Electric field of the Faraday cage
I have a function of the cartesian coordinates x, y, z such that:
f = a * lnsin(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 halfspace 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.
