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I am having a problem finding a Green's function to solve the Intensity Transport Equation (ITE).

The ITE is nabla^2 * phase = -k/I0 * dI/dz

Where phase is a function of (x,y) as is I the intensity. k and I0 are constants and dI/dz is the partial derivative of I with respect to z.

I am measuring the whole of the RHS of the equation in one fell swoop, so I just need a Green's function to solve nabla^2 * phase = Constant, so I can retrieve the phase from an intensity gradient I have calculated.

Can anyone help? The Green's function needs to satisfy Neumann boundary conditions with G( (x,y) , (x',y') ) being defined by it's Laplacian.

ie. Nabla ^2 G = dirac (r - r').

Anyone know any good Green's functions or how to implement them?

I'm turning a little Green here!

Many thanks,

Bob

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# Green's functions solution to Poisson's eqn (or something similar)

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