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Simulating an infinite long current density source using FDTD

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peponas

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Hi,
I face a quite challenging problem...I am interested in simulating a current source with infinite length, inside a waveguide with finite length, terminated by two CFS-PML layers. The current source is in the form of hollow surface with components on x,y, and z axis, varying with the time arbitrarily. I have implemented sources both in the regular non-pml formulation as well as in the PML region. However, since the current distribution has a starting and an ending point, edge effects (such as end charging) appear. My question comes to this exact point...what boundary conditions do I need in order that the current density distribution to represent a current distribution with infinite length?
 

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