Reflectance Optical Tomography in Epitelial Tissues Articles uri icon

publication date

  • June 2009

issue

  • 1

volume

  • 25

international standard serial number (ISSN)

  • 0266-5611

electronic international standard serial number (EISSN)

  • 1361-6420

abstract

  • We seek to reconstruct an absorbing obstacle contained within the top layer of a two-layer halfspace from boundary
    measurements of backscattered light. This problem is a model for
    detecting early stages of cancer development in thin epithelial tissues
    that reside on top of thick stromal tissues. For the direct obstacle
    scattering problem, we use a combination of the discrete ordinate method
    with a pseudo-spectral/finite difference method to compute numerical
    solutions. For the inverse obstacle scattering problem, we use the first
    Born approximation to compute an explicit solution for a thin obstacle.
    Using that solution, we seek a numerical fit to the data to determine
    the depth of the obstacle. Using that recovered depth, we then seek a
    reconstruction of its transverse spatial distribution.