ECE 222A – Fall 2014

Antennas and their System Applications


Latest Announcements

01-04:  Prof. Rebeiz will be in his office on Monday Jan. 5 at 1:30-5pm in case you want to pass and pick up your exam or discuss your grade
Grades are posted. You can pick up the final exam on Tuesday Dec. 23 at 9-12pm, or on Monday Jan. 5. Have a merry Xmas and a happy new year.
Grades will be posted on Monday late evening
12-14:  The TA will have office hours finals week on Tue 1-2pm and Wed 3-4pm. You can pick up hws 4, 5, 6 and ask questions
12-12:  Prof. Rebeiz will have office hours on Tuesday December 16 at 4-5:15pm
Final exam in on Thursday Dec. 18 at 8-11am in class: Closed book, closed notes, but bring:
           a) blue book and black or blue pen,
           b) scientific calculator which is not programmable (cosine, sine, log, e^x, etc.),
           c) one page sheet (front and back) with anything that you wish written on it (do not copy graphs such as mutual coupling..I will give this to you).
Pizza will be offered today, Friday Dec. 5, at 4pm, for the Antenna-Thon.
On Dec. 2, we will cover Lecture 13 (horns only..not the fourier transform)
           On Dec. 4, we will cover Reflectors and will post some material on the web

           On Dec. 9, we will cover Lecture 14 (small antennas). Please bring the supporting material under Lecture 14 (or get access to them in the class)

           On Dec. 11, we will cover antenna measurements
11-24:  We will cover microstrip antennas and apertures on Tuesday
We will have a nice lecture on “Antennas in the World Around Us” on Friday December 5, 2014, at 4-5:20pm, Jacobs Hall, room 6504.
           Be prepared…we will have prizes for the students who can decipher some obscure antennas.
For Thursday Nov. 20, Prof. Rebeiz OH will be at 11-12pm and not at 130-3pm. Sorry for the late message.
Special office hours on Wednesday at 330-5pm for students who want to discuss the exam
11-08:  There will be TA office hours next Monday (11/10), please ignore earlier update on this
11-07:  On Tuesday Nov. 11, the campus will be closed for Veterans Day. No classes are scheduled on this day.
11-07:  No TA office hours next Monday (11/10)
11-07:  In the coming week, we will be doing lectures 10,11, and start with 12
Midterm is closed book, closed notes. Please bring a blue book and a black or blue pen. No calculators are allowed.
10-28:  In HW3, the H-plane is the XY plane, not XZ plane
10-28:  We will cover lectures 7 and 8 on Thursday and Tuesday
In problem 1(a), plot the E & H plane radiation patterns
10-22:  HW3 will be posted on Thursday (10/23)
10-20:  This week, we will cover lectures 5,6 and the first part of 7.
10-14:  On Thursday October 16, we will cover more on travelling-wave antennas and start ground planes and array theorem (lecture 5)
10-12:  We will continue on dipoles, and then cover loops and TW antennas on Tuesday
10-10:  HW1 hints:
           In D = 32400/(theta_a*theta_b), the angles are in degrees
           In problem 5, remember, from diffraction, that beamwidth is inversely proportional to aperture length
         In problem 7, just find the aperture in terms of lambda^2
10-8:   Correction - In HW 1, problem 3-2, it should be beamwidth, not bandwidth
10-8:    On Thursday October 9, we will cover a) Polarization, b) Radiation and c) Dipoles (Lectures 2,3,4).
           Note that Lecture 3 is optional and we will discuss what this means in class.
10-7:   Please print lectures 1-5 and bring them to class with you
10-5:   Midterm Exam will be on Nov. 6
10-2:   Welcome to ECE 222A - Fall 2014.

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:  Bhaskara Rupakula

TA Offices Hours: Mon. and Wed. 11-12:30 pm, or by appointment,

                          Room 4506 Jacobs Hall


Lectures:    Tuesdays and Thursdays, 9:30 am - 10:50 am, Warren Lecture Hall  2205


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        Date, Time and Location TBD
                50%    Final Exam     Thursday 12/18/2014  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


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.