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8.311

Electromagnetic Theory I

4-0-8 units · Graduate

Basic principles of electromagnetism: experimental basis, electrostatics, magnetic fields of steady currents, motional emf and electromagnetic induction, Maxwell's equations, propagation and radiation of electromagnetic waves, electric and magnetic properties of matter, and conservation laws. Subject uses appropriate mathematics but emphasizes physical phenomena and principles.

Spring 2004 · Electromagnetic Theory

Topics

  • Maxwell’s Equations, Introduction
  • Conservation Laws: Energy, Poynting Theorem
  • Recitation 1
  • Conservation Laws: Momentum, Stress Tensor
  • Energy and Momentum of E&M wave
  • Recitation 2
  • Models of Electric Response
  • Recitation 3
  • Frequency-dependent Response Function, Kramers-Kronig Theorem
  • Waves in Dispersive Media
  • Recitation 4
  • Waves in Inhomogeneous Media, Fresnel Fomulas
  • Transmission Lines, Waveguides
  • Recitation 5
  • Resonant Cavities
  • Lagrangian and Hamiltonian for Particle Dynamics
  • Recitation 6
  • Conservation Laws, Noether Theorem
  • Lagrangian and Hamiltonian for E&M Fields
  • Recitation 7
  • Lorentz Transformations, Relativistic E&M I
  • Lorentz Transformations, Relativistic E&M II
  • Recitation 8
  • Retarded Potentials, Radiation
  • Larmor Formula, Dipole Radition
  • Recitation 9
  • Scattering of EM Waves
  • Relativistic Theory of Radiation
  • Radiation Reaction and Damping
  • Recitation 10
  • Frequency Spectrum of Radiation
  • Relativistic Larmor Formula
  • Recitation 11
  • Impulsive Radiation
  • Cerenkov Radiation
  • Recitation 12
  • Synchrotron Radiation

Readings

  • Schwinger = Schwinger, Julian, L. L. DeRaad Jr., K. A. Milton, W-Y Tsai. Classical Electrodynamics . Reading, Massachusetts: Perseus Book Group, 1998. ISBN: 9780738200569 Jackson = Jackson, J. D. Classical Electrodynamics . New York: Wiley, 1998. ISBN: 9780471309321.
    Listed reading
  • SES #: L3 · READINGS: Schwinger, Chaps. 1, 3 (or Jackson, Chap. 6)
    Reading assignment
  • SES #: L5 · READINGS: Schwinger, Chaps. 3, 4, 28 (or Jackson, Chaps. 5, 6)
    Reading assignment
  • SES #: L6 · READINGS: Schwinger, Chaps. 4, 11, 26 (or Jackson, Chaps. 4, 5)
    Reading assignment
  • SES #: L8 · READINGS: Schwinger, Chaps. 5, 41, 42 (or Jackson, Chap. 7)
    Reading assignment
  • SES #: L10 · READINGS: Schwinger, Chaps. 5, 7 (or Jackson, Chap. 7)
    Reading assignment
  • SES #: L12 · READINGS: Schwinger, Chap. 44 (or Jackson, Chaps. 2, 8)
    Reading assignment
  • SES #: L14 · READINGS: Schwinger, Sec. 6.1 and Chap. 8 (or Jackson, Chap. 12)
    Reading assignment
  • SES #: L17 · READINGS: Schwinger, Chaps. 9, 10 (a good review of special relativity can be found in Jackson, Chap. 11)
    Reading assignment
  • SES #: L18 · READINGS: Schwinger, Chaps. 9, 10
    Reading assignment
  • SES #: L20 · READINGS: Schwinger, Chaps. 31, 32
    Reading assignment
  • SES #: L21 · READINGS: Schwinger, Chaps. 31, 32, 33, 34
    Reading assignment
  • SES #: L23 · READINGS: Schwinger, Chaps. 35-38, 45
    Reading assignment
  • Schwinger, Julian, L. L. DeRaad Jr., K. A. Milton, W-Y Tsai. Classical Electrodynamics . Reading, Massachusetts: Perseus Book Group, 1998. ISBN: 9780738200569.
    Recommended
  • Jackson, J. D. Classical Electrodynamics. New York: Wiley, 1998. ISBN: 9780471309321.
    Recommended
  • Landau, L. D., and E. M. Lifshitz. Classical Theory of Fields . Oxford: Pergamon Press, 1975. ISBN: 9780080181769.
    Recommended

Prerequisites & course information

Prereq: 8.07 G (Spring) 4-0-8 units

Sources