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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