Computational Electromagnetics

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

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