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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.

Green’s Functions: Green’s function technique for the solution of partial differential equations, classification of Green’s functions, various methods for the determination of Green’s functions including Fourier transform technique and Ohm-Rayleigh technique, dyadic Green’s functions, determination of Green’s functions for free space, transmission lines, waveguides, and microstrips.

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

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

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

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

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

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

6. Taflov, A. and Hagness, S.C., “Computational Electrodynamics”, 3rd Ed., Artech House.

References

Same as Textbooks