wiki:PolarizationMaps

Version 4 (modified by Jonathan, 7 years ago) ( diff )

Goal is to integrate various functions along lines of sight which is constrained to be in the y-z plane.

Each pixel will be given by the integral of the function along the path

where

For 3D we just need to create the expressions in visit, create the lineouts, and then integrate the resulting query

For 2.5D, we need to transform the integral along into an integral in the plane.

the value at is the same as the value rotated into the xy plane at

or at

where

and

so we can write the integral as

$\int F(x'(s)

and we have

which under the substitution gives

Assume jet is oriented along and that we are integrating along the direction

where is the angle of inclination.

We are interested in calculating the integral of , , and where

If this is just , , and

If then we have to tilt the integral and calculate using the expression above.

Note: See TracWiki for help on using the wiki.