Electromagnetic Field Theory II
(including Analytic and Numeric Methods of Physics)
Physics 7401, Spring 2016
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: Shaun Hampton (office: PRB M2025)
Tutor: Douglas Wertepny, office hours: Wed, Fri, 3pm-4pm, PRB M2015
*** First Class Meets Tuesday, January 12, 2016 ***
*** There will be no class Tuesday, February 9 - I will be out of town ***
Topics:
Autumn Semester
- Special Relativity, Relativistic Mechanics
- Relativistic Charges in Electromagnetic Fields
- Elements of Complex Calculus
- 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
Spring Semester
- Boundary-Value Problems in Electrostatics (continued): problems with spherical geometry (Legendre Polynomials, Spherical Harmonics) and problems with cylindrical geometry (Bessel Functions)
- 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
- Radiation by Localized Charges, Multipole Expansion
- Scattering and Diffraction, Optical Theorem*
- Radiation by Moving Charges, Lienard-Wiechert Potentials, Synchrotron Radiation*
- Radiation Damping*
* = 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, 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
- Midterm Review
- Electromagnetic Waves
- Radiation
- 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, slide them under my or the grader's office doors, or put them in either the grader's or my mailboxes in PRB. 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 + the Mathematica file (due Thursday, January 21) -- Solution 1
- HW 2 (due Thursday, January 28) -- Solution 2
- HW 3 (due Thursday, February 4 --> deadline changed to Tuesday, February 9) -- Solution 3
- HW 4 (due Tuesday, February 16 --> deadline changed to Thursday, February 18) -- Solution 4
- HW 5 (due Thursday, February 25 --> deadline changed to Monday, February 29) -- Solution 5
- HW 6 (due Thursday, March 3) -- Solution 6
- Sample problems for the midterm: Jackson 3.3, 3.7, 3.8, 3.11, 3.12, 3.14, 3.16, 3.18, 3.23, 3.24, 4.2, 4.9, 4.10, 4.13; Zangwill 3.12, 3.17, 6.1,6.2, 6.3, 6.4, 6.7, 6.21, 6.23, 7.3, 7.11, 8.20
- HW 7 (due Thursday, March 24) -- Solution 7
- HW 8 (due Thursday, March 31) -- Solution 8
- HW 9 (due Thursday, April 7) -- Solution 9
- HW 10 (due Thursday, April 14) -- Solution 10
- HW 11 (due Thursday, April 21) -- Solution 11
- Sample problems for the final: Jackson 5.1, 5.11, 5.15, 5.18, 7.3, 7.4, 7.6, 7.23, 7.24, 9.3; Zangwill 10.7, 10.20, 10.22, 11.2, 11.3, 11.4, 11.5, 11.6, 11.15, 13.13, 13.17, 13.18, 16.1-16.5, 17.6, 17.8, 17.10, 17.12, 18.17, 18.20, 20.19, 20.20, 20.25, 20.27; Ohanian, Chapter 14, problems 12, 15, 18, 20, 23
Exams: Midterm - March 8, 2016, in class (10:20 am - 12:20 pm). Final - Tuesday, May 3, 9:30-11:30am, Smith 1138.
Grading: 30% HW, 30% Midterm, 40% Final
Yuri Kovchegov