Overview

Applied electromagnetics for engineers is designed to be an application oriented course while covering all the theoretical concepts of modern electromagnetics. It begins by an in-depth study of transmission lines which play an important role in high-speed digital design and signal integrity of PCBs. After a brief review of necessary mathematics (coordinate systems, vector analysis, and vector fields), the course covers analytical and numerical solution of Laplace's and Poisson's equations, quasi-static analysis of capacitors and skin effect, inductance calculations, and Maxwell equations. Wave propagation in free-space, ferrites, and peroidic media are covered along with waveguides (rectangular, planar dielectric, and optical fibers) and antennas. The course includes a balance between theory, programming, and applications. Several case studies will be discussed.Intended Audience :UG 2nd, 3rd YearPrerequisites : Electricity and magnetism at the level of high-school, Vector analysis, Differential and integral calculus, programming using Matlab (preferable)Industries that will recognize this course :Core UG course that is necessary for follow up courses on high speed digital design, RF and microwave, fiber optics, antennas. Companies/Industry such as Sterlite, Analog Devices, GE, Comsol India, Matlab, Texas Instruments, Defense labs etc will be interested.

Syllabus

Week 1:

Introduction to Applied EM theory
Lossless Transmission line equations
Frequency-domain behavior: Characteristic impedance of T-line
Reflection and transmission coefficients
Complete solution for sinusoidal propagation

Week 2:

More general T-lines
Attenuation and propagation coefficients
Transmission line techniques: Standing wave ratio (SWR) and line impedance
Visual aid: Smith Chart derivation
Smith chart applications: Impedance to admittance conversion, SWR and impedance calculation

Week 3:

Impedance matching techniques - Part 1
Impedance matching techniques - Part 2
T-lines in time-domain: Reflection from mismatched loads
Lattice diagram calculations
Pulse propagation on T-lines

Week 4:

Case study: High-speed digital signals on PCBs
Transients with reactive termination
Application: Time-domain reflectometry
Review of Coordinate Systems
Review of Vector analysis -1

Week 5:

Review of Vector analysis -2
Vector fields -Part 1
Vector fields - Part 2
Overview and importance of Maxwell's equations
Boundary conditions between two media

Week 6:

Solution of Laplace's and Poisson's equation -- Analytical techniques
Solution of Laplace's and Poisson's equation in two dimensions
Numerical solution of Laplace's equation: Finite difference method
Numerical technique: Method of moments
Quasi-statics: Does an ideal capacitor exist?

Week 7:

Magnetostatic fields: Biot Savart and Ampere's laws
Magnetic field calculations
Inductance and inductance calculation
Quasi-statics: Fields of a wire
Quasi-static analysis of skin effect

Week 8:

Uniform plane waves - one dimensional wave equation
Uniform plane waves: propagation in arbitrary direction, phase velocity, polarization
Plane waves in conductors an dielectric media
Reflection and transmission of plane waves at a planar interface
Oblique incidence and reflection of plane waves - s and p polarization

Week 9: