Module 1: Introduction to Analytical Techniques, Boundary Condition: Dirichlet’s Condition, Neumann Condition, Round Robin Condition, Solution of Metallic Waveguide, Mode Matching Method, Solution of Partially Dielectric Filled Metallic Waveguide, Solution of Dielectric Slab waveguide, Solution of Cylindrical Dielectric Waveguide, Transverse Resonance Technique
(16 hours)

Module 2: Introduction to Numerical Methods: Electromagnetic Problems, Basic Numerical Methods, Solution of Algebraic Equations, Error, Accuracy Consideration, Examples, Introduction to Method of Moments (MoM), Linear Operators, Approximation by Expansion in Basis Functions, Determination of the parameters, Differential Operators, Integral Operators, Pulse Functions, Parallel Plate Capacitor in Two Dimensions, Analysis of Wire Dipole Antenna.
(6 hours)

Module 3: Fourier Transform Method, Fourier transformation, Two-dimensional Fourier transformation, Boundary conditions, Equivalent of differentiation and integration w.r.t. time in spectral domain, Solution of Micostrip resonator/antenna
(6 hours)

Module 4: Finite-Difference Method: Finite-Difference in One Dimension, A One Dimensional Differential Equation, Finite-Difference in Two Dimensions, Two Dimensional Capacitance Problem, Open Regions, Generalizations, Determination of Eigenvalues in One Dimension, Waveguide Mode Example, Numerical Evaluation of the Determinant, Iterative Solution Methods, Finite-Difference Time-Domain Method: Wave Equation in One Spatial Dimension, Time Quantization, Initial Conditions, Waves in Two and Three Spatial Dimensions, Maxwell’s Equations.
(6 hours)

Module 5: Finite Element Method: Basic Concept of Finite Elements, Finite Elements in One Dimension, Linear Interpolation for Isosceles Right Triangles, Square Elements, General Triangular Elements, High Order Interpolation with Triangles, Nodal Expansions and the weak Formulation, Time Dependent Variables, Comparison of FDM, FDTD, FEM, and MoM, Hybrid Computational Methods.
(6 hours)

To build the concepts on computational electromagnetic theory

To compute various types of problems on electromagnetics

To develop analytical and numerical skills in electromagnetic

To introduce the concepts on applications of computational electromagnetic theory in real-time

After the completion of this course, students will be able to:

CO1: understand the fundamentals as well as the advanced topics and the concepts of
computational electromagnetic theory
CO2: describe the various aspects of computational electromagnetic theory.
CO3: analyze the different components like a waveguide, transmission lines, etc.
CO4: apply the knowledge to investigate the cause and effect qualitatively
CO5: construct/design some basic designs on their own

R. Garg, Analytical and Computational Methods in Electromagnetics, Artech House Publication, 2012

M. N. O. Sadiku, Computational Electromagnetics with MATLAB, 4th edition, CRC Press, 2018

A. F. Peterson, S. L. Ray, and R. Mittra, Computational Methods for Electromagnetics, IEEE Press

R. F. Harrington, Field Computation by Moment Methods, Macmillan

IEEE Transactions on Antennas and Propagation

IEEE Transactions on Microwave Theory and Techniques