Analytical modeling of a non-axisymmetric geometry, typically found in eddy-current NDT, requires the fields to be formulated via the second order vector potential, which is expressed in terms of the transverse electric (TE) and transverse magnetic (TM) potentials. The potentials have a modal expansion in Fourier space involving modified Bessel functions with their corresponding (modal) coefficients. Generally, for tube structures inspected with non-axisymmetric coil, both TE and TM modes exist in the conductor and the modal coefficients are coupled, hindering the analytical formulation of the incident electric and magnetic fields. In this work we propose a numerical approach, by discretizing the continuity boundary condition across the interface, to numerically determine all the modal coefficients. This approach not only enabled the computation of coil impedance, but also the computation of the incident fields in all the layers. In this work, we have considered modeling a hollow tube structure with a rectangular excitation coil, placed either inside or outside the tube, and semi-analytically determine the coil’s response signals. The numerically predicted modal coefficients are validated indirectly by comparing the prediction of coil impedance, incident magnetic flux density and incident eddy-current density with experimental measurements and/or finite element method (FEM) simulations. The proposed technique can be extended to a multi-layer tube geometry.
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