Applied Electromagnetics For Engineers

Por: Swayam . en: ,


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 Year
Prerequisites : 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