EEL71590: Advanced Electromagnetics
Offered in Fall Semester
🛄
Instructor: Abhishek Sharma
Lecture: TBD
Office Hour: Friday: 4:00-5:00
Lecture: TBD
Office Hour: Friday: 4:00-5:00
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 media interfaces, guided waves, Green's function, EM scattering, diffraction, Gaussian beam, Goos-Haenchen Shift.
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: 20 %
- Quizzes: 10 %
- Assignment: 20%
- Major Exam: 50%
🗓️
Lecture Schedule
Week-1
Date: Maxwell's equations, generalized current concept, circuit-field relations, boundary conditions.
Date: Energy and power, time harmonic fields, complex power, Poynting's theorem.
Date: Conductors, dielectrics, polarization, relation between D and P.
Date: Energy and power, time harmonic fields, complex power, Poynting's theorem.
Date: Conductors, dielectrics, polarization, relation between D and P.
Week-2
Date: Lorentz dispersion model, discussion on current, complex permittivity.
Date: Generalized constitutive relations, Kramers-Kronig relation.
Date: Poynting's theorem in dispersive media, different types of medium.
Date: Generalized constitutive relations, Kramers-Kronig relation.
Date: Poynting's theorem in dispersive media, different types of medium.
Week-3
Date: Wave equation, plane wave functions, cylindrical wave functions, spherical wave functions [self study].
Date: Uniform plane waves in lossless medium.
Date: Phase and group velocity.
Date: Uniform plane waves in lossless medium.
Date: Phase and group velocity.
Week-4
Date: Uniform plane waves in lossy medium, evanescent waves, good dielectric, good conductor.
Date: Uniform plane waves at oblique angle, standing wave [self study].
Date: Linear and circular polarization.
Date: Uniform plane waves at oblique angle, standing wave [self study].
Date: Linear and circular polarization.
Week-5
Date: Elliptical polarization, polarization ellipse.
Date: Stokes parameters and Poincare sphere, Jones matrix.
Date: Waves at interfaces, normal incidence (lossless media), normal incidence (lossy media).
Date: Stokes parameters and Poincare sphere, Jones matrix.
Date: Waves at interfaces, normal incidence (lossless media), normal incidence (lossy media).
Week-6
Date: Oblique incidence (lossless media), TE polarization, phase matching condition, reflectance and transmittance.
Date: TM polarization, critical angle, brewster angle.
Date: Oblique incidence (lossy media) [self study], reflection and transmission in dielectric slab, anti-reflection coating.
Date: TM polarization, critical angle, brewster angle.
Date: Oblique incidence (lossy media) [self study], reflection and transmission in dielectric slab, anti-reflection coating.
Week-7
Date: Paraxial waves, Gaussian beam and its characteristics.
Date: Gaussian beam at the interface, Goos-Hänchen shift.
Date: Scalar and vector potential, gauges, construction of solutions-1.
Date: Gaussian beam at the interface, Goos-Hänchen shift.
Date: Scalar and vector potential, gauges, construction of solutions-1.
Week-8
Date: Construction of solutions-2.
Date: Solution of inhomogenous wave equation, far-field radiation, radiation and scattering equation [self-study].
Date: Duality theorem, Uniqueness theorem.
Date: Solution of inhomogenous wave equation, far-field radiation, radiation and scattering equation [self-study].
Date: Duality theorem, Uniqueness theorem.
Week-9
Date: Reciprocity theorem
Date: Surface equivalence principle.
Date: Aperture problem, induction theorem.
Date: Surface equivalence principle.
Date: Aperture problem, induction theorem.
Week-10
Date: Field analysis of guided waves, general characteristics of waveguides.
Date: Rectangular waveguide, modes, dominant mode.
Date: Waveguide bandwidth, losses in waveguides, hybrid modes.
Date: Rectangular waveguide, modes, dominant mode.
Date: Waveguide bandwidth, losses in waveguides, hybrid modes.
Week-11
Date: Partially filled waveguide and its characteristics.
Date: Dielectric slab waveguide, surface waves
Date: Modal expansion of fields, capacitve wavegiude junction.
Date: Dielectric slab waveguide, surface waves
Date: Modal expansion of fields, capacitve wavegiude junction.
Week-12
Date: Inductive waveguide junction (self study), coax to waveguide junction, rectangular cavity (self study).
Date: Circular metallic waveguide, circular cavity (self study).
Date: Circular dielectric waveguide and resonator.
Date: Circular metallic waveguide, circular cavity (self study).
Date: Circular dielectric waveguide and resonator.
Week-13
Date: Green's function, Sturm-Liouville probelm.
Date: Green's function in integral form.
Date: Green's function in series form, scattering, diffraction.
Date: Green's function in integral form.
Date: Green's function in series form, scattering, diffraction.