University of California
College of Engineering
Department of Electrical Engineering and Computer Sciences
EECS 117 4 units
Fall 2007
T.K. Gustafson
Electromagnetic Fields and Waves
Information Sheet
Instructor:
TA’s:
Prerequisites:
Text:
References:
T.K Gustafson, 459 Cory, 2-3139, tkg@EECS Office hours: Tu Th 10:00 –11:30
T. B. A.
EE 40, Mathematics 53, 54, and knowledge of phasor analysis helpful. If you are in doubt,
please see instructor.
Fawwaz T. Ulaby
Fundamentals of Applied Electromagnetics, Fifth Edition, Pearson/Prentice Hall, 2007
(ISBN: 0132371383). Referred to as Text in detailed course outline.
1) S. Ramo, J.R. Whinnery, and T. Van Duzer, Fields and Waves in Communication
Electronics, third edition, J. Wiley and Sons, 2000 (ISBN: 0471585513). Earlier editions
are fine, however, translation of page numbers, sections, and problem numbers need to be
considered). Referred to as RWVD in detailed course outline.
2) John D. Kraus and Daniel A. Fleisch, Electromagnetics With Applications, Fifth Edition,
McGrawHill, 1999 (ISBN: 0072356634). (Some of the problems will be used, in
particular for wireless). Referred to as KF in detailed course outline.
3) EECS 117 Laboratory Manual, Available online at the class website
Additional:
Problems:
There are a number of excellent references with worked problems. Among these and very
basic is Joseph A. Edminister, Electromagnetics, Second Edition, Schaum’s Outline Series,
McGraw Hill (ISBN: 0070212341)
Lecture Time:
MWF 10-11AM in 538 Davis Hall
Disc. Sections: Monday 1–2, 237 Cory Hall Tuesday 3– 4 237 Cory Hall
Grading
Guideline:
Homework 15%, Midterm 30%, Final 40%, Minilabs 15%
Final Exam: TBA
Homework:
A homework set will be assigned approximately every week and onehalf. Solution
s will be given out in class on the day the homework is due.
Late homework is not acceptable.
Course: Review of static electric and magnetic fields; Maxwell’s equations; transmission lines ;
propagation and reflection of plane waves; introduction to guided waves, microwave
(and optical) networks, and radiation and antennas and basic wireless principles.
Electromagnetic Fields and Waves: Course Outline
Topics with Chapter and Section References
HOW TO READ THE INFO IN THE PARENTESIS: The abbreviations:
Text or U (for Ulaby), RWVD (for
Ramo, Whinnery, Van Duzer), and KF (for Kraus, Fleisch) , refer to
the course text and references listed on the information sheet. Notes refer to class notes that the inst
ructor will provide. Please read or skim through material before you come to class.
1. Basic Electromagnetic Relationships (Chapter 1 of Ulaby ) ( Appendix 4 of RWVD)
1. Introduction to wave motion, time delay, phase speed, basic forms of the wave equation,
the electromagnetic spectrum (1-3, 1-4 of U)
2. Complex Phasor notation (1-5, 1-6 of U) (Appendix 4 of RWVD).
3. General examples of wave motion (i.e.) Transverse waves on a string. (Notes)
4. The Fields of Electromagnetism E, D, H, B and the constitutive relations. (1-2 of U)
2. Transmission Lines (Ch. 2 of U, Ch. 5 of RWVD)
1. Circuit models of transmission lines and the coaxial line (2-1, 2-2 , and 2-3 of U Take
G’ and R’ to be zero in section 2-3.). (5.2 ad 5.3 of RWVD)
2. The coaxial transmission line and its relationship to Ampere’s and Gauss’s "Laws". Basic
discussion of L and C (Eqns 2.7 and 2.9 U). (page 26 and page 83 of RWVD )
3. Transmission and reflection coefficients, pulses and transients (skip to 2.11 of U).
4. The capacitively loaded line and implications for high speed digital systems .(Example
5.5e of RWVD)
5. Sinusoidal waves, standing wave ratio, expressions for impedance, transmission and refle
ction coefficient and power flow ( 2-4 to 2-8 of U) (5.7 and 5.8 of RWVD).
6. Smith chart relating complex reflection coefficient and impedance (2.9 of U,
5.9 of RWVD).
7. Scattering parameters and the Smith chart (Notes and page 539-540 of RWVD).
8. Impedance matching (Single and double stub tuning, quarter wave tuning) (2-10 of U) (5.10 of RWVD)
9. Overview (only) of lossy transmission lines (2-3 of U) (5.11 of RWVD).
10. The basic concept of resonance on transmission lines (5.13, 5.14 of RWVD).
11. Feedback Picture of transmissions lines of finite length (notes).
12. Gaussian pulse propagation group and energy velocity (5.15 of RWVD).
Midterm ( at approximately this time [ latter half of Oct. ] so will probably include some of
the following section )
3. Introduction to Maxwell’s Equations (Ch. 3, 4, 5 and 6
of U, also see Schaum’s for excellent review and worked problems) (Ch 1,2 ,3 of RWVD)
1. Gradient, perpendicularity and wave phase-fronts. (3-4 of U)(1.10 of RWVD)
2. Review of vector analysis and coordinate systems (3-1, 3-2, 3-3 of U) (Appendix 2 of RWV
D)
3. Surface and volume integrals, Gauss’s law ∫D ⋅ dS = Q and Coulomb’s law ( 4-2 to 4-4 )
(1.2 to 1.6 and Eq 1 page 128 of RWVD)
4. Gauss’s law for magnetism (5-4.1 of U)(Eq 2 page 128 of RWVD)
5. Line integrals, currents and Ampere’s law (4-2.2, 4-6, 4-7, 4-8, and Equation 5.47 in sectio
n 5-4.2 of U)( 2.4 and Eq 4 page 128 of RWVD)
6. Divergence of a vector (Equation 3.95 of U) and Gauss’s Law in differential form (3.5 of U
), the divergence theorem (1-11 of RWVD)
7. Curl ( ∇ ×) of a vector field and Ampere’s law in differential form (3-6 of U), Stoke’s Theorem (2.6 to 2.8 of RWVD)
8. The Laplacian operator ∇ 2 , (3-7 of Text) (11.2,11.3 of RWVD).
9. Maxwell’s Equations (4-1, and Table 6-1 of U)( 3.6 to 3.8 of RWVD).
10. Displacement current, continuity and Maxwell’s equations (6-7 of U). Charges, conduction,
convection and diffusion currents (4-1, 4-2, 4-6, 4-7, 6-9, and 6-10 of U)(3.4,3.5 of RWV
D) .
11. Example solutions for electro and magneto-statics , boundary conditions (4-3, 4-4, 4-5, 412, 5-2, 5-3, 5-4 of U) (1.14,to 1.18, 2.2 to 2.4 and 2.14 of RWVD).
12. Discussion of magnetic and electric potentials (4-5, 5-5 of U; 1.10, 2.9 to 2.12 of RWVD).
13. Faraday’s Law (6-1 6-2 6-3 of U)(3.1 to 3.5 of RWVD)
4 Intermediate Aspects of Maxwell’s Equations (Ch. 4, 5, 6, 7 of U),
1. Scalar and vector potentials A and φ (4-5, 5-5 of U).
2 Dynamics , Faraday’s Law (6-1 to 6-6 of U), (Ch 3 of RWVD)
2. Generalizations of the potentials to include retardation (6-11, 6-11.1 of U) (3.19 of RWVD)
3. Boundary conditions (4-9, 5-7, 6-8 especially Table 6-2 of U)(3.14, 3.15 of RWVD)
4. Capacitance (4-10 of U), and inductance (5.-8 of U)( 4.1 to 4.3 of RWVD)
5. Power flow, and stored energy (4-11, 5-9 of U, pages 139-145 RWVD)
6. Maxwell’s equations for the sinusoidal steady state (phasors) (7-1 to 7-6 of U)(3.8 of RWVD)
7. Polarization (7-3 of U )( 6.3 of RWVD)
8. The steady-state Poynting vector and theorem (7-6 of U)
9. Propagation in lossy media, skin depth (7-4, 7-5 of U) (6.4 of RWVD)
10. Forces, torque and work (4-3, 5-1, 5-3, 6-4 to 6-6 of U) (page 126 of RWVD)
5. Reflection and Transmission at Interfaces ( 6-7 to end of Ch 6 of RWVD) (Ch 8 of U)
1. EM waves at boundaries and the transmission line analog (8-1 of U) (6.8, 6.11 of RWVD)
2. Snell’s "laws" (8-2 of U) and the critical angle (8-3 of U )(6.11 to 6.13 of RWVD)
3. Oblique incidence (8-4, 8-5 of U), Brewster’s angle (6.13 of RWVD).
4. TEM modes and the coaxial cable (page 187 and 250 of RWVD, Notes). The two wire results of Table 2 of U.
5. The ray model of guided waves: TE and TM waves, cutoff and phase velocity (8.6 of U; 8
.4 of RWVD and 8-3 of KF, Notes)
Topics selected from the following will be discussed
1. General Formulation of waveguide fields (8.2 of RWVD)
2. Hollow metallic wave guides with guiding in one dimension (8.3 of KF, 8.3 of RWVD)
3. Planar transmission lines (8.6 of RWVD)
4. Two dimensional rectangular guides, the TE10 mode (8-7 to 8-10 of U; 8.7 of RWVD, 8-4 of KF)
5. General properties, power transfer (8.13,8.15 of RWVD)
6. Dielectric guides (9.2 of RWVD, 8.10 of KF), conical guides (9.6 of RWVD) and periodic
structures (9.10 of RWVD)
7. Slab wave guides, optical fibers, loss and dispersion (14.714.10 of RWVD)
8. Resonators (8-11 of U ; 10.1 to 10.4 of RWVD (8.12 for more general concepts) )
6. Antennas, Radiation, Diffraction and Wireless Systems ( Chs.
9,10 of U , Ch 12 of RWVD, Ch 5 of KF)
1. Basic antenna parameters for single and arrays of antennas; directivity and gain (9-2 of
U ) (12.6 and pages 600-601 of RWVD), effective area (52 and page 259 in particular of KF),
2. Friis formula and its relation to uncertainty (9-5 and 9-6 of U ) (pages 665666 of RWVD), (5-10, 5-11 of KF, wireless ( examples 5-27, 5-28 of KF))
3. Signal to Noise and the Friis equation ( Example 9-5 and 10-3 of U)
4. Basic Radar equation as extension to Friis equation (10-5 to 10-8 of U)
5. Review of potentials (6-11, 6-12 of U, 3.19 to 3.21 of RWVD) and the Hertzian dipole (9-1 of U, 12.3 of RWVD)
6. Long wire antenna (9-3, 9-4 of U) (12.5 of RWVD)
7. Radiation resistance (9-2.5 of U) (12.7 of RWVD)
8. Arrays (9-9 to 9-11 of U, 12.18 to 12.20 of RWVD, 5-.3 of KF)
9. Far field, near field and the Fourier transform (9-7, 9-8 of U, 12.12 and 12.13 of RWVD,
5-14 of KF)
1.
2.
3.
4.
Possible other topics to be selected from the following
Circuit approach to arrays (5-7 of KF)
YagiUda arrays (12.22 of RWVD) (5-9 of KF)
Integrated antennas (12.24 of RWVD)
Imaging, geometrical optics, Gaussian beams (8-6, 8-7 of U)
7. Electromagnetic Properties of Material (as time permits)
1. Linear isotropic media (13.1,13.5 of RWVD)
2. Anisotropic media (13.8,13.17 of RWVD)
3. Introduction to electrooptics
Review