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.
Overview
Syllabus
Week 1:
Week 2:
Week 3:
Week 4:
Week 5:
Week 6:
Week 7:
Week 8:
Week 9:
Week 10:
Week 11:
Week 12:
- 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.
Taught by
Prof. Pradeep Kumar
