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Basically the steady-state diffusion equation can be written in a form
[itex] \nabla^2\phi\,+\,k^2\phi\,=\,S[/itex]
When S = 0, this is just the Helmholtz equation - http://mathworld.wolfram.com/HelmholtzDifferentialEquation.html
See also - http://www.math.ohio-state.edu/~gerlach/math/BVtypset/node107.html
To solve it, like any differential equation, one simply applies the boundary conditions.
I will add more later.
[itex] \nabla^2\phi\,+\,k^2\phi\,=\,S[/itex]
When S = 0, this is just the Helmholtz equation - http://mathworld.wolfram.com/HelmholtzDifferentialEquation.html
See also - http://www.math.ohio-state.edu/~gerlach/math/BVtypset/node107.html
To solve it, like any differential equation, one simply applies the boundary conditions.
I will add more later.
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