This is
a java applet to solve the threedimensional radiative transport equation (RTE) with anisotropic scattering
without any approximation.
This was done as an
REU project at the math
department of University of Michigan. The project report is found
here. The applet calculates and plots the density of light as a
function of the distance from the source when a point source is placed at
the origin of an infinite random medium. The calculation is based on
arXiv:1304.1941. Give μ
_{a},
μ
_{s}, and g, and then click
Graph. Enjoy!
The description of the java applet is found below.
Mihai V. Avram (Purdue University) and
Manabu Machida (University of Michigan)

Ann Arbor, Michigan, July 2013

Theory
The specific intensity
of light in a threedimensional infinite medium with a point source at
the origin obeys the following RTE.
where
Here we assume linear scattering and the scattering phase function is given by
The energy density U is obtained as
where v is the speed of light in the medium.
Since U is spherically symmetric, we measure U along the
zaxis.
We have
See the report for further details.

Input

μ_{a}: the absorption coefficient ( > 0 ).

μ_{s}: the scattering coefficient ( > 0 ).

g: the scattering asymmetry parameter ( 0 ≤ g ≤ 1 ).
* The computation might be difficult for
μ_{a} >> μ_{s}
since in this case U becomes very small.

Output
In the left panel, we plot
In the right panel,
are shown.

Change log
[July 24, 2013]

The link to the project report was added.
[July 15, 2013]

The EZRTE was first released.