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This paper describes in detail the construction of a local right-handed,orthogonal curvilinear coordinate system whose axes are along the localtangent, the local azimuth and the local normal of an analytically defined 3Dsurface of rotation, whose shape mimics the shape of a plasma focus currentsheath. Expressions for various differential operators are derived in atutorial format for the benefit of young researchers and non-specialists.Physical problems expressed in this coordinate system would benefit from thenatural symmetry properties of the plasma focus sheath. For example, the normalcomponent of current density is zero and the velocity has mainly the normalcomponent. This paper is meant to serve as a readily available reference in thehope that it would be found useful.

On the construction of a local curvilinear coordinate system conforming to the native curved geometry of the plasma focus sheath