Field, force, energy and momentum in classical electrodynamics [electronic resource] / Masud Mansuripur.

Format:

Book

Author/Creator:

Mansuripur, Masud.

Language:

English

Subjects (All):

Electrodynamics.

Physical Description:

1 online resource (351 p.)

Edition:

1st ed.

Place of Publication:

[Oak Park, Ill.?] : Bentham eBooks, [2011]

Language Note:

English

Summary:

For the past 100 years physicists have debated the nature of the momentum of light inside material media. Hermann Minkowski, for example, asserts that within a transparent dielectric the momentum of a photon is the photon's vacuum momentum multiplied by the refractive index of the dielectric. An opposing theory postulated by Max Abraham, contends that the vacuum momentum must instead be divided by the refractive index. There have also been questions about the electromagnetic momentum inside magnetic media, and whether or not a part of the momentum is hidden. This book explains the laws

Contents:

CONTENTS; Preface; Keywords; Chapter 1: Scalar and Vector Fields; 1.1. Introduction; 1.2. Space and time; 1.3. Scalar and vector fields; 1.4. Gradient of a scalar field; 1.5. Integration of fields over time and/or space; 1.6. Divergence of a vector field; 1.7. Theorem of Gauss; 1.8. Curl of a vector field; 1.9. Theorem of Stokes; 1.10. Longitudinal and transverse vector plane-waves; General References; Problems; Chapter 2: Foundations of the Classical Maxwell-Lorentz Theory of Electrodynamics; 2.1. Introduction; 2.2. Definition: Permittivity ε o of free-space

2.3. Definition: Permeability μ o of free space 2.4. Speed of light c and impedance of free space Z o; 2.5. Sources of electromagnetic fields; 2.6. Electric field E and magnetic field H; 2.7. Electric displacement D and magnetic induction B; 2.8. Rules of the game; 2.9. Rule 1: Maxwell's first equation; 2.10. Rule 2: Maxwell's second equation; 2.11. Continuity equation of charge and current; 2.12. Rule 3: Maxwell's third equation; 2.13. Rule 4: Maxwell's fourth equation; 2.14. Macroscopic versus microscopic equations

2.15. Bound charge and bound current associated with polarization and magnetization 2.16. Magnetic bound charge and bound current; 2.17. Maxwell's boundary conditions; 2.18. Rule 5: Energy in electromagnetic systems; 2.19. Rule 6: Momentum density of the electromagnetic field; 2.20. The Einstein-box gedanken experiment; 2.21. The thought experiment of Balazs; 2.22. Rule 7: Angular momentum density of the electromagnetic field; 2.23. Rule 8: Force density exerted by electromagnetic fields on material media; 2.24. Conservation of linear momentum

2.25. Rule 9: Torque density exerted by electromagnetic fields on material media 2.26. Conservation of angular momentum; General References; Problems; Chapter 3: Mathematical Preliminaries; 3.1. Introduction; 3.2. Elementary special functions; 3.3. The Fourier transform operator; 3.4. The Fourier theorem; 3.5. Fourier transformation in higher dimensions; 3.6. Bessel functions and their properties; General References; Problems; Chapter 4: Solving Maxwell's Equations; 4.1. Introduction; 4.2. Plane-wave solutions of Maxwell's equations

4.3. Electric field produced by a stationary point-charge (electrostatics)4.4. Electric field of a line-charge (electrostatics); 4.5. Electric field of a uniformly-charged plate (electrostatics); 4.6. Magnetic field of a long, thin wire carrying a constant current(magnetostatics); 4.7. Magnetic field of a hollow cylinder carrying a constant current(magnetostatics); 4.8. Electric field produced by a point-dipole (electrostatics); 4.9. Fields radiated by an oscillating point-dipole (electrodynamics); 4.10. Radiation by an oscillating current sheet (electrodynamics)

4.11. Radiation by an oscillating line-current (electrodynamics)

Notes:

Includes index.

ISBN:

1-60805-253-2

OCLC:

758388597