Electromagnetic Field Theory II
(including Analytic and Numeric Methods of Physics)
Physics 7401, Spring 2015
Instructor: Yuri
Kovchegov
Office: M2042 Physics Research Bldg
Office Hours: stop by anytime
Course Meets: MWF 10:20 - 11:15 am, McPherson Lab 1040.
Grader: Cheng Li (office: PRB 2041)
Tutor: Daniel White, office hours: Thursdays, 3:30 - 5 pm, PRB 1006 (or a small conference room near it)
*** First Class Meets Monday, January 12, 2015 ***
*** No class Monday, January 19 -- MLK Day ***
*** There will be no class Wednesday, March 11 and Friday, April 10 - I will be out of town ***
Topics:
Autumn Semester
- Special Relativity, Relativistic Mechanics
- Relativistic Charges in Electromagnetic Fields
- Lagrangian for Electromagnetic Fields, Field Strength Tensor, Delta-functions
- Maxwell Equations, Conservation Laws: Energy-Momentum Tensor, Poynting Vector and Energy Density
- Electrostatics, Poisson and Laplace Equations, Green Functions
- Boundary-Value Problems in Electrostatics: Method of Images, Orthogonal Functions, Fourier Series and Integrals, problems with spherical geometry (Legendre Polynomials, Spherical Harmonics) and problems with cylindrical geometry (Bessel Functions)
Spring Semester
- Multipole Expansion, Electrostatics of Dielectrics
- Magnetostatics: Biot and Savart Law, Ampere's Law, Magnetic Moment, Boundary Value Problems in Magnetostatics
- Electromagnetic Waves and their Propagation, Kramers-Kronig relations, Elements of Complex Calculus
- Radiation by Localized Charges, Multipole Expansion
- Scattering and Diffraction, Optical Theorem
- Radiation by Moving Charges, Lienard-Wiechert Potentials, Synchrotron Radiation
- Radiation Damping
Textbooks (E&M):
Each of the following books adequately covers most of the material that we will study in class (though with some minor variations in the order of the topics). Choose whichever one works better for you. None is as comprehensive as Jackson though. Zangwill has some good modern examples. We will mainly follow Landau & Lifshitz order of topics for the first half of the Autumn semester.
Recommended Reading (E&M):
Here are several references which may come in handy as well:
Recommended Reading (Mathematical Methods):
For the Math Methods side of the class you may want to use the following resources:
- G.B. Arfken, H.J. Weber, F.E. Harris - Mathematical Methods for Physicists, Google Books - standard Math Methods textbook, very comprehensive
- S.M. Lea - Mathematics for Physicists, Google Books - comparatively brief book, gets straight to the point fast, which is often a plus
- K. Cahill - Physical Mathematics, Google Books - contains interesting connections to modern research topics, though imho could be somewhat challenging for 1st year grad students
- NIST Digital Library of Mathematical Functions - lots of useful formulas
- I.S. Gradshteyn, I.M. Ryzhik - Table of Integrals, Series, and Products, Google Books - comprehensive tables for all occasions
Lecture Notes:
These are the notes for the course, I plan to post them shortly after
each lecture.
- Separation of Variables and Special Functions (continued from Autumn semester)
- Multipole Expansion
- Electrostatics of Dielectrics
- Magnetostatics
- General Solution of Maxwell Equations (with Elements of Complex Analysis)
- Midterm Review
- Electromagnetic Waves
- Radiation
- Final Review
Lecture Notes from the last year's E&M class (Physics 7401):
These are the notes for the last-year one-semester E&M course.
- Electrostatics of Macroscopic Media, Dielectrics
- Magnetostatics
- Maxwell Equations, Their Solution, Conservation Laws
- Plane Electromagnetic Waves and Wave Propagation
- Midterm Review
- Radiation
- Special Relativity
- Relativistic Charges in Electromagnetic Fields
- Final Review
Homework Assignments:
Homeworks are due at 11:59 pm on the due date. You may give them to the grader or to me, put them in either the grader's or my mailboxes in PRB or slide them under my office door if the other options are not available (please do not slide them under the grader's office door). Homeworks submitted late are penalized -10 pts. The cutoff for late HW submissions is 5 pm on the day after the HW is due. (Solutions are password
protected, they are for the use of OSU students and faculty only, please write to me if you are
interested in accessing them.)
- HW 1 (due Friday, January 23) -- Solution 1
- HW 2 (due Friday, January 30 --> deadline changed to Monday, February 2) -- Solution 2
- HW 3 (due Monday, February 9) -- Solution 3
- HW 4 (due Monday, February 16) -- Solution 4
- HW 5 (due Monday, February 23 --> deadline changed to Wednesday, February 25) -- Solution 5
- HW 6 (due Wednesday, March 4) -- problem 4 is now due with HW 7 -- Solution 6
- HW 7 (due Friday, March 13 by classtime) -- Solution 7
- HW 8 (due Monday, March 30) -- Solution 8
- HW 9 (due Monday, April 6) --> dealine changed to Tuesday, April 7 -- Solution 9
- HW 10 (due Monday, April 13) -- Solution 10
- HW 11 (due Monday, April 20 --> deadline changed to Wednesday, April 22) -- Solution 11
- HW 12 (due Monday, April 27) -- Solution 12
Exams: Midterm - Friday, March 6, 10:20 am - 12:20 pm, McPherson Lab 1040. Final - Monday, May 4, 10:00am-noon, McPherson Lab 2019.
Grading: 30% HW, 30% Midterm, 40% Final
Yuri Kovchegov