Details of Grant 

EPSRC Reference:	GR/S07735/01
Title:	Green functions for diffuse photon density waves in layered biological tissues
Principal Investigator:	Ljepojevic, Dr N
Other Investigators:
Researcher Co-Investigators:	Ms M Shendeleva
Project Partners:
Department:	Engineering Systems
Organisation:	London South Bank University
Scheme:	Standard Research (Pre-FEC)
Starts:	01 October 2003	Ends:	30 September 2005	Value (£):	97,252
EPSRC Research Topic Classifications:	Complex fluids & soft solids Condensed Matter Physics Development (Biosciences)
EPSRC Industrial Sector Classifications:	Healthcare No relevance to Underpinning Sectors
Related Grants:
Panel History:	Panel Date Panel Name Outcome 29 Nov 2002 Mathematics Prioritisation Panel (Science) Deferred 29 Oct 2002 Physics Prioritisation Panel (Science) Oct 02 Deferred
Summary on Grant Application Form
Recent years have seen the intensive development of optical methods for human tissue diagnostics based on the use of scattering radiation in the form of diffuse photon density waves (DPDWs). The light scattered inside the body carries information on the scattering and absorbing properties of tissues, which are found to depend strongly on the kinds of tissue and their physiological state.The propagation of diffuse photon waves is usually described using a diffusion approximation to a radiative transport equation. In this project we will study DPDWs in a medium consisting of two different scattering semi-infinite layers separated by a plane interface. The focus of the project will be on the derivation of Green functions for DPDWs generated by a line source. The derivation will employ the Cagniard-de Hoop method adapted from elastic wave propagation. In our previous research this approach was successfully applied to thermal waves and the temperature Green functions expressed through the single integrals were obtained. The diffusion equation for DPDWs is more complicated than that for thermal waves as it contains both scattering and absorption terms. Nevertheless, it will be possible to derive single-integral DPDWs Green functions for certain combinations of scattering and absorption parameters. The plane photon diffuse waves of oblique incidence will also be considered. The properties of both plane and cylindrical diffuse waves, in particular the laws of reflection and refraction at the interface, will be studied.
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Organisation Website:	http://www.lsbu.ac.uk