EE545 Syllabus:

 

Review of electromagnetic theory (section 3.4.1 & 3.6.1 of reference 1)

Introduction to computational electromagnetics (section 1.2 of reference 3)

 

Method of Moments:

Integral formulation of electrostatics, Capacitance problem in unbounded 2D region (Section 10.3 of reference 3)

Electromagnetic scattering (Section 11.2.5 of reference 5 and Chapter 2 of reference 7),

Scattering on thin wires (Section 10.5 of reference 3),

Analysis of microstrip antennas and circuits, (Appendix A.2 of reference 4, chapter 7 of reference 2 & reference 11)

EM absorption in human body (Section 5.7 of reference 8 & reference 10)

Fast multipole method.

 

Finite difference methods:

Basic components of finite difference solvers, Wave equation: 1-D FDTD (Appendix A.1 and A.2 of reference 3)

2-D FDTD method (Appendix A.3 of reference 3)

3-D FDTD method (sections 5.2.2, 5.2.5 of reference 9)

Perfectly matched layer: 2-D Split-field, 3-D Uniaxial, CPML (section 8.5.3 and 9.5.3 of reference 1, reference 12, reference 13)

 

Finite element method:

Overview, Laplace/Poisson equation (2-D FEM) (6.2 and 6.3 of reference 8)

Boundary condition for FEM, (1.3.3 of reference 8)

Helmholtz equation (2-D FEM), (6.4 of reference 8)

Time domain FEM, (6.11 of reference 8)

Finite element method-boundary element method,

FEM/MOM hybrid,

 

 

References:

  1. J. M. Jin, Theory and Computation of Electromagnetic Fields, John Wiley & Sons, 2010.
  2. D. B. Davidson, "Computational Electromagnetics for RF and Microwave Engineering," Cambridge University Press, 2011.
  3. R. S. Kshetrimayum, Electromagnetic Field Theory, Cengage Learning India, 2012 {Errata}
  4. J. L. Volakis and K. Sertel, Integral Equation Methods for Electromagnetics, Scitech, 2012
  5. R. Garg, Analytical and Computational Methods in Electromagnetics, Artech House, 2008.
  6. K. F. Warnick, Numerical methods for engineering, SciTech, 2011.
  7. R. S. Kshetrimayum, Printed Periodic Waveguide Structures, VDM Verlag, 2009.
  8. M. N. O. Sadiku, Numerical Techniques in Electromagnetics, CRC Press, 2001.
  9. A. Bondeson, T. Rylander and P. Ingelstrom, "Computational Electromagnetics," Springer, 2005.
  10. D. E. Livesay and K. M. Chen, Electromagnetic fields induced inside arbitrary shaped biological bodies, IEEE Trans. Microw. Theory Tech., vol. 22, no. 12, Dec. 1974, pp. 1273-1280.
  11. S. G. Pan and I. Wolff, Scalarization of Dyadic Spectral Greens Functions and Network Formalism for Three-Dimensional Full-Wave Analysis of Planar Lines and Antennas, IEEE Trans. Microw. Theory & Tech., vol. 42, No. 11, Nov. 1994, pp. 2118-2120.
  12. http://sandeepkumar2006.tripod.com/FDTD3DPatchAntenna.pdf
  13. S. D. Gedney, Introduction to the Finite-Difference Time-Domain (FDTD) Method for Electromagnetics, Morgan & Claypool, 2011

Lecture slides:

 

FDTD