Computational Methods for Electromagnetics

a
Course
Postgraduate
Semester
Sem. II
Subject Code
AVR622
Subject Title
Computational Methods for Electromagnetics

Syllabus

Fundamental Concepts: Integral equations versus differential equations, radiation and edge conditions, modal representation of fields in bounded and unbounded media. Finite Difference Methods: Introduction, Finite Difference Schemes, Finite differencing of parabolic PDE, Finite Differencing of Hyperbolic PDE, Finite differencing of elliptic PDE, Accuracy and stability of FD Solutions, Practical Applications in Guided structure. Integral Equations: Formulation of typical problems in terms of integral equations: wire antennas, scattering, apertures in conducting screens and waveguides, discontinuities in waveguides and microstrip lines; Solution of Integral equations: General Method of Moments (MoM) for the solution of integro-differential equations, choice of expansion and weighting functions, application of MoM to typical electromagnetic problems. Finite Element Method: Typical finite elements, Solution of two-dimensional Laplace and Poisson’s equations, solution of scalar Helmholtz equation. Finite-difference Time-domain Method: Finite differences, finite difference representation of Maxwell’s equations and wave equation, numerical dispersion, Yee’s finite difference algorithm, stability conditions, programming aspects, absorbing boundary conditions.

 

Text Books

Same as Reference

References

1. Field Theory of Guided Waves, Collin, R. E., 2nd Ed., Wiley-IEEE Press, 1991.

2. Computational Methods for Electromagnetics, Peterson, A. F., Ray, S. L., and Mittra, R., Wiley-IEEE Press, 1998.

3. Field Computation by Moment Methods, Harrington, R. F., Wiley-IEEE Press, 1993.

4. Numerical Techniques in Electromagnetics, Sadiku, M. N. O., 2nd Ed., CRC Press, 2001.

5. Finite Element Method for Electromagnetics, Volakis, J. L., Chatterjee, A., and Kempel, L. C., Wiley-IEEE Press, 1998.

6. Computational Electrodynamics, Taflove, A., and Hagness, S. C., 3rd Ed., Artech House.

Course Outcomes (COs):
CO1: Learn the fundamentals of different numerical methods, electromagnetic theorems, integral equations versus differential equations, radiation and edge conditions, and modal representation of fields in bounded and unbounded media.

CO2: Understand finite difference schemes, finite differencing of parabolic PDE, hyperbolic PDE, elliptic PDE, accuracy and stability of FD solutions and practical applications in guided structure.

CO3: Evaluate integral equations: wire antennas, scattering, apertures in conducting screens and waveguides, discontinuities in waveguides and microstrip lines and solution of integral equations.

CO4: Analyze finite differences, finite difference representation of Maxwell’s equations and wave equation, numerical dispersion, Yee’s finite difference algorithm, stability conditions, programming aspects, absorbing boundary conditions.

CO5: Apply typical finite elements, Solution of two-dimensional Laplace and Poisson’s equations, solution of scalar Helmholtz equation.