FDFD: A 3D finite-difference frequency-domain code for electromagnetic induction tomography. A new 3D code for electromagnetic induction tomography with intended applications to environmental imaging problems has been developed. The approach consists of calculating the fields within a volume using an implicit finite-difference frequency-domain formulation. The volume is terminated by an anisotropic perfectly matched layer region that simulates an infinite domain by absorbing outgoing waves. Extensive validation of this code has been done using analytical and semianalytical results from other codes, and some of those results are presented in this paper. The new code is written in Fortran 90 and is designed to be easily parallelized. Finally, an adjoint field method of data inversion, developed in parallel for solving the fully nonlinear inverse problem for electrical conductivity imaging (e.g., for mapping underground conducting plumes), uses this code to provide solvers for both forward and adjoint fields. Results obtained from this inversion method for high-contrast media are encouraging and provide a significant improvement over those obtained from linearized inversion methods

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  1. Liang, Jiawei; Tong, Defu; Tan, Fei; Jiao, Yu-Yong; Yan, Chongwei: Two-dimensional magnetotelluric modelling based on the numerical manifold method (2021)
  2. Lu, Lu; Pestourie, Raphaël; Yao, Wenjie; Wang, Zhicheng; Verdugo, Francesc; Johnson, Steven G.: Physics-informed neural networks with hard constraints for inverse design (2021)
  3. Liu, Fei; Ying, Lexing: Sparsifying preconditioner for the time-harmonic Maxwell’s equations (2019)
  4. Shin, Wonseok; Fan, Shanhui: Choice of the perfectly matched layer boundary condition for frequency-domain Maxwell’s equations solvers (2012)
  5. Tsuji, Paul; Ying, Lexing: A sweeping preconditioner for Yee’s finite difference approximation of time-harmonic Maxwell’s equations (2012)
  6. Pourmahayabadi, M.; Nejad, S. Mohammad: Design of ultra-low and ultra-flattened dispersion single mode photonic crystal fiber by DE/EDA algorithm (2009)
  7. Chabory, A.; de Hon, B. P.; Schilders, W. H. A.; Tijhuis, A. G.: Fast transform based preconditioners for 2D finite-difference frequency-domain. Waveguides and periodic structures (2008)
  8. Delbary, Fabrice; Erhard, Klaus; Kress, Rainer; Potthast, Roland; Schulz, Jochen: Inverse electromagnetic scattering in a two-layered medium with an application to mine detection (2008)
  9. Dorn, Oliver; Bertete-Aguirre, Hugo; Papanicolaou, George C.: Adjoint fields and sensitivities for 3D electromagnetic imaging in isotropic and anisotropic media (2008)
  10. Champagne, Nathan J. II; Berryman, James G.; Buettner, H. Michael: FDFD: A 3D finite-difference frequency-domain code for electromagnetic induction tomography (2001)