ECL71590: Advanced Electromagnetics

Offered in Fall Semester

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Instructor: Abhishek Sharma
Lecture: Tuesday (3:00-3:50 pm), Wednesday and Friday (2:00-2:50 pm) [Slot-G
Office Hour: Monday: 4:00-5:00

Minor Exam: September 15-20
Major Exam: November 19-26

Holidays: August 26, September 4, October 2, October 20
No Class Day: Octover 30
Semester Break: November 2-8

Course Description

This is advanced level course on electromagnetic theory for PG and final year UG students. This course builds upon UG electromagnetic engineering courses and enables the students to gain an in-depth understanding of electromagnetic concepts, theorems, and analytical techniques. Topics covered include temporal and frequency domian Maxwell's equations, boundary conditions, wave propagation in different media, material polarization and dielectrics, electromagnetic theorems, wave polarization, poincare sphere, waves at planr interfaces, guided waves, Green's function, paraxial wave, Gaussian beam, Goos-Haenchen Shift, angular spectrum of plane waves.

Recommended Texts

R. F. Harrington, Time-Harmonic Electromagnetic Fields, IEEE Press (Wiley).
C. A Balanis, Advanced Engineering Electromagnetics, 3rd edition, Wiley.
J. D. Jackson, Classical Electrodynamics, 3rd edition, Wiley.

Evaluation

Following components are the part of overall evaluation:

Mid-Semester Exam: 15 %
Quizzes: 10 %
Assignment: 25 %
Major Exam: 50%

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Lecture Schedule

July 31: Course handout, Review of Maxwell's equations in time and frequency domain.

Aug 4-7: Boundary conditions, Energy and Power.

Aug 11-14: Electric polarization, Lorentz dispersion model, Kramers-Kronig relations.

Aug 18-21: Electromagnetic Theorems.

Aug 25-28: Wave equation and wave functions.

Sept 1-2: Plane waves, Phase and group velocity.

Sept 8-11: Complex waves, Wave polarization.

Sept 22-25: Plane wave spectral representation for EM fields, Waves at planar interface: normal incidence, Waves at oblique angle: TE polarization

Sept 29-30: TM polarization, Brewster angle, Critical angle.,

Oct 5-9: Paraxial waves, Gaussian beam and its characteristics, Gaussian beam at the interface, Goos-Hänchen shift, Scalar and Vector Potential, Gauges, Construction of solutions.

Oct 13-16: General characteristics of waveguides, mode orthogonality, dispersion diagram, uniform rectangular waveguide, waveguide resonator.

Oct 19-23: Material slab waveguide, Modal expansion of fields, capacitive junction, coax-to-waveguide junction, cylindrical metallic waveguide.

Oct 27-28: Cylindrical dielectric waveguide, optical fiber.

Nov 10-13: Optical fiber, introduction to Green’s function.

Nov-17: Application of Green's function.