# The Department of Electrical Engineering & Computer Science

## EECS 224 - Fundamentals of Electromagnetics and Photonics

CATALOG DESCRIPTION: Concepts of flux, potential, gradient, divergence, curl, and field intensity. Boundary conditions and solutions to Laplace and Poisson equations. Capacitance and inductance calculations. Conductors, insulators, and magnetic materials. Introduction to Electromagnetic Waves and Transmission Lines.

REQUIRED TEXTS:

1. F. Ulaby, Fundamentals of Applied Electromagnetics , Prentice Hall, 2004

REFERENCE TEXT:

1. J. Edminister, Schaum's Outline of Theory and Problems of Electromagnetics , McGraw-Hill.

COURSE COORDINATOR: Selim Shahriar

COURSE GOALS: To provide the electrical engineering student with the necessary foundation in electromagnetism to appreciate how electromagnetic fields and waves impact modern technology such as high-speed digital circuits and fiber optics.

PREREQUISITES: EECS 202, Physics 135-2 and Mathematics 234.

DETAILED COURSE TOPICS:

Week 1 Electrostatics: Charge and current. Coulomb's Law. Gauss' Law. Electric
potential.

Week 2 Electrostatics, continued: Electrical properties of materials. Conductors and
dielectrics. Electric field boundary conditions. Capacitance and electrostatic field energy.

Week 3 Magnetostatics: Forces and torques. Biot-Savart Law. Gauss' Law. Ampere's
Law.

Week 4 Magnetostatics, continued: Magnetic properties of materials. Magnetic field
boundary conditions. Inductance and magnetic field energy.

Week 5 Maxwell's equations for time-varying fields: Lenz's Law. Transformers and
generators.

Week 6 Maxwell's equations for time-varying fields, continued: Faraday's Law. Displacement current and the generalized Ampere's Law. Field boundary conditions. Vector Potential. Field from a current source.

Week 7 Transmission lines: Lumped-element model. Transmission line equations.
Wave propagation and reflection. Standing waves. Input impedance. Smith Chart.

Week 8 Transmission Lines, Continued: Impedance matching and Transients in Transmission Lines. Plane-wave propagation: Time-harmonic fields. Propagation in lossless media. Polarization. Propagation in lossy media. Skin effect.

Week 9 Plane-wave propagation, continued: Propagation in lossy media. Skin effect. Poynting vector and power flow.Wave reflection and transmission: Normal incidence.

Week 10 Plane-wave propagation, continued: Snell's Laws. Total internal reflection. Application to fiber optics. Overview of further study in electromagnetism: Survey of advanced courses in electromagnetism, and outlook for industrial as well as research activities in electromagnetics and photonics.

GRADES: Midterm 30%; final 40%; homework 30%.

COURSE OBJECTIVES: When a student completes this course, s/he should understand:

1) Theoretical foundations of static electric and magnetic fields: Coulomb's Law, charge
conservation, Biot-Savart Law, Faraday's Law, Ampere's Law, and Gauss' Laws. Key
concepts include field boundary conditions, potential functions, and energy storage.

2) Basic electrical properties of conductors, semiconductors, dielectrics, and magnetic materials.

3) Fundamental concepts of conductance, capacitance, and inductance.

4) Lenz's Law and the operation of simple motors and generators.

5) Fundamentals of transmission lines.

6) Propagation of plane electromagnetic waves in unbounded media, including power flow.

7) Fundamental concepts of plane-wave reflection and transmission at material interfaces, leading to geometrical optics.

8) Why the study of electromagnetics important in the modern world, what opportunities exists in the idustrial world for someone well trained in electromagnetism, and what is exciting about research activities in electromagnetics and photonics.

ABET CONTENT CATEGORY: 25% Math and Basic Science, 75% Engineering.

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