ABSTRACT
We consider a domain Ω with boundary ∂Ω. Experiments are performed by applying inwardly directed photon currents J−(rs),rs ∈ ∂Ω and measuring outgoing photon currents J+(rm),rm ∈ ∂Ω. In the “noncontact” application, these functions are applied and/or measured by free-space propagation from ∂Ω to an exterior surface Σext. ™e propagation of light inside the domain is governed by a dižerential operator (x) parameterized by functions x(r),r ∈ Ω. For a particular applied source current Ji− , the measureable current is found by solving
L ( )x Ui = 0 (17.1)
=U Ji i (17.2)
= B (17.3)
17.1 Introduction .............................................................................................................................337 17.2 De›nition of Problems in Optical Tomography .................................................................337
