Kirchhoff approximation in diffusive media with arbitrary geometry

Due to the fact that the Kirchhoff Approximation (KA) does not involve matrix inversion for solving the forward problem, it is a very useful tool for quickly solving 3D geometries of arbitrary size and shape. Its potential mainly lies in the rapid generation of Green?s functions for arbitrary geometries, which is key to tomography techniques. We here apply it to light diffusion and study its limits of validity, proving that it is a very useful approximation for diffuse optical tomography (DOT). Its use can improve the existing imaging techinques for real time diagnostics in medicine.

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