# Method of Images again

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• Oct 27th 2010, 06:25 PM
OliviaB
Method of Images again
Apply the method of images to derive the solution

$\displaystyle \phi(x,y,z) = \frac{z}{2 \pi} \int_{- \infty}^{\infty} \int_{- \infty}^{\infty} \frac{f(x_0, y_0)}{((x - x_0)^2 + (y - y_0)^2 + z^2)^{\frac{3}{2}}} dx_0 dy_0$

from

$\displaystyle \bigtriangledown^2 \phi (x,y,z) = 0$

$\phi(x,y,0) = f(x,y)$

from the region $- \infty < x < \infty, - \infty < y < \infty, 0 < z < \infty$

Its hard for me to start because I dont really understand the method of images.