Course Details

Subject {L-T-P / C} : EC6404 : Analytical and Computational Techniques in Electromagnetics { 3-0-0 / 3}

Subject Nature : Theory

Coordinator : Prof. Sudipta Maity

Syllabus

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
(12 hours)

Module 2: Introduction to Numerical Methods: Electromagnetic Problems, Basic Numerical Methods, Solution of Algebraic Equations, Error, Accuracy Consideration, Examples
(2 hours)

Module 3: 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
(6 hours)

Module 4: 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. 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.
(6 hours)

Module 5: Method of Moments: 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, Comparison of FDM, FDTD, FEM, and MoM. Hybrid Computational Methods.
(6 hours)

Module 6: Fourier Transform Method, solution of microstrip antenna/resonator using Spectral Domain Method (SDM).
(6 hours)

Course Objectives

Course Outcomes

1) Understand various types of analytical and numerical techniques to solve a boundary value problem related to electromagnetics. <br />2) Developing skills for analyzing a practical problem related to Antenna, microwave circuits, RADAR problems.

Essential Reading

Supplementary Reading

Journal and Conferences