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Old May 6th 2017, 11:35 AM   #1
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Electric field of the Faraday cage

I have a function of the cartesian coordinates x, y, z such that:

f = a * ln|sin(px + iqy)| + by + c

This equation should be describing the electric field nearby the wall of the Faraday cage. I solved the Laplace equation Δf = 0 and got : p = +/- q, so p = q. I should choose the constants a, b, c, p, q such that my given function f is describing the homogenous electrostatic field E in the half-space y∠ 0 where the field is shielded by the conductig grounded rods. The distance between the rods is L. The diameter of the rods is d and this diameter is esentially smaller than L. But I am stuck here, I have no idea how to find the constants. I need to satisfy that my field is homogenous. I really don't know how to move forward with this. Thank you for helping me.
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