Verfügbarkeit: Electromagnetic theory

Electromagnetic theory:

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1. Verfasser:	Stratton, Julius Adams 1901-1994 (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Piscataway, NJ IEEE Press [u.a.] 2007
Ausgabe:	[Reissued ed.]
Schriftenreihe:	An IEEE Press classic reissue IEEE Press series on electromagnetic wave theory
Schlagworte:	Electromagnetic theory Elektromagnetische Welle Wellenfunktion Magnetostatik Schwingung Strahlung Theorie Elektromagnetismus Elektrodynamik Lehrbuch
Online-Zugang:	Beschreibung für Leser Inhaltsverzeichnis Klappentext
Beschreibung:	XXIII, 615 S. graph. Darst.
ISBN:	0470131535 9780470131534

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Datensatz im Suchindex

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adam_text	CONTENTS Page Preface . . хні CHAPTER I THE FIELD EQUATIONS Maxwell's Equations . \ 1.1 The Field Vectors . 1 1.2 Charge and Current . 2 1.3 Divergence of the Field Vectors . 6 1.4 Integral Form of the Field Equations . 6 Macroscopic Properties of Matter . 10 1.5 The Inductive Capacities < and μ . Ю 1.6 Electric and Magnetic Polarization . ц 1.7 Conducting Media . 13 Units and Dimensions . 16 1.8 M.K.S. or Giorgi System . 16 The Electromagnetic Potentials . 23 1.9 Vector and Scalar Potentials . 23 1.10 Conducting Media . 26 1.11 Hertz Vectors, or Polarization Potentials . 28 1.12 Complex Field Vectors and Potentials . 32 Boundary Conditions . 34 1.13 Discontinuities in the Field Vectors . 34 Coordinate Systems . 38 1.14 Unitary and Reciprocal Vectors . 38 1.15 Differential Operators . 44 1.16 Orthogonal Systems . 47 1.17 Field Equations in General Orthogonal Coordinates . 50 1.18 Properties of Some Elementary Systems . 51 The Field Tensors . 59 1.19 Orthogonal Transformations and Their Invariants . 59 1.20 Elements of Tensor Analysis . 64 1.21 Space-time Symmetry of the Field Equations . 69 1.22 The Lorentz Transformation . 74 1.23 Transformation of the Field Vectors to Moving Systems . 78 xviu CONTENTS Paoe CHAPTER II STRESS AND ENERGY Stress and Strain in Elastic Media . 83 2.1 Elastic Stress Tensor . 83 2.2 Analysis of Strain . 87 2.3 Elastic Energy and the Relations of Stress to Strain . 93 Electromagnetic Forces on Charges and Currents . 96 2.4 Definition of the Vectors E and В . 96 2.5 Electromagnetic Stress Tensor in Free Space . 97 2.6 Electromagnetic Momentum . 103 Electrostatic Energy . 104 2.7 Electrostatic Energy as a Function of Charge Density . 104 2.8 Electrostatic Energy as a Function of Field Intensity . 107 2 0 A Theorem on Vector Fields . Ill 2.10 Energy of a Dielectric Body in an Electrostatic Field . 112 2.11 Thomson's Theorem . 114 2.12 Earnshaw's Theorem . 116 2.13 Theorem on the Energy of Uncharged Conductors . 117 Magnetostatic Energy . 118 2.14 Magnetic Energy of Stationary Currents . 118 2.15 Magnetic Energy as a Function of Field Intensity . 123 2.16 Ferromagnetic Materials . 125 2.17 Energy of a Magnetic Body in a Magnetostatic Field . 126 2.18 Potential Energy of a Permanent Magnet . 129 Energy Flow .131 2.19 Poynting's Theorem .131 2.20 Complex Poynting Vector .135 Forces on a Dielectric in an Electrostatic Field . 137 2.21 Body Forces in Fluids . 137 2.22 Body Forces in Solids . 140 2.23 The Stress Tensor . 146 2.24 Surfaces of Discontinuity . 147 2.25 Electrostriction . 149 2.26 Force on a Body Immersed in a Fluid . 151 Forces in the Magnetostatic Field .153 2.27 Nonferromagnetic Materials .153 2.28 Ferromagnetic Materials .155 Forces in the Electromagnetic Field .156 2.29 Force on a Body Immersed in a Fluid .156 CHAPTER III THE ELECTROSTATIC FIELD General Properties of an Electrostatic Field .160 3.1 Equations of Field and Potential .160 3.2 Boundary Conditions .163 CONTENTS xix Page Calculation of the Field fhom the Charge Distribution . 165 3.3 Green's Theorem . 165 3.4 Integration of Poisson's Equation . 166 3.5 Behavior at Infinity . 167 3.6 Coulomb Field . 169 3.7 Convergence of Integrals . 170 Expansion of the Potential in Sphehical Harmonics . 172 3.8 Axial Distributions of Charge . 172 3.9 The Dipole. 175 3.10 Axial Multipoles . 176 3.11 Arbitrary Distributions of Charge . 178 3.12 General Theory of Multipoles . 179 Dielectric Polarization . 183 3.13 Interpretation of the Vectors Ρ and Π . 183 Discontinuities of Integrals Occurring in Potential Theory . 185 3.14 Volume Distributions of Charge and Dipole Moment . 185 3.15 Single-layer Charge Distributions . 187 3.16 Double-layer Distributions . 188 3.17 Interpretation of Green's Theorem . 192 3.18 Images . 193 Boundary-value Problems . 194 3.19 Formulation of Electrostatic Problems . 194 3.20 Uniqueness of Solution . 196 3.21 Solution of Laplace's Equation . 197 Problem of the Sphere . 201 3.22 Conducting Sphere in Field of a Point Charge . 201 3.23 Dielectric Sphere in Field of a Point Charge . 204 3.24 Sphere in a Parallel Field . 205 Problem of the Ellipsoid . 207 3.25 Free Charge on a Conducting Ellipsoid . 207 3.26 Conducting Ellipsoid in a Parallel Field . 209 3.27 Dielectric Ellipsoid in a Parallel Field . 211 3.28 Cavity Definitions of E and D .213 3.29 Torque Exerted on an Ellipsoid . 215 Problems . 217 CHAPTER IV THE MAGNETOSTATIC FIELD General Properties of a Magnetostatic Field . 225 4.1 Field Equations and the Vector Potential . 225 4.2 Scalar Potential . 226 4.3 Poisson's Analysis . 228 Calculation of the Field of a Current Distribution . 230 4.4 Biot-Savart Law . 230 4.5 Expansion of the Vector Potential . 233 XX CONTENTS РЛОЕ 4.6 The Magnetic Dipole. 236 4.7 Magnetic Shells . 237 A Digression on Units and Dimensions . 238 4.8 Fundamental Systems . 238 4.9 Coulomb's Law for Magnetic Matter . 241 Magnetic Polarization . 242 4.10 Equivalent Current Distributions . 242 4.11 Field of Magnetized Rods and Spheres . 243 Discontinuities or the Vectors A and В . 245 4.12 Surface Distributions of Current . 245 4.13 Surface Distributions of Magnetic Moment . 247 Integration of the Equation V X V X A = mJ . 250 4.14 Vector Analogue of Green's Theorem . 250 4.15 Application to the Vector Potential .' . . 250 Boundary-value Problems . 254 4.16 Formulation of the Magnetostatic Problem . 254 4.17 Uniqueness of Solution . 256 Problem of the Ellipsoid . 257 4.18 Field of a Uniformly Magnetized Ellipsoid . 257 4.19 Magnetic Ellipsoid in a Parallel Field . 258 Cylinder in a Parallel Field . 258 4.20 Calculation of the Field . 258 4.21 Force Exerted on the Cylinder . 261 Problems . 262 CHAPTER V PLANE WAVES IN UNBOUNDED, ISOTROPIC MEDIA Propagation of Plane Waves . 268 5.1 Equations of a One-dimensional Field . 268 5.2 Plane Waves Harmonic in Time . 273 5.3 Plane Waves Harmonic in Space . 278 5.4 Polarization . 279 5.5 Energy Flow . 281 5.6 Impedance . 282 General Solutions of the One-dimensional Wave Equation . 284 5.7 Elements of Fourier Analysis . 285 5.8 General Solution of the One-dimensional Wave Equation in a Nondissipa- tive Medium . 292 5.9 Dissipative Medium; Prescribed Distribution in Time . 297 5.10 Dissipative Medium; Prescribed Distribution in Space . 301 5.11 Discussion of a Numerical Example . 304 5.12 Elementary Theory of the Laplace Transformation . 309 5.13 Application of the Laplace Transformation to Maxwell's Equations . . 318 PREFACE XXI Paoü Dispersion .321 5.14 Dispersion in Dielectrics .321 5.15 Dispersion in Metals .325 5.16 Propagation in an Ionized Atmosphere .327 Velocities op Propagation .330 5.17 Group Velocity .330 5.18 Wave-front and Signal Velocities .333 Problems .340 CHAPTER VI CYLINDRICAL WAVES Equations op a Cylindrical Field . 349 6.1 Representation by Hertz Vectors . 349 6.2 Scalar and Vector Potentials . 351 6.3 Impedances of Harmonic Cylindrical Fields . 354 Wave Functions of the Circular Cylinder . 355 6.4 Elementary Waves . 355 6.5 Properties of the Functions Zp{p) . 357 6.6 The Field of Circularly Cylindrical Wave Functions . 360 Integral Representations of Wave Functions . 361 6.7 Construction from Plane Wave Solutions . 361 6.8 Integral Representations of the Functions Zn(p) . 364 6.9 Fourier-Bessel Integrals . 369 6.10 Representation of a Plane Wavt . 371 6.11 The Addition Theorem for Circularly Cylindrical Waves . 372 Wave Functions of the Elliptic Cylinder . 375 6.12 Elementary Waves . 375 6.13 Integral Representations . 380 6.14 Expansion of Plane and Circular Waves . 384 Problems .387 CHAPTER VII SPHERICAL WAVES The Vector Wave Equation .392 7.1 A Fundamental Set of Solutions .392 7.2 Application to Cylindrical Coordinates .395 The Scalar Wave Equation in Spherical Coordinates .399 7.3 Elementary Spherical Waves .399 7.4 Properties of the Radial Functions .404 7.5 Addition Theorem for the Legendre Polynomials .406 7.6 Expansion of Plane Waves .408 7.7 Integral Representations .409 7.8 A Fourier-Bessel Integral .411 7.9 Expansion of a Cylindrical Wave Function .412 7.10 Addition Theorem for г.(кВ) .413 XX" CONTENTS Page The Vector Wave Equation in Spherical Coordinates . 414 7.11 Spherical Vector Wave Functions . 414 7.12 Integral Representations . 416 7.13 Orthogonality . 417 7.14 Expansion of a Vector Plane Wave . 418 Problems . 420 CHAPTER VIII RADIATION The Inhomogeneous Scalar Wave Equation . 424 8.1 Kirchhoff Method of Integration . 424 8.2 Retarded Potentials . 428 8.3 Retarded Hertz Vector . 430 A Multipole Expansion . 431 8.4 Definition of the Moments . 431 8.5 Electric Dipole. 434 8.6 Magnetic Dipole. 437 Radiation Theory of Linear Antenna Systems . 438 8.7 Radiation Field of a Single Linear Oscillator . 438 8.8 Radiation Due to Traveling Waves . 445 8.9 Suppression of Alternate Phases . 446 8.10 Directional Arrays . 448 8.11 Exact Calculation of the Field of a Linear Oscillator . 454 8.12 Radiation Resistance by the E.M.F. Method . 457 The Kirchhoff-Huygens Principle . 460 8.13 Scalar Wave Functions . 460 8.14 Direct Integration of the Field Equations . 464 8.15 Discontinuous Surface Distributions . 468 Four-dimensional Formulation of the Radiation Problem . 470 8.16 Integration of the Wave Equation . 470 8.17 Field of a Moving Point Charge . 473 Problems . 477 CHAPTER IX BOUNDARY-VALUE PROBLEMS General Theorems . 4g3 9.1 Boundary Conditions . 4g3 9.2 Uniqueness of Solution . 4gg 9.3 Electrodynamic Similitude . 4gg Reflection and Refraction at a Plane Subface . 49O 9.4 Snell's Laws . 430 9.5 Fresneľe Equations . 492 9.6 Dielectric Media . 494. 9.7 Total Reflection .■■■■. 497 9.8 Refraction in a Conducting Medium .' 50O 9.9 Reflection at a Conducting Surface ." ! ! 505 CONTENTS xxiii Page Plane Sheets . 5И 9.10 Reflection and Transmission Coefficients .511 9.11 Application to Dielectric Media .513 9.12 Absorbing Layers .515 Surface Waves .516 9.13 Complex Angles of Incidence .516 9.14 Skin Effect .520 Propagation along a Circular Cylinder . 524 9.15 Natural Modes . 524 9.16 Conductor Embedded in a Dielectric . 527 9.17 Further Discussion of the Principal Wave . 531 9.18 Waves in Hollow Pipes . 537 Coaxial Lines . 545 9.19 Propagation Constant . 545 9.20 Infinite Conductivity . 548 9.21 Finite Conductivity . 551 Oscillations of a Sphere . 554 9.22 Natural Modes . 554 9.23 Oscillations of a Conducting Sphere . 558 9.24 Oscillations in a Spherical Cavity . 560 Diffraction of a Plane Wave by a Sphere . 563 9.25 Expansion of the Diffracted Field . 563 9.26 Total Radiation . 568 9.27 Limiting Cases . 570 Effect of the Earth on the Propagation of Radio Waves . 573 9.28 Sommerfeld Solution . 573 9.29 Weyl Solution . 577 9.30 van der Pol Solution . 582 9.31 Approximation of the Integrals . 583 Problems . 588 APPENDIX I A. Numerical Values of Fundamental Constants . 601 B. Dimensions of Electromagnetic Quantities . 601 С Conversion Tables . 602 APPENDIX II Formulas from Vector Analysis .604 APPENDIX III Conductivity of Various Materials .605 Specific Inductive Capacity of Dielectrics .606 APPENDIX IV Associated Legendre Functions .608 Index . 609 Elee he IEEE Press Series on Electromagnetic Wave Theory G. Dud! First published in 1941, Julius Strattons classic Electromagnetic Theory has been a mainstay for generations oí students, researchers, and scientists. This classic reissue oí the original features a Foreword to the Classic Reissue by Dr. Donald C. Dudley that details the book's contribution to the Held and an introductory biography by Dr. Paul E. Cray, former MIT President and colleague oí Dr. Stratton. ted and frequently cited text remains as useful and terest to todavs students and researchers that include: with areas of The discussion of Hansen vector wave functions The outstanding treatment of phase and group velocity The Stratton-Chu formulation for integration of the vector Helmholtz equations The development ol the source-free solutions for a circular cylinder in a lossy medium The treatment oí · The IEEE Press Series on Electromagnetic Wave Theory offers outstanding coverage of the field It consists of new titles of contemporary interest as well as reissues and revisions of recognized classics by established authors and researchers. The series emphasizes works of long-term archival significance in electromagnetic waves and applications. Designed especially for graduate students, researchers, and practicing engineers, the series provides affordable volumes that explore and explain electromagnetics waves beyond the undergraduate level. JULIUS ADAMS STRATTON I'M) I-1994i had an SB, 19: engineering Massachusetts Institute of Technology,- an ScD in mathematical physics 1928. Eidgenossiche Technische Hochshule Zurich Switzerland· and was the eleventh president of MIT Much of his research at MIT focused on the propagation oť short electromagnetic waves During World War II, he worked on the development of LORAN ! Long Range Navigation for planes and ships. He served as a consultant to Secretary of War Henry L. Stimson and chaired committees to improve all-weather flying systems and ground radar fire control and radar bombing equipment. He also helped plan the use of radar in the Normandv invasion. He was awarded the Medal ol Merit for his services. He became MIT's first chancellor in 1956. acting president in ll)57 and president in 1959. At his retirement in 196o he was elected a lite member of the MIT Corporation A trustee ot the Ford Foundation from 1955-1971 he served as its chairman trom 1966 to 1971.
adam_txt	CONTENTS Page Preface . . хні CHAPTER I THE FIELD EQUATIONS Maxwell's Equations . \ 1.1 The Field Vectors . 1 1.2 Charge and Current . 2 1.3 Divergence of the Field Vectors . 6 1.4 Integral Form of the Field Equations . 6 Macroscopic Properties of Matter . 10 1.5 The Inductive Capacities < and μ . Ю 1.6 Electric and Magnetic Polarization . ц 1.7 Conducting Media . 13 Units and Dimensions . 16 1.8 M.K.S. or Giorgi System . 16 The Electromagnetic Potentials . 23 1.9 Vector and Scalar Potentials . 23 1.10 Conducting Media . 26 1.11 Hertz Vectors, or Polarization Potentials . 28 1.12 Complex Field Vectors and Potentials . 32 Boundary Conditions . 34 1.13 Discontinuities in the Field Vectors . 34 Coordinate Systems . 38 1.14 Unitary and Reciprocal Vectors . 38 1.15 Differential Operators . 44 1.16 Orthogonal Systems . 47 1.17 Field Equations in General Orthogonal Coordinates . 50 1.18 Properties of Some Elementary Systems . 51 The Field Tensors . 59 1.19 Orthogonal Transformations and Their Invariants . 59 1.20 Elements of Tensor Analysis . 64 1.21 Space-time Symmetry of the Field Equations . 69 1.22 The Lorentz Transformation . 74 1.23 Transformation of the Field Vectors to Moving Systems . 78 xviu CONTENTS Paoe CHAPTER II STRESS AND ENERGY Stress and Strain in Elastic Media . 83 2.1 Elastic Stress Tensor . 83 2.2 Analysis of Strain . 87 2.3 Elastic Energy and the Relations of Stress to Strain . 93 Electromagnetic Forces on Charges and Currents . 96 2.4 Definition of the Vectors E and В . 96 2.5 Electromagnetic Stress Tensor in Free Space . 97 2.6 Electromagnetic Momentum . 103 Electrostatic Energy . 104 2.7 Electrostatic Energy as a Function of Charge Density . 104 2.8 Electrostatic Energy as a Function of Field Intensity . 107 2 0 A Theorem on Vector Fields . Ill 2.10 Energy of a Dielectric Body in an Electrostatic Field . 112 2.11 Thomson's Theorem . 114 2.12 Earnshaw's Theorem . 116 2.13 Theorem on the Energy of Uncharged Conductors . 117 Magnetostatic Energy . 118 2.14 Magnetic Energy of Stationary Currents . 118 2.15 Magnetic Energy as a Function of Field Intensity . 123 2.16 Ferromagnetic Materials . 125 2.17 Energy of a Magnetic Body in a Magnetostatic Field . 126 2.18 Potential Energy of a Permanent Magnet . 129 Energy Flow .131 2.19 Poynting's Theorem .131 2.20 Complex Poynting Vector .135 Forces on a Dielectric in an Electrostatic Field . 137 2.21 Body Forces in Fluids . 137 2.22 Body Forces in Solids . 140 2.23 The Stress Tensor . 146 2.24 Surfaces of Discontinuity . 147 2.25 Electrostriction . 149 2.26 Force on a Body Immersed in a Fluid . 151 Forces in the Magnetostatic Field .153 2.27 Nonferromagnetic Materials .153 2.28 Ferromagnetic Materials .155 Forces in the Electromagnetic Field .156 2.29 Force on a Body Immersed in a Fluid .156 CHAPTER III THE ELECTROSTATIC FIELD General Properties of an Electrostatic Field .160 3.1 Equations of Field and Potential .160 3.2 Boundary Conditions .163 CONTENTS xix Page Calculation of the Field fhom the Charge Distribution . 165 3.3 Green's Theorem . 165 3.4 Integration of Poisson's Equation . 166 3.5 Behavior at Infinity . 167 3.6 Coulomb Field . 169 3.7 Convergence of Integrals . 170 Expansion of the Potential in Sphehical Harmonics . 172 3.8 Axial Distributions of Charge . 172 3.9 The Dipole. 175 3.10 Axial Multipoles . 176 3.11 Arbitrary Distributions of Charge . 178 3.12 General Theory of Multipoles . 179 Dielectric Polarization . 183 3.13 Interpretation of the Vectors Ρ and Π . 183 Discontinuities of Integrals Occurring in Potential Theory . 185 3.14 Volume Distributions of Charge and Dipole Moment . 185 3.15 Single-layer Charge Distributions . 187 3.16 Double-layer Distributions . 188 3.17 Interpretation of Green's Theorem . 192 3.18 Images . 193 Boundary-value Problems . 194 3.19 Formulation of Electrostatic Problems . 194 3.20 Uniqueness of Solution . 196 3.21 Solution of Laplace's Equation . 197 Problem of the Sphere . 201 3.22 Conducting Sphere in Field of a Point Charge . 201 3.23 Dielectric Sphere in Field of a Point Charge . 204 3.24 Sphere in a Parallel Field . 205 Problem of the Ellipsoid . 207 3.25 Free Charge on a Conducting Ellipsoid . 207 3.26 Conducting Ellipsoid in a Parallel Field . 209 3.27 Dielectric Ellipsoid in a Parallel Field . 211 3.28 Cavity Definitions of E and D .213 3.29 Torque Exerted on an Ellipsoid . 215 Problems . 217 CHAPTER IV THE MAGNETOSTATIC FIELD General Properties of a Magnetostatic Field . 225 4.1 Field Equations and the Vector Potential . 225 4.2 Scalar Potential . 226 4.3 Poisson's Analysis . 228 Calculation of the Field of a Current Distribution . 230 4.4 Biot-Savart Law . 230 4.5 Expansion of the Vector Potential . 233 XX CONTENTS РЛОЕ 4.6 The Magnetic Dipole. 236 4.7 Magnetic Shells . 237 A Digression on Units and Dimensions . 238 4.8 Fundamental Systems . 238 4.9 Coulomb's Law for Magnetic Matter . 241 Magnetic Polarization . 242 4.10 Equivalent Current Distributions . 242 4.11 Field of Magnetized Rods and Spheres . 243 Discontinuities or the Vectors A and В . 245 4.12 Surface Distributions of Current . 245 4.13 Surface Distributions of Magnetic Moment . 247 Integration of the Equation V X V X A = mJ . 250 4.14 Vector Analogue of Green's Theorem . 250 4.15 Application to the Vector Potential .' . . 250 Boundary-value Problems . 254 4.16 Formulation of the Magnetostatic Problem . 254 4.17 Uniqueness of Solution . 256 Problem of the Ellipsoid . 257 4.18 Field of a Uniformly Magnetized Ellipsoid . 257 4.19 Magnetic Ellipsoid in a Parallel Field . 258 Cylinder in a Parallel Field . 258 4.20 Calculation of the Field . 258 4.21 Force Exerted on the Cylinder . 261 Problems . 262 CHAPTER V PLANE WAVES IN UNBOUNDED, ISOTROPIC MEDIA Propagation of Plane Waves . 268 5.1 Equations of a One-dimensional Field . 268 5.2 Plane Waves Harmonic in Time . 273 5.3 Plane Waves Harmonic in Space . 278 5.4 Polarization . 279 5.5 Energy Flow . 281 5.6 Impedance . 282 General Solutions of the One-dimensional Wave Equation . 284 5.7 Elements of Fourier Analysis . 285 5.8 General Solution of the One-dimensional Wave Equation in a Nondissipa- tive Medium . 292 5.9 Dissipative Medium; Prescribed Distribution in Time . 297 5.10 Dissipative Medium; Prescribed Distribution in Space . 301 5.11 Discussion of a Numerical Example . 304 5.12 Elementary Theory of the Laplace Transformation . 309 5.13 Application of the Laplace Transformation to Maxwell's Equations . . 318 PREFACE XXI Paoü Dispersion .321 5.14 Dispersion in Dielectrics .321 5.15 Dispersion in Metals .325 5.16 Propagation in an Ionized Atmosphere .327 Velocities op Propagation .330 5.17 Group Velocity .330 5.18 Wave-front and Signal Velocities .333 Problems .340 CHAPTER VI CYLINDRICAL WAVES Equations op a Cylindrical Field . 349 6.1 Representation by Hertz Vectors . 349 6.2 Scalar and Vector Potentials . 351 6.3 Impedances of Harmonic Cylindrical Fields . 354 Wave Functions of the Circular Cylinder . 355 6.4 Elementary Waves . 355 6.5 Properties of the Functions Zp{p) . 357 6.6 The Field of Circularly Cylindrical Wave Functions . 360 Integral Representations of Wave Functions . 361 6.7 Construction from Plane Wave Solutions . 361 6.8 Integral Representations of the Functions Zn(p) . 364 6.9 Fourier-Bessel Integrals . 369 6.10 Representation of a Plane Wavt . 371 6.11 The Addition Theorem for Circularly Cylindrical Waves . 372 Wave Functions of the Elliptic Cylinder . 375 6.12 Elementary Waves . 375 6.13 Integral Representations . 380 6.14 Expansion of Plane and Circular Waves . 384 Problems .387 CHAPTER VII SPHERICAL WAVES The Vector Wave Equation .392 7.1 A Fundamental Set of Solutions .392 7.2 Application to Cylindrical Coordinates .395 The Scalar Wave Equation in Spherical Coordinates .399 7.3 Elementary Spherical Waves .399 7.4 Properties of the Radial Functions .404 7.5 Addition Theorem for the Legendre Polynomials .406 7.6 Expansion of Plane Waves .408 7.7 Integral Representations .409 7.8 A Fourier-Bessel Integral .411 7.9 Expansion of a Cylindrical Wave Function .412 7.10 Addition Theorem for г.(кВ) .413 XX" CONTENTS Page The Vector Wave Equation in Spherical Coordinates . 414 7.11 Spherical Vector Wave Functions . 414 7.12 Integral Representations . 416 7.13 Orthogonality . 417 7.14 Expansion of a Vector Plane Wave . 418 Problems . 420 CHAPTER VIII RADIATION The Inhomogeneous Scalar Wave Equation . 424 8.1 Kirchhoff Method of Integration . 424 8.2 Retarded Potentials . 428 8.3 Retarded Hertz Vector . 430 A Multipole Expansion . 431 8.4 Definition of the Moments . 431 8.5 Electric Dipole. 434 8.6 Magnetic Dipole. 437 Radiation Theory of Linear Antenna Systems . 438 8.7 Radiation Field of a Single Linear Oscillator . 438 8.8 Radiation Due to Traveling Waves . 445 8.9 Suppression of Alternate Phases . 446 8.10 Directional Arrays . 448 8.11 Exact Calculation of the Field of a Linear Oscillator . 454 8.12 Radiation Resistance by the E.M.F. Method . 457 The Kirchhoff-Huygens Principle . 460 8.13 Scalar Wave Functions . 460 8.14 Direct Integration of the Field Equations . 464 8.15 Discontinuous Surface Distributions . 468 Four-dimensional Formulation of the Radiation Problem . 470 8.16 Integration of the Wave Equation . 470 8.17 Field of a Moving Point Charge . 473 Problems . 477 CHAPTER IX BOUNDARY-VALUE PROBLEMS General Theorems . 4g3 9.1 Boundary Conditions . 4g3 9.2 Uniqueness of Solution . 4gg 9.3 Electrodynamic Similitude . 4gg Reflection and Refraction at a Plane Subface . 49O 9.4 Snell's Laws . 430 9.5 Fresneľe Equations . 492 9.6 Dielectric Media . 494. 9.7 Total Reflection .■■■■. 497 9.8 Refraction in a Conducting Medium .' 50O 9.9 Reflection at a Conducting Surface ." ! ! 505 CONTENTS xxiii Page Plane Sheets . 5И 9.10 Reflection and Transmission Coefficients .511 9.11 Application to Dielectric Media .513 9.12 Absorbing Layers .515 Surface Waves .516 9.13 Complex Angles of Incidence .516 9.14 Skin Effect .520 Propagation along a Circular Cylinder . 524 9.15 Natural Modes . 524 9.16 Conductor Embedded in a Dielectric . 527 9.17 Further Discussion of the Principal Wave . 531 9.18 Waves in Hollow Pipes . 537 Coaxial Lines . 545 9.19 Propagation Constant . 545 9.20 Infinite Conductivity . 548 9.21 Finite Conductivity . 551 Oscillations of a Sphere . 554 9.22 Natural Modes . 554 9.23 Oscillations of a Conducting Sphere . 558 9.24 Oscillations in a Spherical Cavity . 560 Diffraction of a Plane Wave by a Sphere . 563 9.25 Expansion of the Diffracted Field . 563 9.26 Total Radiation . 568 9.27 Limiting Cases . 570 Effect of the Earth on the Propagation of Radio Waves . 573 9.28 Sommerfeld Solution . 573 9.29 Weyl Solution . 577 9.30 van der Pol Solution . 582 9.31 Approximation of the Integrals . 583 Problems . 588 APPENDIX I A. Numerical Values of Fundamental Constants . 601 B. Dimensions of Electromagnetic Quantities . 601 С Conversion Tables . 602 APPENDIX II Formulas from Vector Analysis .604 APPENDIX III Conductivity of Various Materials .605 Specific Inductive Capacity of Dielectrics .606 APPENDIX IV Associated Legendre Functions .608 Index . 609 Elee he IEEE Press Series on Electromagnetic Wave Theory G. Dud! First published in 1941, Julius Strattons classic Electromagnetic Theory has been a mainstay for generations oí students, researchers, and scientists. This classic reissue oí the original features a Foreword to the Classic Reissue by Dr. Donald C. Dudley that details the book's contribution to the Held and an introductory biography by Dr. Paul E. Cray, former MIT President and colleague oí Dr. Stratton. ted and frequently cited text remains as useful and terest to todavs students and researchers that include: with areas of The discussion of Hansen vector wave functions The outstanding treatment of phase and group velocity The Stratton-Chu formulation for integration of the vector Helmholtz equations The development ol the source-free solutions for a circular cylinder in a lossy medium The treatment oí · The IEEE Press Series on Electromagnetic Wave Theory offers outstanding coverage of the field It consists of new titles of contemporary interest as well as reissues and revisions of recognized classics by established authors and researchers. The series emphasizes works of long-term archival significance in electromagnetic waves and applications. Designed especially for graduate students, researchers, and practicing engineers, the series provides affordable volumes that explore and explain electromagnetics waves beyond the undergraduate level. JULIUS ADAMS STRATTON I'M) I-1994i had an SB, 19: engineering Massachusetts Institute of Technology,- an ScD in mathematical physics 1928. Eidgenossiche Technische Hochshule Zurich Switzerland· and was the eleventh president of MIT Much of his research at MIT focused on the propagation oť short electromagnetic waves During World War II, he worked on the development of LORAN ! Long Range Navigation for planes and ships. He served as a consultant to Secretary of War Henry L. Stimson and chaired committees to improve all-weather flying systems and ground radar fire control and radar bombing equipment. He also helped plan the use of radar in the Normandv invasion. He was awarded the Medal ol Merit for his services. He became MIT's first chancellor in 1956. acting president in ll)57 and president in 1959. At his retirement in 196o he was elected a lite member of the MIT Corporation A trustee ot the Ford Foundation from 1955-1971 he served as its chairman trom 1966 to 1971.
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discipline	Physik Elektrotechnik / Elektronik / Nachrichtentechnik
discipline_str_mv	Physik Elektrotechnik / Elektronik / Nachrichtentechnik
edition	[Reissued ed.]
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series2	An IEEE Press classic reissue IEEE Press series on electromagnetic wave theory
spelling	Stratton, Julius Adams 1901-1994 Verfasser (DE-588)12102427X aut Electromagnetic theory by Julius Adams Stratton [Reissued ed.] Piscataway, NJ IEEE Press [u.a.] 2007 XXIII, 615 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier An IEEE Press classic reissue IEEE Press series on electromagnetic wave theory Electromagnetic theory Elektromagnetische Welle (DE-588)4014301-6 gnd rswk-swf Wellenfunktion (DE-588)4189547-2 gnd rswk-swf Magnetostatik (DE-588)4168601-9 gnd rswk-swf Schwingung (DE-588)4053999-4 gnd rswk-swf Strahlung (DE-588)4057849-5 gnd rswk-swf Theorie (DE-588)4059787-8 gnd rswk-swf Elektromagnetismus (DE-588)4014306-5 gnd rswk-swf Elektrodynamik (DE-588)4014251-6 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Elektromagnetismus (DE-588)4014306-5 s DE-604 Elektrodynamik (DE-588)4014251-6 s Theorie (DE-588)4059787-8 s 2\p DE-604 Elektromagnetische Welle (DE-588)4014301-6 s 3\p DE-604 Strahlung (DE-588)4057849-5 s 4\p DE-604 Magnetostatik (DE-588)4168601-9 s 5\p DE-604 Wellenfunktion (DE-588)4189547-2 s 6\p DE-604 Schwingung (DE-588)4053999-4 s 7\p DE-604 http://deposit.dnb.de/cgi-bin/dokserv?id=2973767&prov=M&dok_var=1&dok_ext=htm Beschreibung für Leser Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016083641&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016083641&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 7\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Stratton, Julius Adams 1901-1994 Electromagnetic theory Electromagnetic theory Elektromagnetische Welle (DE-588)4014301-6 gnd Wellenfunktion (DE-588)4189547-2 gnd Magnetostatik (DE-588)4168601-9 gnd Schwingung (DE-588)4053999-4 gnd Strahlung (DE-588)4057849-5 gnd Theorie (DE-588)4059787-8 gnd Elektromagnetismus (DE-588)4014306-5 gnd Elektrodynamik (DE-588)4014251-6 gnd
subject_GND	(DE-588)4014301-6 (DE-588)4189547-2 (DE-588)4168601-9 (DE-588)4053999-4 (DE-588)4057849-5 (DE-588)4059787-8 (DE-588)4014306-5 (DE-588)4014251-6 (DE-588)4123623-3
title	Electromagnetic theory
title_auth	Electromagnetic theory
title_exact_search	Electromagnetic theory
title_exact_search_txtP	Electromagnetic theory
title_full	Electromagnetic theory by Julius Adams Stratton
title_fullStr	Electromagnetic theory by Julius Adams Stratton
title_full_unstemmed	Electromagnetic theory by Julius Adams Stratton
title_short	Electromagnetic theory
title_sort	electromagnetic theory
topic	Electromagnetic theory Elektromagnetische Welle (DE-588)4014301-6 gnd Wellenfunktion (DE-588)4189547-2 gnd Magnetostatik (DE-588)4168601-9 gnd Schwingung (DE-588)4053999-4 gnd Strahlung (DE-588)4057849-5 gnd Theorie (DE-588)4059787-8 gnd Elektromagnetismus (DE-588)4014306-5 gnd Elektrodynamik (DE-588)4014251-6 gnd
topic_facet	Electromagnetic theory Elektromagnetische Welle Wellenfunktion Magnetostatik Schwingung Strahlung Theorie Elektromagnetismus Elektrodynamik Lehrbuch
url	http://deposit.dnb.de/cgi-bin/dokserv?id=2973767&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016083641&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016083641&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT strattonjuliusadams electromagnetictheory

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