Modeling line sources (2D)


I'm trying to compare (Lumerical) FDTD results for a magnetic line source in a free-space medium to compare it with analytical Green's function results. The Green's function formula that I'm using, derived for an unit magnetic current density, is:

Nevertheless, Lumerical defines unit dipole amplitudes with respect to dipole moments. How can I efficiently normalize this expression to to represent a 2D dipole with an unit moment/amplitude? (Lumerical essentially defines magnetic line current as a 2D dipole with units of A*m. I'm also finding the moment description in this case very confusing, since the direction of current flow is in the axis of translational invariance). Thanks.

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