The Kirchhoff approximation in diffusive media with arbitrary geometry

Jorge Ripoll, Vasilis Ntziachristos, Joe Culver, Arjun G. Yodh, Manuel Nieto-Vesperinas

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)134-140
Number of pages7
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - 2001
Externally publishedYes


  • Image reconstruction techniques
  • Light propagation in tissues
  • Photon density waves
  • Photon migration
  • Tomography


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