UID:
almahu_9949112306902882
Format:
1 online resource (various pagings) :
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illustrations (some color).
ISBN:
9780750325769
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9780750325752
Series Statement:
IOP series in emerging technologies in optics and photonics
Content:
This textbook covers the advanced application and techniques of electrodynamics. The book begins with an introduction to the topic, with basic notations and equations presented, before moving on to examine various topics such as electromagnetic waves in a vacuum, the theory of relativity (including the Lorentz transformation) and electromagnetic fields in matter. Dispersion and transport are discussed, along with wave interactions in types of plasma and metamaterials, before the problems of electromagnetism in continuous matter are reviewed, and boundary interactions are studied. The second half of the book looks at the more advanced topics, including dielectric guides techniques, further metamaterial and plasma interactions (such as Helicoidal phenomena), interactions involving conductivity and x-ray, and magnetic field dynamics. Condensed matter equations are covered along with more general matter relations, and an advanced study of the direct and inverse problems of electrodynamics closes the topic. Finally, advanced exercises are available in the final chapter. This is an excellent learning tool for students studying electrodynamics courses, and serves as a robust resource for anyone involved in the field. Part of IOP Series in Emerging Technologies in Optics and Photonics.
Note:
"Version: 20201201"--Title page verso.
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1. Introduction -- 1.1. General remarks : units -- 1.2. Inertial reference frames -- 1.3. Tensor fields
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2. Basic notions and equations of electrodynamics -- 2.1. Electrodynamics in vacuum -- 2.2. Maxwell's equations in integral form -- 2.3. Initial-boundary problem for Maxwell system in vacuum -- 2.4. Vector and scalar potentials -- 2.5. Conservation principles : Poynting theorem
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3. Electromagnetic waves in vacuum -- 3.1. Wave equations -- 3.2. Harmonic plane wave in vacuum without charges -- 3.3. Wave packets -- 3.4. Cauchy Problem in 1 + 1 space-time -- 3.5. Discussion and exercises -- 3.6. Inhomogeneous wave equation : wave generation -- 3.7. Emission of the isolated charged point particle -- 3.8. Emission of oscillating charged system of particles : multipole expansion
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4. Theory of relativity -- 4.1. Lorentz transformation -- 4.2. Space-time geometry -- 4.3. Relativistic kinematics and four-vectors -- 4.4. Relativistic mechanics -- 4.5. Discussion -- 4.6. Exercises -- 4.7. A historical note : about a birth of new mechanics (theory of relativity)
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5. Electromagnetic field in a matter -- 5.1. Definition of vectors : polarization, electric induction, magnetization and magnetic field strength--Maxwell's equations for electromagnetic field in a matter -- 5.2. Macroscopic Maxwell's equations, links to microscopic parameters -- 5.3. Classification of substances with respect to electric and magnetic properties
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6. Dispersion and transport -- 6.1. Dispersion account, operator material relations -- 6.2. Discussion -- 6.3. Dispersion in dielectrics, conductors and plasma -- 6.4. Back to Ohm's law : Hall effect -- 6.5. EM waves in isotropic conducting matter case
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7. Plasma -- 7.1. Plasma types -- 7.2. Propagation of waves in a plasma : example of helicoidal waves -- 7.3. The nonlinear case
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8. Metamaterials -- 8.1. Research on metamaterials -- 8.2. Statement of problem : dispersion operator -- 8.3. Projecting operators -- 8.4. Separated equations and definition for left and right waves -- 8.5. Nonlinearity account -- 8.6. Wave propagation in a metamaterial within the lossless Drude dispersion and Kerr nonlinearity -- 8.7. Discussion and conclusion
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9. Problems of electromagnetism in a piecewise continuous matter -- 9.1. Electro- and magneto-statics -- 9.2. Boundary conditions -- 9.3. Demagnetization field -- 9.4. Stray fields -- 9.5. Microwire : DW and observations -- 9.6. The stray field of the planar DW
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10. Reflection and refraction of electromagnetic waves at a boundary -- 10.1. Reflection and transmission of a plane wave on a border -- 10.2. Problem of a plane wave with fixed frequency refraction -- 10.3. Boundary conditions impact -- 10.4. Energy density flux -- 10.5. Discussion
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11. New dielectric guides techniques -- 11.1. Planar waveguides -- 11.2. Cylindrical dielectric waveguides -- 11.3. Including nonlinearity
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12. Propagation of electromagnetic waves in exclusive dispersive media such as metamaterials -- 12.1. Electromagetic waves in metamaterial -- 12.2. Directed modes in rectangular waveguides : polarization, dispersion, nonlinearity -- 12.3. Boundary conditions : the transversal waveguide modes evolution -- 12.4. Rectangular waveguide filled with metamaterial : nonlinearity account
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13. Plasma basic equations, waveguide formation -- 13.1. Maxwell-kinetic system -- 13.2. Waves in homogeneous plasma -- 13.3. Weakly inhomogeneous plasma -- 13.4. Plasma waveguides
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14. Helicoidal and other plasma wave phenomena -- 14.1. Helicoidal waves interactions -- 14.2. Algebraic method of three-wave systems solution : solitons -- 14.3. Interaction of plasma waves
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15. Diffraction in the presence of conductivity, x-rays manipulation and focusing -- 15.1. General remarks -- 15.2. Basic equations -- 15.3. Propagation of x-rays in vacuum -- 15.4. Approximation of electromagnetic field as a superposition of Gaussian beams -- 15.5. Oriented Gaussian beams method application to x-rays propagation through optical elements -- 15.6. Study of accuracy and efficiency of Gaussian beam methods -- 15.7. Numerical calculations scheme -- 15.8. The numerical simulations -- 15.9. Results for ideal lenses and the bulk defects influence
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16. Magnetic field dynamics, novel aspects of a theory based on Landau-Lifshitz-Gilbert equations -- 16.1. An exchange interaction concept -- 16.2. Heisenberg network dynamics -- 16.3. Walker theory -- 16.4. Propagation of domain wall in cylindrical amorphous ferromagnetic microwire -- 16.5. Average magnetization fields and DW dynamics -- 16.6. Exact particular solutions of LLG equation
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17. Condensed matter electrodynamics : equations of state by partition function -- 17.1. On derivation ab initio of an equation of state -- 17.2. Spin system and equations of state -- 17.3. Heisenberg theory -- 17.4. Para-, and ferro-magnetic matter -- 17.5. Problem of ferromagnetic state -- 17.6. Multiferroics -- 17.7. Fine particles case
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18. More general material relations -- 18.1. A concept -- 18.2. Symmetry and groups -- 18.3. Euclidean and Lorentz symmetry -- 18.4. Active dielectrics -- 18.5. Flexoelectricity -- 18.6. Ferroelasticity
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19. On direct and inverse problems of electrodynamics -- 19.1. Direct problem of plane wave propagation in a layered medium -- 19.2. On inverse problem -- 19.3. Data collection methods : examples -- 19.4. Inverse problems as ill-posed one
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20. Advanced exercises -- 20.1. Short list of useful vector and tensor relations -- 20.2. A few definitions : curves, surfaces, integrals, etc -- 20.3. Projecting operators -- 20.4. Dressing method -- 20.5. Dielectric waveguides -- 20.6. Electromagnetic waves in metamaterials -- 20.7. Plasma confinement -- 20.8. Wave propagation at plasma -- 20.9. Refraction in presence of conductivity -- 20.10. Magnetism, a novel aspect -- 20.11. Condensed matter electrodynamics : equations of state by partition function -- 20.12. General material relations -- 20.13. Inverse problems of electrodynamics.
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Also available in print.
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Mode of access: World Wide Web.
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System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.
Additional Edition:
Print version: ISBN 9780750325745
Additional Edition:
ISBN 9780750325776
Language:
English
DOI:
10.1088/978-0-7503-2576-9
URL:
https://iopscience.iop.org/book/978-0-7503-2576-9
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