TORONTO METROPOLITAN UNIVERSITY

Course Outline (F2026)

ELE531: Electromagnetics

Instructor(s)Dr. Marco Antoniades [Coordinator]
Office: ENG 453
Phone: (416) 979-5000 x 556097
Email: mantoniades@torontomu.ca
Office Hours: Fridays 12:00 - 1:00 pm by email
Calendar DescriptionTime-varying fields and Maxwell's equations, boundary conditions, retarded potentials. The wave equation. The uniform plane wave, wave polarization, wave reflection. Transmission lines, Smith chart. Rectangular waveguides. Radiation from short dipoles, half- and quarter-wavelength antennas, the radiation resistance. Basic microwave measurements.
PrerequisitesELE 401 and CEN 199
Antirequisites

None

Corerequisites

None

Compulsory Text(s):
  1. F.T. Ulaby and U. Ravaioli, Fundamentals of Applied Electromagnetics, 8th ed, Pearson Education, 2020.
  2. Microwave Fundamentals, Student Manual, Festo Lab-Volt series (Quebec) Ltd., 1998 (2008 or later printing).
Reference Text(s):
  1. M.N.O. Sadiku, Elements of Electromagnetics, 7th ed, Oxford University Press, 2018.
  2. W.H. Hayt and J.A. Buck, Engineering Electromagnetics, 8th ed, McGraw-Hill, 2012.
  3. D.K. Cheng, Fundamentals of Engineering Electromagnetics, Addison-Wesley, 1993.
  4. R.E. Collin, Field Theory of Guided Waves, 2nd ed, IEEE Press, 1991.
  5. J.A. Edminister, Theory and Problems of Electromagnetics, 2nd ed, Schaum's Outline Series, McGraw- Hill, 1993.
Learning Objectives (Indicators)  

At the end of this course, the successful student will be able to:

  1. Develops further knowledge of science in support of application to engineering problems. (1a)
  2. Applies mathematical principles, skills, and tools to solve engineering problems, highlighting limitations or a range of applications. (1b)
  3. Demonstrates and applies core engineering principles and concepts to solve engineering problems. (1c)
  4. Develops further knowledge of uses of modern instrumentation, data collection techniques, and equipment to conduct experiments and obtain valid data. (5a)

NOTE:Numbers in parentheses refer to the graduate attributes required by the Canadian Engineering Accreditation Board (CEAB).

Course Organization

3.0 hours of lecture per week for 13 weeks
1.0 hours of lab per week for 12 weeks
1.0 hours of tutorial per week for 12 weeks

Teaching AssistantsMichael Zheng (michael.zheng@torontomu.ca)
 Amanah Albaba (amanah.albaba@torontomu.ca)
 Konstantin Kozhaev (konstantin.kozhaev@torontomu.ca)
 Samiul Islam (s10islam@torontomu.ca)
 Sanjit Pakalapati (priyank.pakalapati@torontomu.ca)
 
Course Evaluation
Theory
Mid-Term Exam 30 %
Lab Exam 5 %
Final Exam 50 %
Laboratory
Labs 15 %
TOTAL:100 %

Note: In order for a student to pass a course, a minimum overall course mark of 50% must be obtained. In addition, for courses that have both "Theory and Laboratory" components, the student must pass the Laboratory and Theory portions separately by achieving a minimum of 50% in the combined Laboratory components and 50% in the combined Theory components. Please refer to the "Course Evaluation" section above for details on the Theory and Laboratory components (if applicable).


ExaminationsAll exams will be carried out in person.
 
 Mid-Term Exam: Conducted in Week 8, covers the material from Weeks 1-7. One and a half (1.5) hour duration.
 Lab Exam: Conducted in conjunction with the final exam.  
 Final Exam: Conducted during the final exam period, covers all the material from Weeks 1-13. Three (3) hour duration.
Other Evaluation InformationNone
Teaching Methods1. Live lectures will be delivered synchronously (i.e. for all students at the same time) during the scheduled class hours in person, and via Zoom if possible.
 2. Notes/slides from the class lectures will be posted on D2L.
 3. Lecture recordings will also be posted on D2L.
Other InformationNone

Course Content

Week

Hours

Chapters /
Section

Topic, description

1

1

1-1 to 1-6

* Chapter sections refer to Ulaby's book *
 
 Introduction to Electromagnetism


1-5

14

2-1 to 2-11

Transmission Lines
 
 General Considerations
 Lumped-Element Model
 Transmission-Line Equations
 Wave Propagation on a Transmission Line
 The Lossless Microstrip Line
 The Lossless Transmission Line: General Considerations
 Wave Impedance of the Lossless Line
 Special Cases of the Lossless Line
 Power Flow on a Lossless Transmission Line
 The Smith Chart
 Impedance Matching


6

3

6-1, 6-7, 6-8, 6-11

Maxwell's Equations for Time-Varying Fields
 
 Faraday's Law (Review)
 Displacement Current (Review)
 Boundary Conditions for Electromagnetics
 Electromagnetic Potentials


7-9

9

7-1 to 7-6

Plane-Wave Propagation
 
 Time-Harmonic Fields
 Plane-Wave Propagation in Lossless Media
 Wave Polarization
 Plane-Wave Propagation in Lossy Media
 Current Flow in a Good Conductor
 Electromagnetic Power Density
 


10-11

6

8-1 to 8-3 and 8-6 to 8-11

Wave Reflection and Transmission
 
 Wave Reflection and Transmission at Normal Incidence
 Snells Laws
 Fiber Optics
 Waveguides
 General Relations for E and H
 TM Modes in Rectangular Waveguide
 TE Modes in Rectangular Waveguide
 Propagation Velocities


12

3

9-1 to 9-4

Radiation and Antennas
 
 The Hertzian Dipole
 Antenna Radiation Characteristics
 Half-Wave Dipole Antenna
 Dipole of Arbitrary Length


13

3

All sections above

Review


Laboratory(L)/Tutorials(T)/Activity(A) Schedule

Week

L/T/A

Description

---

---

Basic Microwave Measurements: 1-hour Lab every week
 Tutorial: 1 hour every week

2

Lab 1/Tutorial 1

Exercise 1: Familiarization with Microwave Equipment
 Tutorial #1

3

Lab 2/ Tutorial 2

Exercise 2: Power Measurements
 Tutorial #2

4

Lab 3/Tutorial 3

Exercise 4: Calibration of Variable Attenuator
 Tutorial #3

5

Lab 4/Tutorial 4

Exercise 6: Attenuation Measurements
 Tutorial #4

6

Lab 5/Tutorial 5

Exercise 7: Standing Waves for a Fixed Short Circuit Termination
 Tutorial #5

7

Lab 6/Tutorial 6

Exercise 7: Standing Waves for a Fixed Load Termination and a Matched Load Termination
 Tutorial #6

8

Mid-Term Exam

Midterm Exam Week (No Labs or Tutorials)
 

9

Lab7/Tutorial 7

Exercise 8: The Directional Coupler
 Tutorial #7

10

Lab8/Tutorial 8

Exercise 9: Reflection Coefficient Measurements
 Tutorial #8

11

Lab9/Tutorial 9

Exercise 10: SWR Measurements
 Tutorial #9

12

Lab10/Tutorial 10

Exercise 11: Impedance Measurements
 Tutorial #11

13

Tutorial 11

Makeup Lab Evaluation
 Tutorial #11

University Policies & Important Information

Students are reminded that they are required to adhere to all relevant university policies found in their online course shell in D2L and/or on the Senate website

Refer to the Departmental FAQ page for furhter information on common questions.

Important Resources Available at Toronto Metropolitan University

Academic Program Advising Contacts

Visit the Electrical, Computer and, Biomedical Engineering department's faculty page for contact information.

Lab Safety

Students are to strictly adhere and follow:

  1. The Lab Safety information/guidelines posted in the respective labs,
  2. provided in their respective lab handouts, and
  3. instructions provided by the Teaching Assistants/Course instructors/Technical Staff.

During the lab sessions, to avoid tripping hazards, the area around the lab stations should not be surrounded by bags, backpacks etc, students should place their bags, backpacks etc against the walls of the labs and/or away from their lab stations in such a way that it avoids tripping hazards.

Accessibility

Please see the Toronto Metropolitan University's Accessibility website for the university's statement on accessibility.

Academic Accommodation Support

Academic Accommodation Support (AAS) is the university's accessibility services office, supporting students with disabilities. AAS works with students, faculty, and staff to create inclusive learning environments, reduce barriers, and promote accessibility across the university.

If you have (or suspect you may have) a disability, AAS can provide consultation, guide you through registration, develop accommodation plans where appropriate, and connect you with supports and services. For information about eligibility, documentation requirements, registration, deadlines, and available services, visit AAS.

Academic Accommodations (for students with disabilities) and Academic Consideration (for short-term extenuating circumstances) are governed by different university policies. Learn more about each process and how to access support. Students registered with AAS may request academic consideration (related or unrelated to their disability) if they experience extenuating circumstances that impact their ability to meet their shorter term academic obligations. This includes short term physical or mental health issues that are sudden/acute (e.g, the flu), unexpected illness or injury, hospitalization or treatment, and significant aggravation of a pre-existing condition. Please see Policy 167: Academic Consideration for more information and details.

Please note that there is no accommodation for missing/rescheduling or reweighting of tests - this is considered an alternate arrangement. Any student who misses a test/exam will be directed to submit an ACR to explore if possible alternate arrangements under Policy 167: Academic Consideration can apply .

Wellbeing Support

At Toronto Metropolitan University, we recognize that things can come up throughout the term that may interfere with a student’s ability to succeed in their coursework. These circumstances are outside of one’s control and can have a serious impact on physical and mental well-being. Seeking help can be a challenge, especially in those times of crisis.

If you are experiencing a mental health crisis, please call 911 and go to the nearest hospital emergency room. You can also access these outside resources at anytime:

If non-crisis support is needed, you can access these campus resources:

We encourage all Toronto Metropolitan University community members to access available resources to ensure support is reachable. You can find more resources available through the Toronto Metropolitan University Wellbeing Central website.