Open AccessThree-dimensional transient electromagnetic modeling in the Laplace Domain
Author(s) -
Hideki Mizunaga,
Ki Ha Lee,
H.J. Kim
Publication year - 1998
Language(s) - English
Resource type - Reports
DOI - 10.2172/6535
Subject(s) - laplace transform , finite difference time domain method , discretization , maxwell's equations , conjugate gradient method , finite difference method , computational electromagnetics , electromagnetic field solver , mathematics , mathematical analysis , finite difference , time domain , electromagnetic field , computer science , algorithm , inhomogeneous electromagnetic wave equation , physics , optical field , quantum mechanics , computer vision
In modeling electromagnetic responses, Maxwell's equations in the frequency domain are popular and have been widely used (Nabighian, 1994; Newman and Alumbaugh, 1995; Smith, 1996, to list a few). Recently, electromagnetic modeling in the time domain using the finite difference (FDTD) method (Wang and Hohmann, 1993) has also been used to study transient electromagnetic interactions in the conductive medium. This paper presents a new technique to compute the electromagnetic response of three-dimensional (3-D) structures. The proposed new method is based on transforming Maxwell's equations to the Laplace domain. For each discrete Laplace variable, Maxwell's equations are discretized in 3-D using the staggered grid and the finite difference method (FDM). The resulting system of equations is then solved for the fields using the incomplete Cholesky conjugate gradient (ICCG) method. The new method is particularly effective in saving computer memory since all the operations are carried out in real numbers. For the same reason, the computing speed is faster than frequency domain modeling. The proposed approach can be an extremely useful tool in developing an inversion algorithm using the time domain data