Practical electrodynamics with advanced applications / Sergey Leble.

Format:

Book

Author/Creator:

Leble, S. B. (Sergeĭ Borisovich), author.

Contributor:

Institute of Physics (Great Britain), publisher.

Series:

IOP series in emerging technologies in optics and photonics

IOP ebooks. 2020 collection.

IOP ebooks. [2020 collection]

Language:

English

Subjects (All):

Electrodynamics.

Physical Description:

1 online resource (various pagings) : illustrations (some color).

Place of Publication:

Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2020]

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

text file

Biography/History:

Professor Leble is the head of laboratory on theoretical physics at the Immanuel Kant Baltic Federal University in Kaliningrad, Russia. He is the author of 215 scientific papers, 13 printed books and has directed general and specialized courses in all areas of theoretical physics.

Summary:

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.

Contents:

1. Introduction

1.1. General remarks : units

1.2. Inertial reference frames

1.3. Tensor fields

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

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

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)

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

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

7. Plasma

7.1. Plasma types

7.2. Propagation of waves in a plasma : example of helicoidal waves

7.3. The nonlinear case

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

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

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

11. New dielectric guides techniques

11.1. Planar waveguides

11.2. Cylindrical dielectric waveguides

11.3. Including nonlinearity

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

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

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

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

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

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

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

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

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.

Notes:

"Version: 20201201"--Title page verso.

Includes bibliographical references.

Title from PDF title page (viewed on January 14, 2021).

Other Format:

Print version:

ISBN:

9780750325769

9780750325752

OCLC:

1231598972

Access Restriction:

Restricted for use by site license.