[institut] Seminar Katedre za astronomiju - 24. oktobar 2017.
Katedra za astronomiju
astronom at poincare.matf.bg.ac.rs
Tue Oct 17 20:47:27 CEST 2017
Seminar iz astronomije i astrofizike
Lucio Crivellari
(INAF - Osservatorio Astronomico di Trieste &
Instituto de Astrofisica de Canarias)
"Alternative representations of the radiant energy transport"
utorak, 24. oktobar 2017. godine, u 18 sati, u ucionici 809.
NAPOMENA: Bice odrzana dva predavanja u trajanju od po 45 minuta sa
kratkom pauzom izmedju.
Abstract:
In alternative to the representation of the electromagnetic field
through the Maxwell's equation and its propagation in terms of the
corresponding wave equations, in this seminar we will consider a description
based on the corpuscular theory of light. Such an approach leads to a picture
analogous to that employed in fluid dynamics: the radiation field is assumed to
consist of rays (photon beams) characterized by their energy and direction of
propagation. The energy carried on by a ray is the fundamental observable of
the transport process. Its quantitative representation by means of a suitable
macroscopic quantity, namely the specific intensity of the radiation field,
makes it possible to go beyond the ray picture and paves the way to a much more
convenient mathematical formulation of radiative transfer (RT), widely used by
astrophysicists.
The propagation of the radiation field through a material medium, for
which we will adopt a semi-classical model based on the hypotheses of Planck,
Bohr and Einstein, will be formulated as a kinetic (Boltzmann) equation that
allows for the space-time evolution of the specific intensity of the radiation
field. All the physical information, described at microscopic level by proper
photon distribution functions, will be merged into a few macroscopic
coefficients that characterized any specific RT equation.
Eventually we will compare the description of the localization, energy
balance and transport of radiant energy, as formulated in the Maxwell's theory,
with the macroscopic representation in terms of the specific intensity of the
radiation field.
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DEPARTMENT OF ASTRONOMY
Faculty of Mathematics
University of Belgrade
Studentski trg 16
11000 Belgrade
Serbia
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