Lines of dipoles are an important class of 3-D theoretical bodies and are often used to model the effects due to narrow, elongated magnetic bodies of limited depth extents in the interpretation of magnetic data. The application includes geologic bodies such as mineralized veins and pipes, as well as nongeologic bodies such as well casings. Though closed-form expressions for the magnetic effects of such a finite line of dipoles are available in the published literature, the cases treated are quite restricted, i.e., the expressions are given for the line either parallel or perpendicular to the plane of observation (e.g., Nettleton, 1942, Hall, 1959, Singh and Sabina, 1978) or for the line inductively magnetized and dipping in the direction of the earth's magnetic field (e.g., Henderson and Zeitz, 1967).

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