Physics 942: Electromagnetic Theory II, Fall 2019

This web page:


  • EM waves
  • waveguides/cavities
  • radiation/antennas
  • scattering
  • special relativity/4-vector notation
  • conservation laws
  • Lagrangian/Hamiltonian for fields and particles
  • Radiation from moving charges


Enrollment in a CEPS graduate program or by permission.


Prof. Joachim (Jimmy) Raeder
Space Science Center
University of New Hampshire
8 College Road
Durham, NH 03824-3525
Office: 245G Morse Hall
Phone: 603-862-3412
Fax: 603-862-3584
Web: Physics Department EOS page Research page


MWF, 11:10 - 12:00 251 DeMeritt


Via e-mail and through this web page. Check often.

Office Hours:

T 11-12 or by appointment


  • J. D. Jackson, Classical Electrodynamics, Third Edition, Wiley, 1999 (primary)
  • A. Zangwill, Modern Electrodynamics, Cambridge, 2013 (sometimes too dense)
  • J. M. Charap, Covariant Electrodynamics (secondary text; modern, compact, everything in 4-vector notation, which is much cleaner than vector algebra)

Other texts:


  • D. J. Griffiths, Introduction to Electrodynamics,Prentice, 1999 (still worth looking into, but never goes as deep as Jackson)
  • F. Melia, Electrodynamics (secondary text; modern, very compact, good to read if you have already basic knowledge)


  • Landau & Lifshitz, Electrodynamics of Continuous Media (classic, Jackson-like, old notations)
  • M. Schwartz, Principles of Electrodynamics (moderately modern, easy to read but leaves out a few things)
  • A. Shadowitz, The Electromagnetic Field (mostly statics)
  • Panofsky and Phillips, Classical Electricity and Magnetism (Jackson-like, less clearly written)
  • G. Owen, Introduction to Electromagnetic Theory (old, incomplete, funny hand-drawn graphics)

'Relativity first'

  • C. A. Brau, Modern Problems in Classical Electrodynamics (good to read, fairly comprehensive)
  • A. O. Barut, Electrodynamics and Classical Theory of Fields and Particles (difficult to read)

For Students with Disabilities:

Students who require some accommodation by the instructor because of a disability must contact as early as possible the instructor and document the disability through the ACCESS Office. Any requests for special considerations relating to attendance, pedagogy, homework, etc., must be discussed with and approved by the instructor. In cooperation with the DRC, course materials can be provided in alternative formats (for example, large print, audio, diskette, or Braille). (ACCESS Office, 118 Memorial Union Building, Voice/TTY: 603-862-2607 Fax: 603-862-4043.)

Your academic success in this course is very important to me. If, during the semester, you find emotional or mental health issues are affecting that success, please contact the University’s ( Counseling Center (3rd floor, Smith Hall; 603 862-2090/TTY: 7-1-1), which provides counseling appointments and other mental health services.


  • Homework: 20%
  • midterm: 30%
  • Final: 50%


  • All assignments can be done in groups of at most 3 students. Group work is encouraged. Write down the names of your group partners at the top of the first sheet of your submission. If you work in a group, turn in only one copy
  • Due dates will be announced with the homework and posted on this site.
  • Homework must either be handed in during class or dropped off into the mailbox in front of my office (245G Morse).
  • The solutions to many textbook problems can now be found on the web, so it is very tempting to copy those solutions. However, if you can find them, I can find them too. Also beware that some of these solutions have errors or inaccuracies that make them easy to spot!


  • Each exam will have 5 hard problems, which count 50 points each.
  • 100 points are a perfect score.
  • One of the problems will be the same, or very close, to a homework problem. Those who do their homework diligently can cash in 50 points right there!
  • Extra points in the midterm carry over to the final, so if you get 150 or so in the midterm you can sleep easy.

Tentative schedule:

Mon, 2019-09-02 OFF/Labor Day

Wed, 2019-09-04 Plane waves (Zangwill 16.1-4; Jackson 7.1-2); Reflection/Refraction (Zangwill 16.1-3; Jackson 7.3)

Fri, 2019-09-06 Reflection/Refraction/Polarization(Zangwill 16.1-3; Jackson 7.4) Homework: F2019-hw01.pdf

Mon, 2019-09-09 OFF/travel

Wed, 2019-09-11 OFF/travel

Fri, 2019-09-13 OFF/travel

Mon, 2019-09-16 Dispersion, plasma frequency(Zangwill, 18.1-4; Jackson 7.5); Resonant absorption, ionosphere(Zangwill 18.6; Jackson 7.8)

Wed, 2019-09-18 Group velocity(Zangwill 16.5; Jackson 7.3); Magnetized plasma waves (Zangwill 18.5; Jackson 7.6)

Fri, 2019-09-20 Waveguides, wall effects (Zangwill 19.1-2; Jackson 8.1)

Mon, 2019-09-23 OFF

Wed, 2019-09-25 Cylindrical guides (Zangwill 19.3-4; Jackson 8.2); TE/TM modes (Zangwill 19.4; Jackson 8.3-4) Homework: F2019-hw02.pdf

Fri, 2019-09-27 Energy flow/losses in waveguides (Zangwill 19.5; Jackson 8.5)

Mon, 2019-09-30 OFF

Wed, 2019-10-02 Cavity oscillations, Q-factor (Zangwill 19.6; Jackson 8.7-8)

Fri, 2019-10-04 Radiation (Zangwill 20; Jackson 9.1); Electric dipole radiation (Zangwill 20.4; Jackson 9.2)

Mon, 2019-10-07 OFF

Wed, 2019-10-09 Magnetic dipole and electric quadrupole radiation (Zangwill 20.7; Jackson 9.3) Homework: F2019-hw03.pdf

Fri, 2019-10-11 Center dipole antenna (Zangwill 20.6; Jackson 9.4)

Mon, 2019-10-14 OFF

Wed, 2019-10-16 Thompson scattering (Zangwill 21.1-3; Jackson 14.8); Rayleigh Scattering (Zangwill 21.4; Jackson 10.1)

Fri, 2019-10-18 Special relativity, time dilation, space contraction (Zangwill 22.1-3; Jackson 11.1-2, Griffiths 12.1)

Mon, 2019-10-21 Lorentz transformation (Zangwill 22.4; Jackson 11.3, Griffiths 12.1); Velocity addition (Zangwill 22.4; Jackson 11.4)

Wed, 2019-10-23 OFF

Fri, 2019-10-25 midterm

Mon, 2019-10-28 Relativistic momentum and energy (Jackson 11.5)

Wed, 2019-10-30 Co/contra variant vectors (Zangwill 22.5; Jackson 11.6, Charap 2.1 - 2.10); Field covariance, Field transformation (Zangwill 22.6; Jackson 11.9-10)

Fri, 2019-11-01 Conservation laws (Zangwill 22.7; Jackson 12.10, Melia 5.5) Homework: F2019-hw04.pdf

Mon, 2019-11-04 OFF

Wed, 2019-11-06 Relativistic particle-field Lagrangian/Hamiltonian (Zangwill 24; Jackson 12.1, Melia 6.1-2)

Fri, 2019-11-08 Field Lagrangian, MW eq from Lagrangian (Zangwill 24.5; Jackson 12.1, Melia 6.3)

Mon, 2019-11-11 OFF

Wed, 2019-11-13 Lienard-Wiechert potentials (Zangwill 23; Jackson 14.1, Melia 7.1-2) Homework: F2019-hw05.pdf

Fri, 2019-11-15 Radiation from moving charge, synchrotron radiation (Zangwill 23.3; Jackson 14.2, Melia 7.3)

Mon, 2019-11-18 OFF

Wed, 2019-11-20 Synchrotron spectrum, Bremsstrahlung (Zangwill 23.4; Jackson 14.5, 15.2, Melia 7.4)

Fri, 2019-11-22 Cherenkov radiation (Zangwill 23.7; Jackson 13.4)

Mon, 2019-11-25 Final