ECE 222A – Fall 2015

Antennas and their System Applications


Latest Announcements

11-28: Prof. Rebeiz will have final exam OH on Wed Dec. 9 at 10-12pm in his office.
11-27: Homework #6 is posted and we will have our last session on Friday at 1-2pm in room 4309-Jacobs Hall
11-22: For the Monday 6-720pm lecture, please print Lecture 14 and all the small-antenna related material (small antennas, miniature PIFAs, multiband antennas, human absorption of radiation)
11:20: Monday make-up lecture at 6-720pm is in 4309-Jacobs Hall
11-18: Reflector antenna lectures posted. Please bring to class.
11-18: Homework 5 - Part 2 is now posted
11-17: You are not responsible for the Fourier Transform pages in lecture 13. Just pages 1 and 2 (apertures), and then the horn antenna pages.
11-15: Homework 5 is posted. It is below.
11-12: Prof. Rebeiz will be in his office at 2pm today.
11-12: Class tomorrow at 1-2pm in 4309 Jacobs Hall (same as last Friday)
11-10: Make up sessions on Friday Nov. 13 at 1-2pm, Monday Nov. 23 at 230-350pm and Friday Dec. 4 at 1-2pm. Rooms to be announced. No lectures on December 1 and December 3. We will return the midterms to you by November 20.
11-06: Make-up class today is at 1-150pm in room 4309/Jacobs Hall
11-05: Prof. Rebeiz is quite sick today and will not hold office hours., Prof. Rebeiz was sick on Friday-Sunday October 29-November 1st, and the corrected midterms will be given to you on Monday/Tuesday Nov. 9/10.
11-02: Homework 4 is posted
10-31: Make up lecture: Friday November 6 at 1:00-1:50pm in 4309 – Jacobs Hall
10-30: No lecture on Tuesday Nov. 3. Make up lecture on Friday Nov. 6 at 1-2pm. Location to be determined.
10-26: Hwk 3 solution posted
10-22: Additional OH for ECE222A Midterm: Monday at 6-7pm
10-22: Midterm is on Tuesday October 27 at 930-1050am in class. Arrive early.
             Closed book, closed notes. You are allowed one sheet of paper (both sides) and you can write anything on it.
             Please bring 1-2 blue books. Only blue and black ink allowed on exam. Nothing in pencil will be graded.
             Scientific calculators (not plotting or programmable) allowed. Ex: TI 30, 34, 35, 36x, or any SAT-certified calculator.
             No cell phones. No internet connected devices.
10-21: Homework 2 solutions are posted, and Homework 3 is posted.
10-19: The best preparation for the midterm is to solve earlier midterms and final exams (related questions)
10-19: Hwk 1 solutions with some minor edits/corrections is now posted on the web
10-11: Midterm for ECE222A has changed to Tuesday October 27. This would be a week before November 3 (midterm for ECE166). Also, I am on travel on Wed. October 28 and would like to have extra OH for you on Monday October 26.
10-9:   Homework 2 is posted, as well as the Homework 1 solutions
10-7:   For Thursday October 8, Prof. Rebeiz will hold office hours from 130 to 230pm (not 3pm) due to a conflict with a prior-set meeting.
9-30:   Midterm is on Thursday October 29, 2015 at 9:30 am - 10:50 am. Rooms to be announced.
9-30:   Homework 1 is posted. It is below (scroll down)
9-24:   Welcome to ECE 222A - Fall 2015.

Course Information


Instructor:    Prof. Gabriel M. Rebeiz

                   Jacobs Hall (formerly EBU-1); Room 5608

                   Tel: 858-534-8001



Office Hours:    Tuesdays and Thursdays at 1:30-3:00 pm and by appointment,

                       Room 5608 Jacobs Hall




TA Offices Hours: TBD


Lectures:    Tuesdays and Thursdays, 9:30 am - 10:50 am, Warren Lecture Hall  2209


Lecture Notes:    Download on this website.  Lecture notes are required.


Textbook:    Not required.


Other books:    Antenna Theory: Analysis and Design, Balanis, Wiley, 2005

                      Antenna Theory and Design, Stutzman and Thiele, Wiley, 1998 (3rd edition, Wiley, 2013)

                      Antenna Theory and Design, Elliott, Wiley-IEEE, 2003

                      Antenna and Radiowave Propagation, Collin, McGraw Hill, 1985

                      Antennas for All Applications, Kraus and Marhefka, McGraw Hill, 2001


Software:    It is expected that you know Matlab, Mathematica, or Maple, etc.


Homework:    About 6-7 homeworks will be assigned.

                    Homework is due at the beginning of the lecture (not at the end).

                    Homework solutions will be posted about 12 hours after the due date.

                    Late homeworks will not be accepted except by permission from Prof. Rebeiz.


Grading:    15%    Homework

                35%    Mid-term        Thursday 10/29/2015 9:30 am - 10:50 am, Location TBD
                50%    Final Exam     Thursday 12/10/2015  8:00 am - 11:00 am, Location TBD

                All exams are open notes and open books.  Bring your class notes and any cheat-sheets that you wish to write, and any book that you wish.

                However, I do not recommend that you bring books with you.  You will not use them.



Decent math background in differential equations and complex numbers.

Undergraduate EM (Physics and ECE 107)

Knowledge of Maxwell Equations and Basic Waves.


Review material:

Review Maxwell's Equations and a Wave Chapter in any available undergraduate textbook.


Thoughts for the homework:

The homework will be graded very generally.  That is, we will assign 10, 8, 6, 4, 2, and 0 as grades with the following guidelines: 10 (Well done to mostly done), 6 (about half of it is done), and 0 (not much is done or homework is not given).  Late homework are not allowed unless by permission from instructor by email.



Course Outline

222A Antennas and Their System Applications

(Prerequisites: None, except a standard EM sequence at the undergraduate level. Communications people should be encouraged to take this course.)


- Introduction to Antennas: Gain, Directivity, Solid-angle, Impedance, Polarization, etc.

- Friis Transmission and Radar Equations: Some System Examples

- Review of Maxwell’s Equations, Reciprocity (important to antennas)

- Plane waves, Polarization, Wave Impedance, Poynting Vector

- Radiation and Free-Space Green’s function, Vector and Scalar Potentials

- Dipoles and Loops, Impedance of dipoles and loops

- Ground planes and Image Theory (introduce a bit arrays using image theory)

- Traveling-Wave Antennas (radio amateur antennas and near-horizon communications)

- Array Theory and Phased Arrays: Use signal processing techniques to analyze arrays (gain, tapered distribution, amplitude and phase error effects, 1-D and 2-D arrays, etc.)

- Mutual Impedance in Arrays: The emf method. Not a lot of coverage, but enough to understand it.

- Classic Antennas:  Dual-Dipole over a ground plane (symmetric pattern, array theory),

                             Dipole backed by a corner reflector (array theory),

                             Yagi-Uda (mutual coupling effect),

                             Log Periodic (endfire feeding),

                             Helical antennas (traveling waves on a circle and end-fire feeding arrangement),

                             Spiral antennas (wideband self-mapping),

                             Inverted F-Antennas (cell phones),

                             antennas for circular polarization (other than the helical antenna)

- Equivalence Principle and Slot Antennas (do not cover cavity backed slots)

- Microstrip Antennas: The two-slot model (do not cover cavity model), Microstrip antenna arrays.

- Miniature Antennas (Cell phone applications)

- System level applications of antennas (MIMO, Multi-Beam, Phased Arrays, etc.)




Lecture 1

Lecture 2

Lecture 3

Lecture 4

Lecture 4a

Lecture 5

Lecture 6

Lecture 7

Lecture 8

Lecture 9

Lecture 10

Lecture 11

More Antennas

Loop and Helix Antennas

Far field reflectors

RFID tutorial

Lecture 12

Slot antennas 1 2 3

Lecture 13

Horn antennas Square Circular

Lecture 14

Small Antennas 1 2

Miniature PIFAs 1 2 3

Multiband Antennas 1 2

Human Absorption of Radiation 1 2 3 4

Reflector and Lens Antennas 1 2


Additional Resources

Microstrip antenna and arrays:

Additional info on microstrip antennas

Planar 2-D microstrip arrays

Honest Miniature antennas by Mitsubishi Corp: GHz MHz

Picture of a 70-meter Deep Space Comm. Antenna at Goldstone, CA
A web-site with lots of nice information
Some Matlab codes:

Matlab codes for 2D radial pattern plotting

Matlab codes for 3D integration and plotting

Matlab codes for 3D pattern plotting


Some Matlab examples (very useful for homework):

An example for plotting 2D normalized pattern polar plots in dB

Matlab routine (polar_dB.m) for 2D normalized polar plots in dB



Fall 2012 
Fall 2011 


Fall 2010
Homework 6    


Academic dishonesty


Cheating, plagiarism and any other form of academic dishonesty will not be tolerated. This includes cheating on exams, using resources that are not allowed, copying lab reports or results, copying all or part of another group’s simulations or bread boards, lying to tutors/TAs or instructor, aiding in plagiarism or cheating, or any form of dishonesty. You may help each other with the homework (it does not need to be handed in). On the labs, you may consult each other. For example, you can ask how someone else went about solving the problem. You should not copy their solution or allow your solution to be copied. Once you have solved a problem yourself, you may compare and discuss. In short, you should do the work yourself and you can ask assistance from others. The TAs and tutors give you the same level of support (and this is a good yard stick for you to know what is allowed in terms of helping and what is not). Never claim work/ideas to be yours if they are not, and never assist others in cheating (e.g. by offering them your solutions). If you are not sure of what is allowed, ask the instructor. Wrong assumptions are never an excuse. There is a zero tolerance policy. Cheating on labs results on a zero credit on all labs; cheating on quizzes, the final exam or multiple labs will result in a possible F in the class. All cases of cheating will be reported to the department and your college. You risk possible suspension from UCSD.