Applied Electromagnetics for Engineers

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.

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:

• Total internal reflection and Snell's laws
• Application: Multilayer thin films
• Application: Fabry-Perot cavity
• Waveguides - General introduction
• Rectangular metallic waveguide modes

Week 10:

• Dispersion and attenuation
• Dielectric planar waveguides
• Case study: Optical fibers
• Application: Fiber-optic communications
• WDM optical components

Week 11:

• Wave propagation in crystals and index ellipsoid
• Wave propagation in Ferrites
• Wave propagation in periodic structures: Diffraction
• Vector potential and wave equation
• Radiation by dipole

Week 12:

• Fundamental Antenna parameters
• Half-wave dipole
• Antenna array and diffraction
• Application: RFID
• Looking ahead

Thanks to the support from MathWorks, enrolled students have access to MATLAB for the duration of the course.