The surface integral formalism is used to derive the integral equations for the scattering of diffusive waves, which account for the contribution of object boundaries and interfaces between media and which are numerically solved without approximations. The extinction theorem and other surface integral theorems for diffusive waves are introduced to obtain the boundary values of both the photon density wave and the photon density current. We present this theory and apply it to the simulation of diffusive objects buried in diffusive media in the presence of rough interfaces.
© 1999 Optical Society of America
J. Ripoll and M. Nieto-Vesperinas, "Scattering integral equations for diffusive waves: detection of objects buried in diffusive media in the presence of rough interfaces," J. Opt. Soc. Am. A 16, 1453-1465 (1999)