# Computational Electromagnetics

By Prof. Uday Khankhoje   |   IIT Madras
Learners enrolled: 762
This course on Computational Electromagnetics is targetted at senior undergraduate students and beginning graduate students who have taken a first course in Engineering Electromagnetics. The course covers the mathematical formulation of the main methods currently in use by the community, namely: Integral Equations Methods (and their solution by the Method of Moments), the Finite Element Method, and the Finite Difference Time Domain method. These methods are illustrated by their use in solving scattering problems and antenna radiation/impedance calculation problems. Additional topics include introduction to inverse problems, calculating the mutual coupling between antennas, finding the electromagnetic modes of a waveguide, and techniques to hybridize the Finite Element Method with the Integral Equation Method. Programming issues faced in the implementation of these methods will also be highlighted. INTENDED AUDIENCE: Senior UG students, PG students PREREQUISITES: Engineering electromagnetics INDUSTRY SUPPORT: ISRO, DRDO
Summary
 Course Status : Completed Course Type : Elective Duration : 12 weeks Start Date : 26 Jul 2021 End Date : 15 Oct 2021 Exam Date : 24 Oct 2021 IST Enrollment Ends : 09 Aug 2021 Category : Electrical, Electronics and Communications Engineering Photonics Credit Points : 3 Level : Postgraduate

### Course layout

Week 1:    Review of vector calculus, electromagnetic fields, and an overview of computational electromagnetics Week 2:    Numerical integration, Introduction to integral equations, and the Helmholtz equation
Week 3:    Surface integral equations in 2D, Green's functions
Week 4:    Solving surface integral equations by method of moments
Week 5:    Solving volume integral equations by method of moments, Introduction to finite element methods
Week 6:    Finite element method in 1D
Week 7:    Finite element method in 2D
Week 8:    Finite difference time domain method - introduction
Week 9:    Finite difference time domain method - materials and boundary conditions
Week 10:  Finite difference time domain method - perfectly matched layers
Week 11: Applications of CEM -- inverse problems and antenna radiation problems Week 12: Applications of CEM -- antenna radiation problems and hybrid methods

### Books and references

1. Computational Methods for Electromagnetics - Peterson, Ray, Mitra, IEEE Press 2. Advanced Engineering Electromagnetics - C A Balanis, Wiley India. 3. Waves and fields in inhomogeneous media - W C Chew, IEEE Press 4. Finite Element Method for Electromagnetics: Antennas, Microwave Circuits, and Scattering Applications - Volakis, Chatterjee, and Kempel, Wiley

### Prof. Uday Khankhoje

Prof. Uday Khankhoje is an Associate Professor of Electrical Engineering at the Indian Institute of Technology Madras, Chennai, India. He received a B.Tech. degree from the Indian Institute of Technology Bombay, Mumbai, India, in 2005, an M.S. and PhD. degrees from the California Institute of Technology (Caltech), Pasadena, USA, in 2010, all in Electrical Engineering. He was a Caltech Postdoctoral Scholar at the Jet Propulsion Laboratory (NASA/Caltech) from 2011-2012, a Postdoctoral Research Associate in the Department of Electrical Engineering at the University of Southern California, Los Angeles, USA, from 2012-2013, an Assistant Professor of Electrical Engineering at the Indian Institute of Technology Delhi from 2013-2016, and an Assistant Professor of Electrical Engineering at the Indian Institute of Technology Madras from 2016-2021. His research interests are in the area of computational electromagnetics and its applications to remote sensing and inverse imaging. He received an Institute award for teaching excellence at IIT Delhi in 2015 for an undergraduate course on electromagnetism.

### Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 24 October 2021 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Madras .It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team