Electromagnetic Field Theory I
(including Analytic and Numeric Methods of Physics)
Physics 7701, Autumn 2015
Instructor: Yuri
Kovchegov
Office: M2042 Physics Research Bldg
Office Hours: stop by anytime
Course Meets: TuTh 10:20 - 11:40 am, Smith Lab 1138.
Grader: Chuck Bryant (office: PRB M2039)
Tutor: Alex Davis, office hours: MW 3-4 pm, in PRB 2041
*** First Class Meets Tuesday, August 25, 2015 ***
*** There will be no classes Tuesday, September 8 and Thursday, September 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
- Radiation by Moving Charges, Lienard-Wiechert Potentials, Synchrotron Radiation*
- Radiation Damping*
- Scattering and Diffraction*, Optical Theorem*
* = if time allows
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 from last year, I plan to follow them fairly closely.
- Special Relativity
- Relativistic Particles in Electromagnetic Fields
- Elements of Complex Analysis
- Lagrangian for the Electromagnetic Field and Maxwell Equations
- Electrostatics
- Midterm Review
- Separation of Variables and Special Functions
- 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 my mailbox in PRB or slide them under my or the grader's office doors if the other options are not available. 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 Thursday, September 3) -- Solution 1
- HW 2 (due Tuesday, September 15) -- Solution 2
- HW 3 (due Tuesday, September 22) -- Solution 3
- HW 4 (due Tuesday, September 29 --> deadline changed to Thursday, October 1) -- Solution 4
- HW 5 (due Thursday, October 8 --> deadline changed to Tuesday, October 13) -- Solution 5
- HW 6 (due Tuesday, October 20 --> deadline changed to Wednesday, October 21) -- Solution 6
- HW 7 (due Tuesday, October 27) -- Solution 7
- Practice problems for the midterm: Jackson 11.2, 11.3, 11.7, 11.19, 11.20, 11.21, 11.22, 11.25, 12.1, 12.5, 12.6, 12.10; Zangwill, problems at the end of Chapter 22 (note that many repeat what we did in class and in the homeworks); Landau and Lifshitz, problems worked out in the text and at the ends of the Sections of Chapters 1-4.
- HW 8 (due Tuesday, November 10) -- Solution 8
- HW 9 (due Tuesday, November 17) -- Solution 9
- HW 10 (due Tuesday, November 24) -- Solution 10
- HW 11 (due Tuesday, December 8) -- Solution 11
- Practice problems for the final exam: Zangwill 3.5, 3.12, 3.17, 7.7, 7.9, 7.11, 8.3, 8.7, 8.8, 8.10, 8.14 (a), 8.19
Exams: Midterm - October 29, in class Final - Friday, December 11,
9:45am-11:45am, Smith Lab 1138.
Grading: 30% HW, 30% Midterm, 40% Final
Yuri Kovchegov