EE6506 Computational Electromagnetics (Jan-May 2019), Instructor: Dr Uday Khankhoje
Lectures (F slot: Tue 4:50-5:40p, Wed 11-11:50a, Thu 9-9:50a, Fri 8-8:50a). Venue CSD 320.
News
  1. HW5 is released on 05 Apr, due on 28 Apr 2019.
  2. Quiz 2 on 29 March 2019.
  3. HW4 is released on 12 Mar, due on 28 Mar 2019.
  4. HW3 is released on 26 Feb, due on 12 Mar 2019.
  5. Quiz 1 on 15 Feb in two parts, due on 15 and 16 Feb 2019.
  6. HW2 is released via Matlab grader, due on 11 Feb 2019.
  7. HW1 is released, due on 04 Feb 2019.
  8. Prerequisites of this course are: electromagnetics and linear algebra.
  9. Note that this course is being simultaneously video recorded for NPTEL and will be offered as a MOOC in the near future.
  10. TAs for this course are: Yaswanth Kalepu, Siddhant Gautam
Lecture topics
  1. Overviews and Reviews (5 lectures)
    1. Review of vector calculus (Ch 1 of Griffiths) handout, slides. Lecture 01
    2. Overview of computational electromagnetics (Ch 1 of Chew2) handout, slides. Lecture 02: 16 Jan 2019
    3. Review of Maxwell's equations, equivalence theorems (Ch 1,7 of Balanis) handout, slides. Lecture 03,04: 17,18 Jan 2019
    4. Review of numerical integration (Ch 4 of Numerical) link slides. Lecture 04,05: 18,22 Jan 2019
  2. Integral equation methods (11 lectures)
    1. Introduction to integral equations (Ch 8.2 of Balanis2) handout, slides. Lecture 06: 23 Jan 2019
    2. Surface integral equations: mathematical derivation of Huygen's principle, Extinction theorem (Ch 8 of Chew1) handout, slides. Lecture 07,08: 24,25 Jan 2019
    3. Introduction to Green's functions: 1D example of string, 2D and 3D wave equation (Ch 14 of Balanis1) handout, slides. Lecture 09,10,11: 30,31 Jan, 1 Feb 2019
    4. Solving integral equations using the method of moments (MoM) (Ch 2 of Chew2) handout; Example of MoM: 2D surface integral equations (Ch 8 of Chew1) handout; 2D volume integral equations (Ch 2.5 of Peterson) handout, slides. Lecture 12,13,14,15: 05,06,07,08 Feb 2019
    5. Summary of integral equation methods; computation of radar cross-section (RCS) (Ch 1 of Peterson) handout, slides. Lecture 16: 12 Feb 2019
  3. Finite element methods (9 lectures)
    1. Introduction and history of FEM, FEM in the method of moments framework; 1 and 2D basis functions in FEM (Ch 2 of Volakis) handout, slides. Lectures 17,18: 19,20 Feb 2019
    2. Weak form of FEM; Robin boundary conditions; example of solving the 1D wave equation using FEM (Ch 3 of Volakis) slides. Lectures 19,20: 21,22 Feb 2019
    3. 2D edge-based (vector) FEM: Weak form of FEM; shape functions, weak form and radiation boundary conditions, total and scattered field formulations, assembly of equations, numerical aspects in computing 2D FEM matrix elements, and overall procedure (parts of Ch 4 of Volakis, instructor notes) slides. Lectures 21,22,23,24,25: 26,27,28 Feb, 1,5 Mar 2019
  4. Finite Difference Time Domain methods (10 lectures)
    1. Introduction to FDTD: update equations, computational stencil in 2D; slides (see the 1D method from Ch. 3 here (upto 3.3)). Lectures 26,27: 06,07 Mar 2019
    2. FDTD -- Analysis, convergence, accuracy and numerical dispersion; (Ch 12 of Peterson) handout. slides from above. Lectures 28,29: 07,19 March 2019
    3. FDTD -- incorporating dielectric and dispersive materials; absorbing boundary conditions slides. Lectures 30,31: 20,21 Mar 2019
    4. FDTD -- failure of ABCs and introduction of perfectly matched layers (PML), ref paper (PDF), further notes, slides. Lectures 32,33,34: 22,26,27 Mar 2019
    5. FDTD -- direct current sources, incident field introduction in scattering problems; slides. Lecture 35 28 Mar 2019
  5. Applications of computational electromagnetics
    1. Microwave inverse imaging; notes, slides. Lecture 36 30 Mar 2019
    2. Antenna radiation problems -- Hertz dipole and its fields; Pocklington's integral equation for finding the current on a finite length wire; mutual coupling between array elements; slides. Lectures 37,38,39,40 05,09,10,11 Apr 2019
    3. Calculating the modes of a waveguide structure using the integral equation method -- solving a generalized eigen value problem; slides. Lecture 41 12 Apr 2019
    4. Hybrid methods in CEM -- Finite Element - Boundary Integral method; slides. Lecture 42 16 Apr 2019
Course flyer
  • Topics (broad list) :
    Review of vector calculus, review of electromagnetism, advanced concepts in EM: Uniqueness, reciprocity, reaction, volume equivalence, surface equivalence (Huygen's theorem), image theory, Green's functions, integral equation methods and the method of moments (MoM), finite element method (FEM), finite difference time domain method (FDTD), numerical methods of solving matrix equations.
  • Reference material:
    Advanced Engineering Electromagnetics - C A Balanis, 1st ed.
    Computational Methods for Electromagnetics - Peterson, Ray, Mitra
    Waves and fields in inhomogeneous media - Chew1
    Integral Equation Methods for Electromagnetic and Elastic Waves - Chew2, Tong, Hu
    Finite Element Method for Electromagnetics: Antennas, Microwave Circuits, and Scattering Applications - Volakis1, Chatterjee, and Kempel
    Introduction to the FDTD for Electromagnetics - Gedney
    Frequency Domain Hybrid Finite Element Methods for Electromagnetics - Volakis2, Sertel, Usner
    Numerical recipes in C++ - Brian P. Flannery, Saul Teukolsky, William H. Press, and William T. Vetterling
    Antenna Theory and Design - C A Balanis2
Grading
  • Exams: Quiz 1&2 (15% each), End Sem: 30%
  • Assignments/projects: 40%
Policies
  • As per institute rules, 80% attendance (minimum) is mandatory and will be enforced.
  • Collaboration policy: For the purpose of assignments and projects, students are free to: Look up any reference texts or Internet resources, use any computational software (Mathematica/MATLAB), and discuss with faculty or fellow students. However, the assignments turned in must be entirely original. Strictly off limits are: Looking at the final work of a fellow student, or the solution manuals of any reference text, or past assignment/examination material of any courses.
  • Academic misconduct: There will be zero tolerance towards any unethical means, such as plagiarism (COPYING in plain and simple terms). Read these links to familiarize yourself, there will be no excuse for ignorance: URL1, URL2, URL3. Penalties incude: receiving a zero in a particular assignment/examination, receiving a fail grade for the entire course, having a note placed in your permanent academic record, suspension, or all of the above. All electronic submissions will be via a plagiarism detection software, TurnItIn. Details will be discussed in class.

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