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The Holland and Simpson thin wire formalism is a versatile technique to deal with wires in the FDTD method. This paper develops an approach to correctly perform a junction between several wires at any Yee's cell location. The application context is the wires parallel to Cartesian axes with any translation in the Yee's Cell. The sensitivity of the thin wire current to Cartesian shift is also minimized in our enhanced formalism. The method is presented in a general framework with non-uniform FDTD spatial steps. Beside, the wire segment length can be different of the FDTD spatial steps and also the wire position does not need to coincide with any edge or node of the Yee's cell.