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International audienceThe paper has two different objectives. The first one is to  show that Ampere’s double layer method, which is equivalent  to one of the Maxwell equations, leads to the integration of a  simple closed form expression, thus avoiding the need to solve  complicated partial differential equations. The second aim is  to study the case of a zero volume defect in a NDE problem by  a perturbation method and the introduction of a double layer.  The combination of these two techniques leads to a very fast  solution of the problem. A practical example includin

Reconsidering Ampere’s Double Layer Representation for Magnetic Field, Evaluation in a NDE Dection of a zero volume crack