The normal vector \hat{\Omega}_n is directed out of the cylinder, so \hat{\Omega}_n is \frac{x\vec{i}+y\vec{j}}{\sqrt{x^2+y^2}} instead of only \vec{r}
No it's not, I am working in an Optical Radiology Lab, and this problem is well documented in a cartesian semi-infinite medium, where the Robin boundary condition is simply on z = 0 (quite easier, isn't it?). However for a certain application (that I cannot disclose) I need to solve it in...
Hi,
I am working on a quite difficult, though seemingly simple, non-homogeneous differential equation in cylindrical coordinates. The main equation is the non homogeneous modified Helmholtz Equation
\nabla^{2}\psi - k^{2}\psi =...