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Electromagnetics Theory I
EECS 530 (Applied Physics 530)
Fall 2011

Prerequisite: EECS 330 or Physics 438

3 Credits

Instructor:

Professor Kamal Sarabandi
Office: 3228B EECS
Phone: 936-1575
Office Hours:

Tuesday 3:00 pm - 4:00 pm

Wednesday 11:00 am - 12:00 pm
Email:
saraband@eecs.umich.edu

Lecture:    Tuesday and Thursday 1:00 pm - 2:30 pm, Room 1003 EECS

Course E-mail Instructions:   

You will receive course instructions and important messages through our course E-mail group. After the second lecture, the GSI and the instructor will assume that you can be reached through this group address. To subscribe, E-mail to: eecs530-request@eecs.umich.edu with the word 'subscribe' in the subject line. In order to email to the list use: eecs530@eecs.umich.edu.

 

Text:

R.F. Harrington, Time-Harmonic Electromagnetic Fields, McGraw Hill Book Company, 1961.

The textbook is recommended but not required.  The instructor will provide handouts throughout the semester.

GSI:

Hamid Nejati

hnejati@umich.edu

Office:  2420 EECS

Office Hours:

Mondays and Wednesday 3:00 pm - 5:00 pm

 

Course Website: http://www.eecs.umich.edu/courses/eecs530

Course Secretary: 

Karla Johnson
Office: 3228B EECS
Phone: 764-0500
Office Hours: M-F, 8:30-5:00
Email: karladj@eecs.umich.edu

 

References:

J.A. Stratton, Electromagnetic Theory,  McGraw Hill Book Company, 1941.

J.A. Kong, Electromagnetic Wave Theory, EMW Publishing, 2000

Homeworks:

Homework problems will be assigned every week (6-8 problems). You are strongly encouraged to do the homework problems to get familiar with the details of not so familiar techniques.  

 

Due dates for Homeworks are Thursdays at the beginning of class time a week after they are assigned.

Honor code applies to all homework assignments.

Solutions will be posted on class website a week after.

 
Grading:

Your grade will be based upon:  

30% Hwks + 20% Midterm #1 + 20% Midterm #2 + 30% Final
 

Exams:

Two midterms and a final

Important Dates:

Class begins Tuesday, Sept. 6

Fall Study Break, Tuesday, Oct. 18

First midterm Thursday, Oct. 20

Second midterm Tuesday Nov. 22

No class Nov. 24 (Thanksgiving recess)

Last day of class, Thursday, Dec. 13

Final Wednesday, Dec. 19, 4:00-6:00 pm

 

Course Description:

Maxwell's equations, constitutive relations and boundary conditions. Potentials and the representation of electromagnetic fields. Uniqueness, duality, equivalence, reciprocity and Babinet's theorems. Plane, cylindrical, and spherical waves, Dyadic Green’s function. Waveguides and elementary antennas.

 

 

Course Outline:

Topic 1- Maxwell's Equations, Overview

  • Differential form of Maxwell’s equations
  • Integral form of Maxwell’s equations and time-varying surfaces
  • Constitutive Relations: Macroscopic Properties of Matter
  • Kramer-Kronig’s Relation
  • Conducting Media and continuity Relations
  • Boundary Conditions

Topic 2 –Generalized Coordinate System (GCS)

  • Differential length, surface, and volume in GCS
  • Gradient of scalar, divergence, and curl of vector functions in GCS
  • Higher order operators (Laplacian, Curl of a Curl) in GCS

Topic 3 – Concepts and Theorems

  • Equivalent magnetic charge and current
  • Duality Relations
  • Modified Boundary Conditions
  • Image Theory
  • Polarization Currents
  • Flow of Energy
  • Uniqueness Theorem
  • Equivalence Principle for Electromagnetic Sources

Topic 4 -Radiation and Elementary Antennas

  • The Electromagnetic Potentials
    • Hertz vector potential
    • Potentials for magnetic sources
  • Electric and Magnetic Fields in terms of Potentials
  • Retarded Potential (time domain analysis)
  • Radiated filed from infinitesimal currents element (time domain analysis)
  • Radiated filed from distributed current

Topic 5- Time_Harmonic Electromagnetic Waves

  • Maxwell’s equations
  • Vector and Scalar Potentials
  • Poynting vector
  • Polarization current
  • Formal Solution of Scalar Helmholtz Equation
  • Green’s Theorem
  • Radiation Condition
  • Solution of Helmholtz Equation For Complex Media
  • Solution of Vector Helmholtz Equation
  • Reciprocity Theorem

Topic 6 – Waves Functions and Modal Expansion

  • Rectangular structures (plane waves)

    • Parallel-plate, dielectric slab, and rectangular waveguides

    • Rectangular cavity resonator

  • Cylindrical structures (cylindrical waves)

    • Cylindrical wave guides

    • Cylindrical cavity resonators

  • Spherical cavities (spherical waves)

 

 
Homework & Solution Sets:

Homework #1:

Assigned Thursday Sept. 8, 2011,

Due Thursday, Sept. 15, 2011

     
   
 
Exams & Quizzes
Lecture Notes Lecture 1:  The Field Equations
Lecture 2: Integral Form of Maxwell's Equation and Time Varying Surfaces
Lecture 3: Constitutive Relations: Macroscopic Properties of Matter
     
     
     
     
     
     
     
     
Old Exams