-Garnett and Rayleigh mixing formulas -- 4.6.3.3 The dispersion formula of classical physics.
• Edition: 3rd ed
• Publisher Details: Milton : Chapman and Hall/CRC
• Publication Date: 2018
• Copyright Date: 2018
• Extent: 1 online resource
• Subjects: 530.141; Electromagnetic theory; Magnets
• Languages: English
• ISBNs: 9781498796583; 1498796583
• Related ISBNs: 9781498796569
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.