Electromagnetic Waves and Transmission

M/W/F 12-12.50am ECEN 265

Spring 2017

Instructor: Prof. Kelvin Wagner

kelvin@colorado.edu, x24661, ECEN 232 inside OCS

TA support Bohan Zhang and Charles Rackson

General Course Information

This course deals with rapidly varying electromagnetic fields and is continuation of ECEN3400 Electromagnetic Fields and Waves. Topics include Maxwell’s and wave equations, Poynting theorem, skin effect; transmission line theory and analysis; plane wave propagation, reflection and refraction; waveguides and resonators; antennas; with examples from RF, mm Wave, THz, and Optics. This class is essential for students' fundamental understanding of wireless technologies, radar, high speed electronics, and provides an introduction to Optics and Lasers.


B. Notaros: Electromagnetics, Prentice Hall, 1st edition, 2011.  

Other Readings

Grades and Exams

Grades will be based on homework and projects (35%), midterms and quizes (30%), and a final (35%). The final will be held Wed May 10, 4:30-7:00PM.


  1. hw1-ch8.pdf Due Monday Jan 30
  2. hw2-ch9.pdf Due Monday Feb 13
  3. hw3-ch10.pdf Due Monday Feb 27


  1. Quiz1-SOLN.pdf Monday February 6. Complex monochromatic field representation and Helmholtz Eqn
  2. Quiz2-SOLN.pdf Monday February 22. Complex monochromatic form of Maxwell's eqn and derive wave Eqn

Review Sessions and Office Hours

  1. Friday 2:00-3:00, Prof. Wagner, ECEE232 inside OCS
  2. Fridays 3:00-4:00 Bohan Zhang, Charles Rackson, OCS 1B45
  3. Friday March 3 4:00-5:30, ECEE1B32, Midterm review


  1. Falstad scalar wavebox java simulator
  2. EM waves illustration applets
  3. Must enable java
  4. SimSmith awesome Smith Chart tool

Lecture Schedule

Mon Wed Fri
Jan 18-20 8.1 Charge, Currents L1.pdf 8.2,3Integral Maxwell's Eqn L2.pdf
Jan 23-27 8.6-8 Maxwells Eqn, Time Harmonic L3.pdf EM Extra notes 8.4 Boundary Condition, Div, Curl, Grad L4.pdf 8.9-10 Laplacian, Vector Potential L5.pdf
Jan 30-Feb 3 8.11-12 Spherical Waves, Poynting Vector L6.pdf 9.1-3 Wave Eqn, Plane Waves L7.pdf 9.4-5 Harmonic Plane Waves L8.pdf
Feb 6-10 9.6-7 Lossy Media L9.pdf 9.9-11 Dielectrics, Conductors L10.pdf 9.14 Polarization L11.pdf Polarization Extra Notes
Feb 13-17 Poincare Sphere L12.pdf 9.12 Plasma, 9.13 Group/Phase Velocity, L13.pdf Ch 10.1, Reflection&Transmission coefficients L14.pdf
Feb 20-24 10.2 Dielectric Boundary L15.pdf 10.7 Oblique incidence 10.8 TIR, Brewster angle
Feb 27-Mar 3 10.9 Multilayer media 10.6 Rectangular waveguides 11.1,2 Field analysis of transmission lines
Mar 6-10 MIDTERM 11.4 2-conductor TL 11.5,6 TL attenuation
Mar 13-17 12.1-5 Circuit analysis of TL 12.6-8 TL Impedance 12.9,10 Resonators
Mar 20-24 12.11 Smith chart 12.12,13 12.15,16 Steps, Pulses
Apr 3-7 13.1-5 Waveguides and Modes 13.6-8 Cutoff, power flow 13.10-11 Dispersion, Couplers
Apr 10-14 13.12-14 Resonators Dielectric slab waveguides Optical Fibers
Apr 17-21 14 14.1,3 Antennas, Dipole, far-field 14.4 Antenna impedance 14.5 Radiation patterns
Apr 24-28 14.6 Directivity and Gain 14.12 Receiving antennas 14.13,15 Arrays
May 1-5 Gaussian Beams Optics and Lasers

Clasroom Behavior

  1. Cell phones and pagers must be turned off before entering the classroom.
  2. Questions are encouraged and required.

Other Polices and Regulations