University of Delaware - College of Engineering


Photonics & Electromagnetics

Time-domain integral equation methods for the solution of Maxwell's Equations

Daniel Weile

While methods for solving the Maxwell equations on computers have existed since the late 1960s, most work has been concentrated on three techniques: the method of moments (MoM), the finite element method (FEM), and the Finite Difference Time Domain Method (FDTD). These methods differ whether they solve differential or integral equations, and whether they work in the time or frequency domain. Time domain integral equations (TDIE) methods, though certainly known for just as long, have had historical problems with efficiency and stability and so were ignored. TDIEs are important because in principle they would the best method for certain classes or important problems involving electromagnetic interference or microelectromechanical structures. In this work, Prof. Weile's group is seeking accurate and efficient methods of solving the time domain integral equations of electromagnetics. The figure above shows the scattering from a small corner reflector, and is just one example of the kind of results attainable from this work.

Recent publications

G. Pisharody and D. S. Weile, "Electromagnetic scattering from homogeneous dielectric bodies using time-domain integral equations," IEEE Trans. Antennas Propagat., vol. 54, no. 2, pp. 687-697, 2006.

R. A. Wildman and D. S. Weile, "Two-dimensional transverse-magnetic time-domain scattering using the Nystrom method and bandlimited extrapolation," IEEE Trans. Antennas Propagat., vol. 53, no. 7 , pp. 2259-2266, 2005.

A. Mohan and D. S. Weile, "Accurate modelling of the cylindrical wire kernel," Microwave and Optical Technology Letters, vol. 48, no. 4, pp. 740-744, 2006.

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