Lecture

Radiative Transport Equation

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In course

CH-448: Photomedicine

The most important clinical diagnostic and therapeutic applications of light will be described. In addition, this course will address the principles governing the interactions between light and biological tissues, their optical properties and basic concept ...

Description

This lecture covers the Radiative Transport Equation (RTE) in the context of tissue optics, exploring the dualism of light as both an electromagnetic wave and a stream of photons. It delves into the concept of radiance, photon distribution function, and the RTE, explaining how to solve it using numerical techniques like Monte Carlo simulations. The diffusion approximation and Kubelka-Munk theory are discussed as approximations to solve the RTE for different scenarios. The lecture also details the process of Monte Carlo simulations for light transport in turbid media, emphasizing the random sampling of propagation variables and termination criteria for photon packages.

Instructor

Georges Wagnières

Georges Wagnières received his diploma degree (MSc) in physics from the University of Lausanne, Switzerland, in 1986. He obtained his doctorate in science (PhD) in physics (Biomedical optics) from the Swiss Federal Institute of Technology at Lausanne (EPFL) in 1992 and did a postdoctoral work in the Wellman Laboratories of Photomedicine (Harvard Medical School), Boston, USA, from 1993 to 1994. He also obtained a Master degree in Management of Technology delivered by the Ecole des Hautes Etudes Commerciales (HEC) of Lausanne University and the EPFL in 2001. Georges Wagnières manages a research group active in the fields of: - Detection of early superficial cancers by fluorescence imaging. - Characterization of early superficial cancers by high magnification narrow band imaging. - In vivo and in vitro measurement of the vascular and tissular oxygen concentration by time-resolved luminescence spectroscopy and imaging. - Preclinical and clinical study of new photosensitizers for photodynamic therapy (PDT). - Treatment of neurodegenerative conditions (Alzheimer, Parkinson's diseases) by photobiomodulation. - Preclinical and clinical photodynamic therapy of inflammatory bowel diseases and atheroscerotic plaque. - Improvement of the selective vascular extravasation of chemotherapeutic agents by PDT. - Monitoring the light dosimetry during PDT by fluorescence spectroscopy and imaging. - Monitoring laser treatments of the retina by reflectance imaging. - Light dosimetry and tissue optical spectroscopy. - Radiometry. - Development of light delivery systems for biomedical applications. Georges Wagnières is also co-founder and was chairman of one spin-off companies: - Medlight SA, founded in July 1997, which develops, produces and commercializes light distributors for photodynamic therapy. Georges Wagnières has currently authored more than 235 papers (more than 150 in international journals with review board) and is inventor of 18 patents. He supervised 12 PhD students up to now, and currently teaches biomedical optics and photomedicine in master programs and doctoral schools. In addition, he gives the course entitled "Physique Générale I" to biology first year students registered to the Biology School of the Lausanne's University. MAIN PUBLICATIONS Please visit: https://www.epfl.ch/labs/lifmet/wagnieres/publications/

Official source

Related concepts (32)

Scattering

Scattering is a term used in physics to describe a wide range of physical processes where moving particles or radiation of some form, such as light or sound, are forced to deviate from a straight trajectory by localized non-uniformities (including particles and radiation) in the medium through which they pass. In conventional use, this also includes deviation of reflected radiation from the angle predicted by the law of reflection.

Brillouin scattering

Brillouin scattering (also known as Brillouin light scattering or BLS), named after Léon Brillouin, refers to the interaction of light with the material waves in a medium (e.g. electrostriction and magnetostriction). It is mediated by the refractive index dependence on the material properties of the medium; as described in optics, the index of refraction of a transparent material changes under deformation (compression-distension or shear-skewing).

Raman scattering

Raman scattering or the Raman effect (ˈrɑːmən) is the inelastic scattering of photons by matter, meaning that there is both an exchange of energy and a change in the light's direction. Typically this effect involves vibrational energy being gained by a molecule as incident photons from a visible laser are shifted to lower energy. This is called normal Stokes Raman scattering. The effect is exploited by chemists and physicists to gain information about materials for a variety of purposes by performing various forms of Raman spectroscopy.

Numerical analysis

Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods that attempt at finding approximate solutions of problems rather than the exact ones. Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences, medicine, business and even the arts.

Numerical methods for partial differential equations

Numerical methods for partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations (PDEs). In principle, specialized methods for hyperbolic, parabolic or elliptic partial differential equations exist. Finite difference method In this method, functions are represented by their values at certain grid points and derivatives are approximated through differences in these values.

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Radiative Transport Equation

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Radiative Transfer in Participating Media: Key Concepts and Equations

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Monte Carlo Methods in Thermal Radiation: Applications and Solutions

Discusses the application of Monte Carlo methods to thermal radiation and energy transfer in participating media.

Radiative Properties of Scattering: Rayleigh and Mie Theory

Discusses the radiative properties of particles, focusing on Rayleigh and Mie scattering theories and their applications in understanding light behavior.

Tissue Optics