Instructor:
Dr. Warren F. Perger
EERC 819
wfp@mtu.edu

When and Where: MWF 9:05am-9:55am, EERC 226

Textbook (required): Advanced Engineering Electromagnetics, Constantine Balanis John Wiley and Sons, 1989.

Course description: A mathematically rigorous study of dynamic electromagnetic fields, beginning with Maxwell's equations. Topics include scalar and vector potentials, waves, and radiation. Credits: 3.0 Lec-Rec-Lab: (3-0-0) Semesters Offered: Fall Prerequisites: EE 3140

Syllabus:

Grading:

There will be no lectures week 2 (I will be out of the country, returning 12 September). The first assignment, Homework #1 (see below) should be review material and is due on 16 September. I will have email access so if you have questions on that assignment, contact me at wfp@mtu.edu. The 2 missed class periods will be made up with a lab that you can perform with a partner sometime during the term. I will provide the details of that lab assignment upon my return on the 14th of September.

Homework:
#1: 1.4, 1.10, 1.12, 1.23, 1.37, 2.8, due 9am, Sept. 16, 2009

#2: 3.3, 3.6, 3.7, students enrolled in EE5410 also do 3.13. Due 9am, 25 Sept., 2009

#3: 4.3, 4.7, 4.13, 4.22 students enrolled in EE5410 also do 4.29 and the following problem: Consider an observer stationary with respect to a DC current, and the current is moving at velocity, v, where v is less than the speed of light. The stationary observer certainly sees a non-zero magnetic field and non-zero magnetic field energy (in a given region of space). Now consider that the observer moves parallel to the wire carrying the current, at velocity, v, thereby freezing the apparent motion of the charges. Is the magnetic field in the moving observer's frame zero or non-zero? Likewise, for the magnetic field energy. If you agree that the magnetic field energy measured by the moving observer goes to zero, where did it go? Due 9am, Oct. 9, 2009

#4: 6.15, 6.17, 6.18, 6.20, 6.21, 6.31 due 9am Oct. 21, 2009.

#5: 7.10, 8.2, 8.23 (assume that 2h=1cm), 11.8, 11.22 due 16 November 2009, 9am

"Mystery problem" Consider problem 1.12. If you calculate the magnetic field outside of the dielectric, first by taking the curl of E to get H, then apply BC's on H to get H_outside or, second, apply BC's on E to get E_outside, then take the curl of that E-field to get H_outside, you will get two different results. Where is the problem? (worth 10 points, extra credit)

Lab assignment: As make-up for the class periods missed, characterize an antenna, for example, a simple dipole. Using the 8752C HP network analyzer: 1) choose elements and estimate the resonant frequency. Tune the dipole (with the slider) to that frequency (or near it). Record the VSWR at that frequency. 2) Make an azimuth sweep of the antenna pattern and record as a function of theta from 0 to 2*pi. Submit a short (1 or 2 page) report on your findings. How well did it match the theoretical curve, which is (cos[(pi/2) cos(theta)])/sin(theta)? On the same plot, plot the short-dipole, sin(theta), pattern for comparison. Note that the network analyzer probably gave the data in dB, so be sure to use the same scale for the theoretical plots. For an example of how to plot the theoretical curves in dB on a polar plot, see this Mathematica notebook: Mathematic notebook for polar plot of the short dipole on a dB scale Due: December 4.

Supplemental information:
Mathematic notebook for polar plot of the short dipole on a dB scale
Illustration of TE and TM modes in rectangular waveguide (reproduced from Ramo, Whinnery, Van Duzer)
Mathematica Notebook for dielectric slab waveguide
Mathematica Notebook for plotting output from NEC runs

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