Electromagnetic radiation:
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| Main Authors: | , , |
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| Format: | Book |
| Language: | English |
| Published: |
Oxford
Oxford University Press
[2019]
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| Edition: | First edition |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | xii, 624 Seiten Illustrationen |
| ISBN: | 9780198726500 |
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Contents Part I Introductory Foundations 1 Essentials of Electricity and Magnetism 1.1 Maxwell’s static equations in vacuum 1.1.1 Electrostatic equations 1.1.2 Magnetostatic equations 1.1.3 Lorentz force 1.2 Maxwell’s static equations in matter 1.2.1 Response of material to fields 1.2.2 Bound charges and currents 1.2.3 Macroscopic fields 1.2.4 Polarizability and Susceptibility 1.2.5 The canonical constitutive relations 1.2.6 Electric fields and free charges in materials 1.3 Energy of static charge and current configurations 1.3.1 Electrostatic field energy 1.3.2 Magnetic field energy 1.4 Maxwell’s dynamic equations in vacuum 1.4.1 Faraday’s contribution 1.4.2 Conservation of charge and the continuity equation 1.4.3 Maxwell’s contribution 1.5 Maxwell’s dynamic equations in matter 1.5.1 Origin of material currents 1.6 Plane wave propagation in vacuum 1.6.1 Polarization of plane waves 1.7 E M propagation within simple media 1.8 Electromagnetic conservation laws 1.8.1 Energy density 1.8.2 Poynting’s Theorem 1.8.3 Linear momentum density 1.8.4 Maxwell stress tensor 1.9 Radiation in vacuum 1.9.1 Field amplitude as a function of distance from the source 1.9.2 Decoupling of radiation fields from the source 1.9.3 Illustration of coupled and decoupled fields from an accelerated charge Exercises 1.10 Discussions 3 3 4 5 6 6 7 9 10 11 13 13 14 14 16 IS 19 20 21 22 22 24 26 29 30 30 31 31 33 34 35 35 36 38 39
vi 2 Contents The Potentials 43 2.1 The magnetic and electric fields in terms of potentials 2.2 Gauge considerations 2.3 The wave equations prescribing the potentials using theLorenz gauge 2.4 Retarded time 2.4.1 Potentials with retarded time 2.5 Moments of the retarded potential 2.5.1 Potential zones 2.5.2 General expansion of the retarded potential Exercises 2.6 Discussions 43 44 45 46 48 49 49 51 55 55 Part II Origins of Radiation Fields 3 General Relations between Fields and Sources 3.1 Relating retarded potentials to observable fields 3.1.1 Spatial derivatives of retarded potentials 3.2 Jefimenko’s equations from the retarded potentials 3.3 Graphical representation of transverse fields arising from acceleration 3.4 Jefimenko’s equations without regard to retarded potentials: Green Functions 3.4.1 Field characteristics 3.4.2 Example: fields directly from Jefimenko’s equations Exercises 3.5 Discussions 4 Fields in Terms of the Multipole Moments of the Source 4.1 Multipole radiation using Jefimenko’s equations 4.1.1 Approximate spatial dependence 4.1.2 Radiation from zeroth order moments 4.1.3 Radiation from first order moments 4.2 Multipole radiation from the scalar expansion of the vector potential 4.2.1 Fields from an electric dipole moment 4.2.2 Fields from magnetic dipole moment 4.2.3 Fields from electric quadrupole moment 4.3 Power radiated in terms of multipole moments of the source 4.3.1 Power radiated by electric dipole moment 4.3.2 Power radiated by magnetic dipole moment 4.3.3 Power radiated by electric quadrupole moment Exercises 4.4 Discussions 63 63 65 67 69
71 74 75 79 80 85 85 85 87 89 91 92 94 98 99 99 100 101 103 106
Contents vii Part III Electromagnetism and Special Relativity 5 Introduction to Special Relativity 5.1 Historical introduction-1666 to 1905 5.1.1 The nature of space and time 5.1.2 The nature of light 5.1.3 Michelson-Morley experiments 5.2 Einstein and the Lorentz transformation 5.2.1 Einstein’s approach 5.2.2 The Lorentz transformation: covariance among inertial frames 5.3 The invariant interval and the geometry of space-time 5.3.1 Minkowski space-time diagrams 5.3.2 Physical consequences of special relativity 5.4 Vector space concepts 5.4.1 Contravariant and covariant vectors 5.4.2 The metric tensor 5.4.3 Generation of other 4-vectors and 4-tensors 5.5 Some important general 4-vectors 5.5.1 The 4-gradient operator 5.5.2 The 4-vector velocity 5.5.3 The 4-vector momentum 5.5.4 The 4-vector force 5.6 Some important “E M” 4-vectors 5.6.1 The 4-wavevector 5.6.2 The 4-current density 5.6.3 The 4-potential (in LorenzGauge) 5.7 Other covariant and invariant quantities 5.7.1 The angular momentum 4-tensor 5.7.2 Space-time volume 5.7.3 Space-time delta function 5.8 Summary of 4-vector results 5.9 Maxwell’s equations and special relativity 5.9.1 Manifest covariance of Maxwell’s equations 5.9.2 The electromagnetic field tensor 5.9.3 Simple field transformation examples 5.10 The Einstein stress-energy tensor Exercises 5.11 Discussions 6 Radiation from Charges Moving at Relativistic Velocities 6.1 Lienard-Wiechert potentials 6.1.1 Derivation by integral transform 6.1.2 Derivation by geometric construction ИЗ 115 115 117 121 121 122 125 130 131 135 139 141 148 149 150 151 153 154 157 159
159 161 161 162 162 163 164 164 165 165 166 169 17 3 175 176 184 185 187 188
viii Contents 6.2 Radiation fields from a single charge undergoing acceleration 6.2.1 Moving charge general field characteristics 6.3 Power radiated from an accelerated charge 6.3.1 Low velocities and classical Larmor’s formula 6.3.2 Radiated power for relativistic particles 6.4 Acceleration parallel and perpendicular to velocity 6.4.1 Angular distribution for acceleration || to velocity 6.4.2 Angular distribution for acceleration _L to velocity 6.4.3 Total radiated power for acceleration || and -L to velocity 6.5 Spectral distribution of radiation from an accelerated charge 6.6 Synchrotron radiation 6.7 Fields from a single charge moving with constant velocity 6.7.1 Parametrization of the fields 6.7.2 Spectral energy density of the fields 6.7.3 Number of photons associated with fields of a passing charge 6.8 Bremsstrahlung Exercises 6.9 Discussions 7 Relativistic Electrodynamics 7.1 Dynamics using action principles: Lagrangian and Hamiltonian mechanics 7.1.1 Concept of action 7.2 Relativistic mechanics of single point-like particles 7.2.1 The relativistic mechanics of a free particle 7.2.2 Free particle canonical 4-momentum 7.2.3 Free particle angular momentum 4-tensor 7.2.4 A charged particle in an external electromagnetic field 7.3 The action principle description of the electromagnetic field 7.3.1 Equations of motion 7.3.2 Lagrangian density function 7.3.3 Recovery of Maxwell’s equations 7.3.4 Gauge invariance 7.3.5 The Proca Lagrangian 7.4 The Hamiltonian density and canonical stress-energy tensor 7.4.1 From the Maxwell stress tensor to the 4D stress-energy tensor
7.4.2 Hamiltonian density: the “00” canonical stress-energy tensor component 7.4.3 Canonical stress-energy tensor and conservation laws 7.4.4 Canonical electromagnetic stress-energy tensor 7.4.5 Symmetric electromagnetic stress-energy tensor 7.4.6 Angular momentum density of fields 7.4.7 Electromagnetic stress-energy tensor including source terms Exercises 7.5 Discussions 190 195 196 197 198 200 200 202 203 205 209 214 218 220 222 223 227 228 229 229 230 234 234 236 237 239 243 245 247 249 250 252 254 254 255 256 257 258 259 261 261 263
Contents 8 Field Reactions to Moving Charges 8.1 Electromagnetic field masses 8.2 Field reaction as a self-force 8.2.1 Lorentz calculation of the self-force 8.2.2 Some qualitative arguments for the self-force 8.3 Abraham-Lorentz formula and the equations of motion 8.3.1 The equations of motion 8.3.2 Landau-Lifshitz approximation 8.3.3 Characteristic time 8.4 The 4/3 problem, instability, and relativity 8.5 Infinite mass of the Abraham-Lorentz model Exercises 8.6 Discussions ix 267 268 269 270 274 276 278 282 283 284 291 294 296 Part IV Radiation in Materials 9 Properties of Electromagnetic Radiation in Materials 9.1 Polarization, magnetization, and current density 9.2 A practical convention for material response 9.3 E M propagation within simple media 9.4 Frequency dependence 9.4.1 w oo 9.4.2 ω -*■ 0 9.4.3 Plane waves versus diffusion 9.4.4 Transient response in a conductor 9.4.5 Temporal wave-packet 9.4.6 Group velocity versus phase velocity 9.4.7 Pulse broadening 9.5 Plane waves at interfaces 9.5.1 Boundaries 9.5.2 Fresnel transmission and reflectionamplitude coefficients 9.5.3 Total internal reflection 9.5.4 Fresnel transmission and reflectionintensity coefficients 9.5.5 Fresnel transmission and reflection:vacuum/material interface 9.6 Some practical applications 9.6.1 The two-surface problem 9.6.2 Lossy dielectrics and metals 9.7 Frequency and time domain polarization response to the fields 9.7.1 Example 9.8 Kramers-Kronig relationships 9.9 Measuring the response of matter to fields 9.9.1 Measuring the optical constants ofa material 303 304 306 307 310 310 312 313 316
317 319 320 322 322 325 328 332 333 335 335 338 339 342 343 346 347
x Contents 9.9.2 Single frequency measurements 9.9.3 Spectral measurements Exercises 9.10 Discussions 10 Models of Electromagnetic Response of Materials 10.1 Classical models of Drude and Lorentz 10.1.1 The Drude model of free electrons 10.1.2 The lorentz model of bound electrons 10.1.3 The combined model: Lorentz-Drude 10.1.4 Lorentz and Drude model response functions 10.2 Lorentz insulators 10.2.1 Multiple binding frequencies 10.3 Drude metals and plasmas 10.4 Measuring the Lorentz-drude response of matter to fields 10.4.1 Single frequency measurements 10.4.2 Dual polarization Fresnel reflectivity measurement 10.4.3 Broadband measurements and responsemodels Exercises 11 Scattering of Electromagnetic Radiation in Materials 11.1 11.2 Scattering Scattering by dielectric small particles 11.2.1 Scattering by a free electron: Thomson scattering 11.2.2 Scattering by a harmonically bound electron 11.2.3 Scattering near resonance 11.2.4 Plasmon resonance 11.3 Integral equations, the Born approximation andoptical theorem 11.3.1 Scalar theory 11.3.2 Vector theory 11.4 Partial wave analysis 11.4.1 Scalar theory 11.4.2 Vector partial wave analysis 11.4.3 Solution of scattering from a homogeneous sphere: Mie scattering 11.5 Some results 11.5.1 The long wavelength limit 11.5.2 Scattering off dielectric spheres: water droplets Exercises 11.6 Discussions 12 Diffraction and the Propagation of Light 12.1 12.2 12.3 Diffraction Geometric optics and the eikonal equation Kirchhoff’s diffraction theory 348 355 358 360 366 366 368 370 374 375 376 383 384 388 388 389 391 394 398 398 402 404 405
407 408 411 413 417 423 424 429 438 443 443 445 455 456 467 467 470 471
Contents 12.3.1 Kirchhoff’s integral theorem 12.3.2 Kirchhoff’s diffraction theory: boundary conditions 12.3.3 Alternate boundary conditions: Rayleigh-Sommerfeld diffraction 12.3.4 Babinet’s principle 12.3.5 Fresnel approximation 12.3.6 Fraunhofer (far-field) diffraction 12.3.7 Fresnel diffraction of rectangular slit: the near-field 12.4 The angular spectrum representation 12.4.1 Gaussian beams 12.4.2 Fourier optics (far-field) 12.4.3 Tight focusing of fields 12.4.4 Diffraction limits on microscopy Exercises 12.5 Discussions 13 Radiation Fields in Constrained Environments 13.1 13.2 13.3 13.4 13.5 13.6 13.7 Constrained environments Mode counting: the density of electromagnetic modes in space Thermal radiation Casimir forces Spontaneous emission: the Einstein A and В coefficients Microwave cavities Microwave waveguides 13.7.1 General features of waveguides 13.7.2 Rectangular conducting waveguides 13.7.3 Transmission lines and coaxial cables: ТЕМ modes 13.8 One-dimensional optical waveguides: the ray optic picture 13.8.1 The three-layer planar waveguide: the wave solutions of Maxwell’s equations 13.8.2 Fiber optics: the step-index circular waveguide 13.8.3 Higher order modes, single mode fibers, and dispersion 13.9 Photonic crystals Exercises 13.10 Discussions A Vector Multipole Expansion of the Fields A.l Vector spherical harmonics A. 1.1 VSH expansion of general radiation fields A.2 Multipole expansion of electromagnetic radiation A.2.1 Non-homogeneous field wave equations A.2.2 VSH expansion of the field wave equations A.2.3 Parity considerations A.2.4 Multipole expansion
in a source-free region A.3 Multipole radiation: energy and angular momentum A.3.1 Energy density and the Poynting vector xi 471 473 475 479 481 483 485 488 491 495 496 506 514 516 523 523 527 530 532 537 540 543 543 545 546 548 553 557 562 565 571 572 583 583 584 584 584 585 587 588 589 589
xii Contents A.3.2 Momentum density and angular momentum density A.4 Multipole fields from vector harmonic expansion A.4.1 Multipole expansion including sources A.4.2 The small source approximation: near and far zones References Index 591 594 594 598 613 617
Electromagnetic Radiation is a graduate level book on classical electrodynamics with a strong emphasis on radiation. This book is meant to quickly and efficiently introduce students to the electromagnetic radiation science essential to a practicing physicist. While a major focus is on light and its interactions, topics in radio frequency radiation, x-rays, and beyond are also treated. Special emphasis is placed on applications, with many exercises and problems. The format of the book is designed to convey the basic concepts in a mathematically rigorous manner, but with detailed derivations routinely relegated to the accompanying side notes or end of chapter “Discussions". The book is composed of four parts: Part I is a review of basic E M (electricity and magnetism), and presents a concise review of topics covered in the subject. Part II addresses the origins of radiation in terms of time variations of charge and current densities within the source, and presents Jefimenko’s field equations as derived from retarded potentials. Part III introduces special relativity and its deep connection to Maxwell’s equations, together with an introduction to relativistic field theory, as well as the relativistic treatment of radiation from an arbitrarily accelerating charge. A highlight of this part is a chapter on the still partially unresolved problem of radiation reaction on an accelerating charge. Part IV treats the practical problems of electromagnetic radiation interacting with matter, with chapters on energy transport, scattering, diffraction and finally an illuminating,
application-oriented treatment of fields in confined environments. Richard Freeman is Emeritus Distinguished Professor of Mathematical and Physical Sciences at the Ohio State University, and Emeritus Edward Teller Professor of Applied Sciences at the University of California, Davis. James King is Senior Scientist at Mission Support and Test Services. Gregory Lafyatis is Associate Professor of Physics at the Ohio State University. Also Published by Oxford University Press: Solved Problems in Classical Electromagnetism Analytical and Numerical Solutions with Comments J. Pierrus Electrodynamics from Ampere to Einstein Olivier Darrigol Plasma Physics and Fusion Plasma Electrodynamics Abraham Bers Basic X-Ray Scattering for Soft Matter Wim H. de Jeu Light-Matter Interaction, Second Edition Physics and Engineering at the Nanoscale John Weiner and Frederico Nunes Cover image: Aelius Aaron/ Shutterstock.com ISBN 978-0-19-872650-0 OX-FORD UNIVERSITY PRESS www.oup.com 9780198726500 |
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| spelling | Freeman, R. R. Verfasser (DE-588)1179790820 aut Electromagnetic radiation Richard Freeman, James King, and Gregory Lafyatis First edition Oxford Oxford University Press [2019] xii, 624 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Elektromagnetische Strahlung (DE-588)4014297-8 gnd rswk-swf Elektrodynamik (DE-588)4014251-6 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Elektromagnetische Strahlung (DE-588)4014297-8 s DE-604 Elektrodynamik (DE-588)4014251-6 s King, James A. Verfasser (DE-588)1179793404 aut Lafyatis, Gregory P. Verfasser (DE-588)1179794028 aut Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030789863&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030789863&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Freeman, R. R. King, James A. Lafyatis, Gregory P. Electromagnetic radiation Elektromagnetische Strahlung (DE-588)4014297-8 gnd Elektrodynamik (DE-588)4014251-6 gnd |
| subject_GND | (DE-588)4014297-8 (DE-588)4014251-6 (DE-588)4123623-3 |
| title | Electromagnetic radiation |
| title_auth | Electromagnetic radiation |
| title_exact_search | Electromagnetic radiation |
| title_full | Electromagnetic radiation Richard Freeman, James King, and Gregory Lafyatis |
| title_fullStr | Electromagnetic radiation Richard Freeman, James King, and Gregory Lafyatis |
| title_full_unstemmed | Electromagnetic radiation Richard Freeman, James King, and Gregory Lafyatis |
| title_short | Electromagnetic radiation |
| title_sort | electromagnetic radiation |
| topic | Elektromagnetische Strahlung (DE-588)4014297-8 gnd Elektrodynamik (DE-588)4014251-6 gnd |
| topic_facet | Elektromagnetische Strahlung Elektrodynamik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030789863&sequence=000001&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=030789863&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT freemanrr electromagneticradiation AT kingjamesa electromagneticradiation AT lafyatisgregoryp electromagneticradiation |