Seminar Event Detail

Applied Interdisciplinary Mathematics (AIM)

Date:  Friday, February 06, 2015
Location:  1084 East Hall (3:00 PM to 4:00 PM)

Title:  Origins of the radiative transfer equation for light

Abstract:   In complex inhomogeneous media, such as clouds or milk, the mathematical description of light propagation varies depending on the scale one is interested in. At the scale of the optical wavelength, the Maxwell equations hold and the electric field satisfies a wave equation. At larger scales, light intensity propagation is described by the Radiative Transfer Equation (RTE), that stems from a phenomenological approach analog to Boltzmann's kinetic laws for gas. In this talk, we will derive the RTE from the scalar wave equation using two different approaches. The first method is based on diagrammatic perturbation theory, while the second stems from an asymptotic multiscale expansion. Although the two method are quite distinct mathematically, some common ground can be found and is discussed.


Speaker:  Alexandre Cazé
Institution:  University of Michigan

Event Organizer:   AIM Seminar Organizers


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