  In this paper a generalized fundamental solution using the boundary element
method to solve the Helmholtz equation is proposed. It is observed that the
commonly used fundamental solution is only valid for good conductors since the
capacitive effect of the considered medium is always neglected. By the use of
the well-known Lorentz gauge condition a fundamental solution which
incorporates the phase as well as the attenuation transmission coefficients is
derived by the authors. Next, a model is developed using this proposed
fundamental solution for modelling a coating layer of a buried pipeline.
Subsequently, a model of a buried coated pipeline in close proximity to a high
voltage power line is developed and numerically implemented. Finally, the model
is used to simulate two configurations in order the verify the proposed general
fundamental solution of the boundary element method for electromagnetic field
problems. Hereby, its validity is proven and it is shown that the generalized
solution and related model can be used for industrial applications.
