Principles of electrodynamics / Melvin Schwartz.

CONTEN

1 MATHEMATICAL REVIEW AND SURVEY OF SOME NEW MATHEMATICAL IDEAS
1.1 Vectors in three dimensions: A review of elementary notions
1.2 The transformation properties of vectors under spatial rotation
1.3 Differentiation of vectors with respect to time and position: The "Del" operator as a vector
1.4 The notion of flux: Divergence of a vector field; gauss theorem
etc.

2 PRINCIPLES OF ELECTROSTATICS
2.1 Introduction; Coulomb's law
2.2 The divergence of E; gauss' law
2.3 A few words about materials; conductors
2.4 The conservative nature of electrostatics; potential
etc.

3 ELECTROMAGNETISM AND ITS RELATION TO RELATIVITY
3.1 Introduction; the Michelson-Morley experiment
3.2 the Lorentz transformation
3.3 Charge density and current density as components of a four-vector
3.4 There must be a "magnetic field"!
etc.

4 TIME-INDEPENDENT CURRENT DISTRIBUTIONS: MAGNETOSTATICS
4.1 An elementary derivation of Ohm's law
4.2 Finding magnetic field through the vector potential
4.3 The Biot-Savart law
4.4 B as the gradient of a potential function
etc.

5 THE VARIATION OF THE ELECTROMAGNETIC FIELD WITH TIME: FARADAY'S LAW, DISPLACEMENT CURRENTS, THE RETARDED POTENTIAL
5.1 Faraday's law
5.2 The conservation of energy; the pointing vector
5.3 Momentum conservation in electromagnetism
5.4 Electromagnetic mass
etc.

6 LET THERE BE LIGHT
6.1 A new way of calculating retarded potentials in an intuitively appealing manner
6.2 The potentials of a small moving charge
6.3 Differentiating the Lienard-Wiechert potentials; the radiation field
6.4 Energy radiation; nonrelativistic treatment
etc.

7 THE INTERACTION OF RADIATION WITH MATTER
7.1 The absorption and reflection of radiation by an idealized conducting sheet with no magnetism
7.2 We allow the conductor to have magnetic permeability
7.3 The physical origin of the refractive index
7.4 What happens when n<1? phase velocity and group velocity
etc.

8 MULTIPOLE EXPANSION OF THE RADIATION FIELD: SOME FURTHER CONSIDERATIONS ON THE INTERACTION OF RADIATION WITH MATTER; INTERFERENCE AND DIFFRACTION
8.1 A general statement of the problem
8.2 Electric dipole radiation
8.3 Magnetic dipole and electric quadrupole radiation
8.4 We re-examine the passage of radiation through matter
etc.

9 WAVEGUIDES AND CAVITIES
9.1 The perfectly conducting, rectangular waveguide
9.2 Ideal rectangular cavities
9.3 Loss in the cavity walls; the notion of q in general and as applied to our cavity

10 ELECTRIC AND MAGNETIC SUSCEPTIBILITY
10.1 The electric polarizability of nonpolar molecules having spherical symmetry
10.2 The relation between atomic polarizability and electric susceptibility
10.3 Polarizability as a second rank tensor
10.4 The polarizability of a polar molecule
etc.

Includes index.