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A numerical method has been developed to simulate the electromagnetic (EM) response of a 3-D earth to a dipole source at frequencies ranging from 100 Hz to 100 MHz. The problem is formulated in the frequency domain with a modified vector Helmholtz equation for the scattered electric fields. The differential equation is approximated on a staggered finite-difference grid, giving a sparse complex symmetric matrix equation. The system is solved by a preconditioned quasi-minimum–residual method.

Dirichlet boundary conditions are imposed at the edges of the mesh by setting the tangential electric fields equal to zero. At frequencies less than 1...

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