Description
Book SynopsisThe main idea behind this book is to present a rigorous derivation of the equations that govern light propagation in highly scattering media, with an emphasis on their applications in imaging in biology and medicine. The equations and formulas for diffuse light propagation are derived from the very beginning, and all the necessary analytical expressions needed to complete a complex imaging or characterization problem are presented step by step.This book provides postgraduate and PhD students with the basic framework and sufficient knowledge in light transport and the related mathematical methods to solve most complex problems that may appear in biomedical applications involving multiple scattered light. All results presented are formal analytical derivations from the complete problem, presenting, in those cases which are relevant, approximations to these expressions.
Table of ContentsScattering and Diffusion; The Radiative Transfer Equation; The Diffusion Approximation; Clouds and Egg White: Examples of Light Diffusion in Nature; The Diffusion Equation; Spatial Resolution of Diffuse Light; Reflection and Transmission of Diffuse Light; Index Matched Diffusive/Diffusive Interfaces; Index Mismatched Diffusive/Diffusive Interfaces; Diffusive/Non-Diffusive Interfaces; Multi-Layered Diffusive Media; Diffuse Light in Highly Absorbing Media; Integral Equations for Diffuse Light in Complex Geometries; Removal of Boundaries in Diffuse Media; Numerical Solvers: The Solution for Complex Boundaries; Diffuse Light Propagation in Free Space; Fluorescence in Diffuse Media; Pulsed Light Propagation in Diffuse Media; Imaging in Diffusive Media: The Inverse Problem; Tissue Characterization Using Diffuse Light; Diffuse Optical Tomography and Fluorescence Molecular Tomography;
