{"product_id":"the-power-and-beauty-of-electromagnetic-fields-9781118057575","title":"The Power and Beauty of Electromagnetic Fields","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e* Includes both conventional electromagnetic theory, Maxwell-Poynting representation, and also Alternate representation theory which is more suitable for modern EM environments.    Students and theorists can examine two separate theories and witness the same outcomes.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface xxi \u003cp\u003eAcknowledgments xxvii\u003c\/p\u003e \u003cp\u003eList of Figures xxix\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART I BASIC ELECTROMAGNETIC THEORY\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Maxwell’s Equations 5\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Mathematical notation 5\u003c\/p\u003e \u003cp\u003e1.2 Free-space fields and forces 6\u003c\/p\u003e \u003cp\u003e1.3 Vector and scalar potentials 10\u003c\/p\u003e \u003cp\u003e1.4 Inhomogeneous wave equations for \u003cb\u003eE\u003c\/b\u003e and \u003cb\u003eH\u003c\/b\u003e 12\u003c\/p\u003e \u003cp\u003e1.5 Static fields 12\u003c\/p\u003e \u003cp\u003e1.6 Integration of the inhomogeneous wave equation 15\u003c\/p\u003e \u003cp\u003e1.7 Polarizable, magnetizable, and conducting media 18\u003c\/p\u003e \u003cp\u003e1.8 Boundary conditions 24\u003c\/p\u003e \u003cp\u003e1.9 The complex Maxwell Equations 26\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Quasistatic Approximations 29\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Quasistatic expansions of a standing wave 30\u003c\/p\u003e \u003cp\u003e2.2 Electroquasistatic \u003ci\u003e(EQS)\u003c\/i\u003e fields 31\u003c\/p\u003e \u003cp\u003e2.3 Magnetoquasistatic (\u003ci\u003eMQS\u003c\/i\u003e) fields 33\u003c\/p\u003e \u003cp\u003e2.4 Conduction problems 35\u003c\/p\u003e \u003cp\u003e2.5 Laplacian approximations 37\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Electromagnetic Power, Energy, Stress, and Momentum 39\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction 39\u003c\/p\u003e \u003cp\u003e3.2 The Maxwell–Poynting representation 41\u003c\/p\u003e \u003cp\u003e3.3 Quasistatic power and energy 43\u003c\/p\u003e \u003cp\u003e3.4 Alternative representations 45\u003c\/p\u003e \u003cp\u003e3.5 Differences between representations 54\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Electromagnetic Waves in Free-Space 61\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Homogeneous waves 61\u003c\/p\u003e \u003cp\u003e4.2 One-dimensional waves 62\u003c\/p\u003e \u003cp\u003e4.3 Harmonic uniform plane waves 63\u003c\/p\u003e \u003cp\u003e4.4 Waves of high symmetry 64\u003c\/p\u003e \u003cp\u003e4.5 Inhomogeneous scalar wave equations 66\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Electromagnetic Waves in Linear Materials 67\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Introduction 67\u003c\/p\u003e \u003cp\u003e5.2 Electrically conducting media 67\u003c\/p\u003e \u003cp\u003e5.3 Linear dielectric and magnetic media 70\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Electromagnetic Theorems and Principles 77\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Introduction 77\u003c\/p\u003e \u003cp\u003e6.2 Complex power and energy theorems 78\u003c\/p\u003e \u003cp\u003e6.3 Complex stress theorems 84\u003c\/p\u003e \u003cp\u003e6.4 Complex momentum theorems 86\u003c\/p\u003e \u003cp\u003e6.5 Duality 88\u003c\/p\u003e \u003cp\u003e6.6 Uniqueness theorems 94\u003c\/p\u003e \u003cp\u003e6.7 The equivalence principle 96\u003c\/p\u003e \u003cp\u003e6.8 The induction theorem 97\u003c\/p\u003e \u003cp\u003e6.9 Babinet’s Principle 98\u003c\/p\u003e \u003cp\u003e6.10 The reciprocity theorem 100\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART II FOUR-DIMENSIONAL ELECTROMAGNETISM\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Four-Dimensional Vectors and Tensors 105\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Space–time coordinates 105\u003c\/p\u003e \u003cp\u003e7.2 Four-vector electric-current density 106\u003c\/p\u003e \u003cp\u003e7.3 Four-vector potential (Lorenz gauge) 106\u003c\/p\u003e \u003cp\u003e7.4 Four-Laplacian (wave equation) 107\u003c\/p\u003e \u003cp\u003e7.5 Maxwell’s Equations and field tensors 107\u003c\/p\u003e \u003cp\u003e7.6 The four-dimensional curl operator 109\u003c\/p\u003e \u003cp\u003e7.7 Four-dimensional “statics” 110\u003c\/p\u003e \u003cp\u003e7.8 Four-dimensional force density 112\u003c\/p\u003e \u003cp\u003e7.9 Six-vectors and dual field tensors 113\u003c\/p\u003e \u003cp\u003e7.10 Four-vector electric and magnetic fields 113\u003c\/p\u003e \u003cp\u003e7.11 The field tensors and Maxwell’s Equations revisited 115\u003c\/p\u003e \u003cp\u003e7.12 Linear conductors revisited 116\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Energy-Momentum Tensors 119\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction 119\u003c\/p\u003e \u003cp\u003e8.2 Maxwell–Poynting energy-momentum tensor 121\u003c\/p\u003e \u003cp\u003e8.3 Alternate energy-momentum tensors 121\u003c\/p\u003e \u003cp\u003e8.4 Boundary conditions and gauge considerations 125\u003c\/p\u003e \u003cp\u003e8.5 Electromagnetic beauty revisited 126\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Dielectric and Magnetic Materials 129\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Introduction 129\u003c\/p\u003e \u003cp\u003e9.2 Maxwell’s Equations with polarization and magnetization 130\u003c\/p\u003e \u003cp\u003e9.3 Amperian energy-momentum tensors 131\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Amperian, Minkowski, and Chu Formulations 141\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Introduction 141\u003c\/p\u003e \u003cp\u003e10.2 Maxwell’s Equations in the Amperian formulation 141\u003c\/p\u003e \u003cp\u003e10.3 Maxwell’s Equations in the Minkowski formulation 142\u003c\/p\u003e \u003cp\u003e10.4 Maxwell’s Equations in the Chu formulation 143\u003c\/p\u003e \u003cp\u003e10.5 Energy-momentum tensors and four-force densities 145\u003c\/p\u003e \u003cp\u003e10.6 Discussion of force densities 148\u003c\/p\u003e \u003cp\u003e10.7 The principle of virtual power 150\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART III ELECTROMAGNETIC EXAMPLES\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Static and Quasistatic Fields 157\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Spherical charge distribution 157\u003c\/p\u003e \u003cp\u003e11.2 Electric field in a rectangular slot 158\u003c\/p\u003e \u003cp\u003e11.3 Current in a cylindrical conductor 160\u003c\/p\u003e \u003cp\u003e11.4 Sphere with uniform conductivity 163\u003c\/p\u003e \u003cp\u003e11.5 Quasistatic analysis of a physical resistor 170\u003c\/p\u003e \u003cp\u003e11.6 Magnetic diffusion 179\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Uniformly Moving Electric Charges 183\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Point charge 183\u003c\/p\u003e \u003cp\u003e12.2 Surface charges separating at constant velocity 185\u003c\/p\u003e \u003cp\u003e12.3 Expanding cylindrical surface charge 190\u003c\/p\u003e \u003cp\u003e12.4 Expanding spherical surface charge 192\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Accelerating Charges 195\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Hertzian electric dipole 195\u003c\/p\u003e \u003cp\u003e13.2 Hertzian magnetic dipole 200\u003c\/p\u003e \u003cp\u003e13.3 Radiation from an accelerated then decelerated charge 202\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Uniform Surface Current 207\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Pulse excitations 207\u003c\/p\u003e \u003cp\u003e14.2 Resistive-sheet detector 214\u003c\/p\u003e \u003cp\u003e14.3 Additional pulse waveforms 217\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Uniform Line Currents 223\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Axial current step (integral laws) 223\u003c\/p\u003e \u003cp\u003e15.2 Axial current step (differential laws) 237\u003c\/p\u003e \u003cp\u003e15.3 Superposition of axial line currents 240\u003c\/p\u003e \u003cp\u003e15.4 Axial current with multiple pulses 246\u003c\/p\u003e \u003cp\u003e15.5 Fields of a sinusoidal axial current 251\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 Plane Waves 255\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 Uniform \u003ci\u003eTEM\u003c\/i\u003e plane waves 255\u003c\/p\u003e \u003cp\u003e16.2 Doppler-shifted \u003ci\u003eTEM\u003c\/i\u003e plane waves 257\u003c\/p\u003e \u003cp\u003e16.3 Nonuniform plane waves 258\u003c\/p\u003e \u003cp\u003e16.4 Skin-depth-limited current in a conductor 261\u003c\/p\u003e \u003cp\u003e\u003cb\u003e17 Waves Incident at a Material Interface 263\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e17.1 Reflected and transmitted plane waves 263\u003c\/p\u003e \u003cp\u003e17.2 \u003ci\u003eTE\u003c\/i\u003e polarization 264\u003c\/p\u003e \u003cp\u003e17.3 \u003ci\u003eTM\u003c\/i\u003e polarization 267\u003c\/p\u003e \u003cp\u003e17.4 Elliptically polarized incident waves 269\u003c\/p\u003e \u003cp\u003e\u003cb\u003e18 TEM Transmission Lines 271\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e18.1 General time-dependent solutions 271\u003c\/p\u003e \u003cp\u003e18.2 Parallel-plate TEM line in the sinusoidal steady state 274\u003c\/p\u003e \u003cp\u003e18.3 TEM tapered-plate “horn” transformer 280\u003c\/p\u003e \u003cp\u003e18.4 TEM line with parallel plates of high conductivity 282\u003c\/p\u003e \u003cp\u003e18.5 Parallel-plate TEM line loaded with linear material 289\u003c\/p\u003e \u003cp\u003e\u003cb\u003e19 Rectangular Waveguide Modes 293\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e19.1 Introduction 293\u003c\/p\u003e \u003cp\u003e19.2 Periodic potentials and fields 294\u003c\/p\u003e \u003cp\u003e19.3 Waveguide dispersion 295\u003c\/p\u003e \u003cp\u003e19.4 \u003ci\u003eTEnm\u003c\/i\u003e modes 296\u003c\/p\u003e \u003cp\u003e19.5 \u003ci\u003eTMnm\u003c\/i\u003e modes 298\u003c\/p\u003e \u003cp\u003e19.6 Null Alternate-power and Alternate-energy distributions 299\u003c\/p\u003e \u003cp\u003e19.7 Uniqueness resolved 300\u003c\/p\u003e \u003cp\u003e\u003cb\u003e20 Circular Waveguide Modes 305\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e20.1 Introduction 305\u003c\/p\u003e \u003cp\u003e20.2 \u003ci\u003eTMnm\u003c\/i\u003e modes 307\u003c\/p\u003e \u003cp\u003e20.3 \u003ci\u003eTEnm\u003c\/i\u003e modes 310\u003c\/p\u003e \u003cp\u003e20.4 Null Alternate power and energy distributions 323\u003c\/p\u003e \u003cp\u003e20.5 Alternate energy momentum and photons 323\u003c\/p\u003e \u003cp\u003e\u003cb\u003e21 Dielectric Waveguides 335\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e21.1 Introduction 335\u003c\/p\u003e \u003cp\u003e21.2 Symmetric \u003ci\u003eTE\u003c\/i\u003e modes 336\u003c\/p\u003e \u003cp\u003e21.3 Antisymmetric \u003ci\u003eTE\u003c\/i\u003e modes 336\u003c\/p\u003e \u003cp\u003e21.4 Dispersion relations 337\u003c\/p\u003e \u003cp\u003e\u003cb\u003e22 Antennas and Diffraction 341\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e22.1 Introduction 341\u003c\/p\u003e \u003cp\u003e22.2 Half-wave dipoles 342\u003c\/p\u003e \u003cp\u003e22.3 Self-complementary planar antennas 345\u003c\/p\u003e \u003cp\u003e22.4 Traveling-wave wire antennas 345\u003c\/p\u003e \u003cp\u003e22.5 The theory of simple arrays 349\u003c\/p\u003e \u003cp\u003e22.6 Diffraction by a rectangular slit 356\u003c\/p\u003e \u003cp\u003e22.7 Diffraction by a large circular aperture 360\u003c\/p\u003e \u003cp\u003e22.8 Diffraction by a small circular aperture 369\u003c\/p\u003e \u003cp\u003e22.9 Diffraction by the complementary screen 371\u003c\/p\u003e \u003cp\u003e22.10 Paraxial wave equation 372\u003c\/p\u003e \u003cp\u003e\u003cb\u003e23 Waves and Resonances in Ferrites 377\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e23.1 Introduction 377\u003c\/p\u003e \u003cp\u003e23.2 Ferrites 378\u003c\/p\u003e \u003cp\u003e23.3 Large-signal equations 380\u003c\/p\u003e \u003cp\u003e23.4 Linearized (small-signal) equations 381\u003c\/p\u003e \u003cp\u003e23.5 Uniform precession in a small ellipsoid 383\u003c\/p\u003e \u003cp\u003e23.6 Plane wave solutions 384\u003c\/p\u003e \u003cp\u003e23.7 Small-signal power and energy 388\u003c\/p\u003e \u003cp\u003e23.8 Small-signal stress and momentum 391\u003c\/p\u003e \u003cp\u003e23.9 Quasiparticle interpretation (magnons) 393\u003c\/p\u003e \u003cp\u003e\u003cb\u003e24 Equivalent Circuits 395\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e24.1 Receiving circuit of a dipole 395\u003c\/p\u003e \u003cp\u003e24.2 \u003ci\u003eTEM\u003c\/i\u003e transmission lines 398\u003c\/p\u003e \u003cp\u003e24.3 Lossless tapered lines 406\u003c\/p\u003e \u003cp\u003e24.4 Transients on transmission lines 408\u003c\/p\u003e \u003cp\u003e24.5 Plane waves (oblique incidence) 411\u003c\/p\u003e \u003cp\u003e24.6 Waveguides 413\u003c\/p\u003e \u003cp\u003e24.7 The scattering matrix 418\u003c\/p\u003e \u003cp\u003e24.8 Directional couplers 421\u003c\/p\u003e \u003cp\u003e24.9 Resonators 421\u003c\/p\u003e \u003cp\u003e\u003cb\u003e25 Practice Problems 435\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e25.1 Statics 435\u003c\/p\u003e \u003cp\u003e25.2 Quasistatics 448\u003c\/p\u003e \u003cp\u003e25.3 Plane waves 458\u003c\/p\u003e \u003cp\u003e25.4 Radiation and diffraction 462\u003c\/p\u003e \u003cp\u003e25.5 Transmission lines 472\u003c\/p\u003e \u003cp\u003e25.6 Waveguides 481\u003c\/p\u003e \u003cp\u003e25.7 Junctions and couplers 485\u003c\/p\u003e \u003cp\u003e25.8 Resonators 490\u003c\/p\u003e \u003cp\u003e25.9 Ferrites 491\u003c\/p\u003e \u003cp\u003e25.10 Four-dimensional electromagnetics 496\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART IV BACKMATTER\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eSummary 505\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eElectromagnetic Luminaries 511\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAbout the Author 519\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix A 521\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA.1 Theory of Special Relativity 521\u003c\/p\u003e \u003cp\u003eA.2 Transformations between fixed and moving coordinates 530\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix B 537\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eB.1 The unit step and u\u003ci\u003ek (t )\u003c\/i\u003e functions 537\u003c\/p\u003e \u003cp\u003eB.2 Three-dimensional vector identities and theorems 538\u003c\/p\u003e \u003cp\u003eB.3 Four-dimensional vector and tensor identities 543\u003c\/p\u003e \u003cp\u003eB.4 Four-space identities 544\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix C 547\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eC.1 Stationary spatially symmetric sources 547\u003c\/p\u003e \u003cp\u003eC.2 Multipole expansions of static fields 550\u003c\/p\u003e \u003cp\u003eC.3 Averaging property of Laplace’s Equation 553\u003c\/p\u003e \u003cp\u003eC.4 Solutions of Laplace’s Equation 554\u003c\/p\u003e \u003cp\u003eC.5 Laplace’s Equation in \u003ci\u003eN\u003c\/i\u003e dimensions 558\u003c\/p\u003e \u003cp\u003eC.6 Ellipsoids in uniform fields 559\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix D 563\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eD.1 Alternate power, energy, stress, and momentum 563\u003c\/p\u003e \u003cp\u003eD.2 Minkowski representations 568\u003c\/p\u003e \u003cp\u003eD.3 Stress-momentum representations of torque 571\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix E 577\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eE.1 Fields of specified charges and currents 577\u003c\/p\u003e \u003cp\u003eE.2 Fields of a moving point charge 578\u003c\/p\u003e \u003cp\u003eE.3 Method of images 583\u003c\/p\u003e \u003cp\u003eE.4 Characteristic impedances of TEM transmission lines 586\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix F 593\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eF.1 Bessel functions 593\u003c\/p\u003e \u003cp\u003eF.2 Chebyshev polynomials 598\u003c\/p\u003e \u003cp\u003eF.3 Hermite polynomials 600\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix G 601\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eG.1 Macsyma and Maxima 601\u003c\/p\u003e \u003cp\u003eG.2 Macsyma program descriptions 602\u003c\/p\u003e \u003cp\u003eG.3 Macsyma notebooks 605\u003c\/p\u003e \u003cp\u003eG.4 Text of Macsyma\/Maxima batch program 608\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix H 619\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eH.1 Animated fields of surface currents 619\u003c\/p\u003e \u003cp\u003eH.2 Animated fields of a cylindrical volume current, \u003ci\u003eJz (t )\u003c\/i\u003e = \u003ci\u003eJou\u003c\/i\u003e−1\u003ci\u003e(t )\u003c\/i\u003e 620\u003c\/p\u003e \u003cp\u003eH.3 Animated fields of a cylindrical surface current, K\u003ci\u003ez (t )\u003c\/i\u003e = \u003ci\u003eKou\u003c\/i\u003e−1\u003ci\u003e(t )\u003c\/i\u003e 621\u003c\/p\u003e \u003cp\u003eH.4 Animated fields of line-current transients 622\u003c\/p\u003e \u003cp\u003eH.5 Animated field of a radiating Hertzian dipole 623\u003c\/p\u003e \u003cp\u003eH.6 Animated beauty-power fluxes of cylindrical waveguide modes 623\u003c\/p\u003e \u003cp\u003eH.7 Macsyma animations and graphics 624\u003c\/p\u003e \u003cp\u003eReferences 627\u003c\/p\u003e \u003cp\u003eIndex 631\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49406824579415,"sku":"9781118057575","price":121.46,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781118057575.jpg?v=1730497241","url":"https:\/\/bookcurl.com\/products\/the-power-and-beauty-of-electromagnetic-fields-9781118057575","provider":"Book Curl","version":"1.0","type":"link"}