Physics 511 Spring 2006

 

Electrodynamics

 

University of New Mexico

Department of Physics and Astronomy

 


 

On this Page...

General Information

Syllabus

Lecture Schedule

Problem Sets

Links

 


General Information

 

Lecture: Physics and Astronomy, Room 184, 11:00-12:15.

 

Instructor: Prof. Ivan Deutsch

Phys/Astro Room 24, Phone: 277-1502

email: ideutsch@unm.edu

Office Hours: Tuesday, Thrusday 1:00-2:00 (or by appointment)

 

Teaching Assistant: Sergio Boixo

email: boixo@unm.edu

 

Grading:

Problem Sets: 35%

There will be approximately 10 probelm sets due Thurs. @5:00 in grader's mailbox.

Midterm Exams (Take home): 40%

Midterm 1: Feb 28-March 2

Midterm 2: Apr. 18-April 20

Final Exam (In class): 25%

 

Recommended Texts:

Other Texts:

 


Tentative Syllabus

 

I. Review Electro- and Magneto- quasistatics (6 weeks)

A. Mathematical Review - Vector calculus and tensors

B. Electrostatics - Gauss' Law, Poisson's and Laplace's equation, multipoles

C. Magnetostatics - Ampère, Biot-Savart, vector potential, multipoles

D. Faraday's Law and Maxwell's Equations

E. Poynting's Theorem, Maxwell Stress-Tensor, Conservation Laws

F. Macroscopic Maxwell Equations

 

II. Electromagnetic Waves (4.5 weeks)

A. The wave equation

B. Plane wave propagation in vacuum, dielectrics, conductors

C. Dispersion and pulse propagation

D. Kramers-Kronig relations

 

III. Radiation by Nonrelativistic Charges (2 weeks)

A. The potential formulation of Maxwell's equations; Gauge transformations

B. Green's functions and retarded-time potentials

C. Multipole expansions

D. Electric dipole, quadrapole, and magnetic dipole radiation

E. Scattering (scalar theory)

 

IV Special Relativity (2 weeks)

A. Review: Lorentz transformations, space-time diagrams, relativistic kinematics

B. Transformation of the fields - Magnetism as a relativistic phenomenon

C. Tensors in Minkowski space

D. Covariant formulation of Maxwell's equations

 

V Radiation by Relativistic Charges (0.5 weeks)

A. Liénard-Wiechert Potentials; Field of a uniformly moving point charge

B. Radiation from a relativistic, accelerating point charge

C. Synchrotron radiation and Bremsstrahlung


Tentative Schedule of Lectures


Jan. 17

Overview: Maxwell Eq., Units, Math Review

(Online history)

Download 1

 Jan. 19

Vectors/Tensors, Vector fields

Download 2

Tensors Supp.

 Jan. 24

Electrostatics: Coulomb's Law, Delta functions, Field equations, Gauss' Law 

Download 3-4

 Jan. 26

Electrostatic potential, Energy in the field

 Jan. 31

Poisson's Eq., Laplace's Eq., Green's functions

Download 4b

 Feb. 2

 Mutipole moments

 Feb. 7
General Cartesian and spherical expansion; Interaction energy for multipoles

 Feb. 9

Intro to Magnetostatics: Field Eqns., Ampere's Law

Download 7

 Feb. 14

Vector Potential, Magnetic Multipole expansion

Download 8

 Feb. 16

Ohm's Law, EMF

Download 9

 Feb. 21

 Faraday's Law Energy in Field

catch up

 Feb. 23

Maxwell's Equations 

Quasi-Statics, Poynting's Theorem, Conservation Laws

Download 10

 Feb. 28
EXAM 1

Mar. 2

 More conservation laws - Maxwell Stress-Tensor

Momentum and Angular Momentum of Field

Download 11

 Mar. 7

Wave equation, Plane waves I

Download 12

 Mar. 9

Plane waves II

Download 13

 Mar.13-17
 SPRING BREAK
 

 Mar. 21

Macroscopic Maxwell Equations

Dielectrics, magnetic materials

 Mar. 23

  Poynting's Theorem in media

Wave propagation in linear dielectrics

Download 15

 Mar. 28

Wave propagation in lossy dielectrics and conductors

Download 16

 Mar. 30

Lorentz oscillator model,  Dispersion

catch up

Apr. 4

Kramers Kronig Relations

Download 16b

 April 11

Green's Function for Wave Equation

 Apr. 13

Potential Formulation, Gauge Transformations

catch up

 Apr. 18

 Multipole Radiation (I)

Download 18

Supplement

 Apr. 20

 Multipole Radiation (II)

Download 19

 Apr. 25

Scattering Radiation (I)

Download 20

 Apr. 27

Scattering Radiation (II)

Download 21

May 2

 Magnetism and relativity; Transformation of fields

Download 24

May 4

Covariant E&M

Download 25

 

 


Problem Sets

Problem Set #1

Due Jan. 25

Problem Set #6

Due Mar. 31

 Problem Set #2

Due Feb. 1

 Problem Set #7

Due April 7

Problem Set #3

Due Feb. 9

 Problem Set #8

Due April 14

Problem Set #4

Due Feb. 16

 Problem Set #9

Due April 28

 Problem Set #5

Due Mar. 9

 Problem Set #10

Due May 5

 


 

Exam 2

Solutions