Modern electrodynamics in different media is a wide branch of electrodynamics which combines the exact theory of electromagnetic fields in the presence of electric charges and currents with statistical description of these fields in gases, plasmas, liquids and solids; dielectrics, conductors and superconductors. It is widely used in physics and in other natural sciences (such as astrophysics and geophysics, biophysics, ecology and evolution of terrestrial climate), and in various technological applications (radio electronics, technology of artificial materials, laser-based technological processes, propagation of bunches of charges particles, linear and nonlinear electromagnetic waves, etc.). Electrodynamics of matter is based on the exact fundamental (microscopic) electrodynamics but is supplemented with specific descriptions of electromagnetic fields in various media using the methods of statistical physics, quantum mechanics, physics of condensed matter (including theory of superconductivity), physical kinetics and plasma physics.
This book presents in one unique volume a systematic description of the main electrodynamic phenomena in matter:
- A large variety of theoretical approaches used in describing various media
- Numerous important manifestations of electrodynamics in matter (magnetic materials, superconductivity, magnetic hydrodynamics, holography, radiation in crystals, solitons, etc.)
- A description of the applications used in different branches of physics and many other fields of natural sciences
- Describes the whole complexity of electrodynamics in matter including material at different levels.
- Oriented towards 3-4 year bachelors, masters, and PhD students, as well as lectures, and engineers and scientists working in the field.
- The reader will need a basic knowledge of general physics, higher mathematics, classical mechanics and microscopic (fundamental) electrodynamics at the standard university level
- All examples and problems are described in detail in the text to help the reader learn how to solve problems
- Advanced problems are marked with one asterisk, and the most advanced ones with two asterisks. Some problems are recommended to be solved first, and are are marked by filled dots; they are more general and important or contain results used in other problems.
Author(s): Igor N. Toptygin
Publisher: Wiley-VCH
Year: 2015
Language: English
Pages: 718
Toptygin, I. N. Electromagnetic phenomena in matter_statistical and quantum approaches(W-vch,2015)(ISBN 9783527411788)(T)(K)(600dpi)(718p) ......Page 4
Copyright ......Page 5
Contents v ......Page 6
Preface IX ......Page 9
Basis Notations XIII ......Page 12
Fundamental Constants and Frequently Used Numbers XVII ......Page 16
1 Equations of Steady Electric and Magnetic Fields in Media I ......Page 17
1.1 Averaging Microscopic Maxwell Equations. Vectors of Electromagnetic Fields in Media 2 ......Page 18
1.2 Equations of Electrostatics and Magnetostatics in Medium 4 ......Page 20
1.3 Polarization of Media in a Constant Field 7......Page 23
Problems 12 ......Page 28
1.4 Answers and Solutions 17 ......Page 33
2 Electrostatics of Conductors and Dielectrics 37 ......Page 53
2.1 Basic Concepts and Methods of Electrostatics 37 ......Page 50
Problems 41 ......Page 57
2.2 Special Methods of Electrostatics 45 ......Page 61
Problems 54 ......Page 70
2.3 Energy, Forces, and Thermodynamic Relations for Conductors and Dielectrics 59 ......Page 75
Problems 71 ......Page 87
2.4 Answers and Solutions 76 ......Page 92
3.1 Stationary Current 115 ......Page 131
Problems 123 ......Page 139
3.2 Magnetic Field in Magnetic Media 129 ......Page 145
Problems 131 ......Page 147
3.3 Energy, Forces, and Thermodynamic Relations for Magnetics 133 ......Page 149
Problems 145 ......Page 161
3.4 Electric and Magnetic Properties of Superconductors 149 ......Page 165
Problems 153 ......Page 169
Problems 155 ......Page 171
Problems 160 ......Page 176
3.5 Answers and Solutions 164 ......Page 180
4.1 Quasi-Stationary Phenomena in Linear Conductors 193 ......Page 209
Problems 197 ......Page 213
4.2 Eddy Currents and Skin-Effect 201 ......Page 217
Problems 205 ......Page 221
4.3 Magnetic Hydrodynamics 207 ......Page 223
Problems 222 ......Page 238
4.4 Answers and Solutions 228 ......Page 244
5.1 Different Forms of Maxwell Equations in Media. Coupling Equations and Electromagnetic Response Functions 275 ......Page 291
Problems 287 ......Page 303
5.2 Causality Principle and Dispersion Relations 291 ......Page 307
Problems 296 ......Page 312
5.3 Energy Relations for Alternating Electromagnetic Field in Media. Longitudinal Electric Oscillations 297 ......Page 313
Problems 302 ......Page 318
5.4 Magnetic Oscillations and Magnetic Resonance 304......Page 320
Problems 306 ......Page 322
5.5 Electrodynamics of Moving Media 308 ......Page 324
Problems 311 ......Page 327
Problems 321 ......Page 337
5.6 Energy-Momentum Tensor in Dispersive Media 322 ......Page 338
5.7 Answers and Solutions 327 ......Page 343
6.1 Transverse Waves in Isotropic Media. Reflection and Refraction of Waves 363 ......Page 379
Problems 377 ......Page 393
6.2 Plane Waves in Anisotropic and Gyrotropic Media 382 ......Page 398
Problems 387 ......Page 403
6.3 Scattering of Electromagnetic Waves by Macroscopic Bodies. Diffraction 390 ......Page 406
Problem 393 Problems 401 ......Page 417
6.4 Diffraction of X-Rays 405 ......Page 421
Problems 408 ......Page 424
6.5 Answers and Solutions 410 ......Page 426
7.1 Coherence and Interference 463 ......Page 479
Problems 472 ......Page 488
7.2 Random Waves and Waves in Randomly Inhomogeneous Media 477 ......Page 493
Problems 489 ......Page 505
7.3 Waves in Nonlinear and Active Media 490 ......Page 506
Problems 503 ......Page 519
7.4 Answers and Solutions 504 ......Page 520
8.1 Electromagnetic Waves in Waveguides 521 ......Page 537
Problems 524 ......Page 540
8.2 Electromagnetic Oscillations in Resonators 530 ......Page 546
Problems 531 ......Page 547
8.3 Answers and Solutions 536 ......Page 552
9.1 Ionization and Radiation Energy Losses of Fast Particles in Media 565 ......Page 581
Problems 590 ......Page 606
9.2 Macroscopic Mechanisms of Radiation of Fast Particles in Media 591 ......Page 607
Problems 605 ......Page 621
9.3 Channeling and Radiation Emitted by Fast Particles in Crystals 609 ......Page 625
9.4 Acceleration of Particles in Turbulent Plasma Media 624 ......Page 640
Problems 647 ......Page 663
9.5 Answers and Solutions 649 ......Page 665
Appendix: Turbulence and Its Description with the Aid of Correlation Tensors 681 ......Page 697
Bibliography 689 ......Page 705
Index 697 ......Page 713
cover......Page 1
