Integral-Equation Method for Modeling Transient Diffusive Electromagnetic Scattering
Evert C. Slob, Peter M. van den Berg, 1999. "Integral-Equation Method for Modeling Transient Diffusive Electromagnetic Scattering", Three-Dimensional Electromagnetics, Michael Oristaglio, Brian Spies
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Standard 3-D integral-equation methods using pulse expansion functions and point matching have difficulties with large contrasts in conductivity between the body and the host. We formulate a new expansion with rectangular building blocks and trilinear functions that more accurately models general current distributions inside the scattering body without increasing the number of unknowns. The formulation is in the frequency domain; to transform results to the time domain, we solve for the coefficients of an expansion of the decaying field in transients that are determined analytically by the behavior of an iterative solution of the integral equation. The method requires a modest number of frequencies and is stable and accurate even at late times.