Governing equation: Flux = ∫Intensity * cos(q) dΩ

∫
∫ Intensity* cos(q)sin(q) dq df

2p

p/2

0

0

In spherical coordinates:

Flux =

Solving the integral using m= cos(q) gives us:

Flux = Intensity * Ω

To go from the spectrum from *VisRad*
to a boosted up spectrum:

Flux (Dante at the LEH) = Flux (Dante from *VisRad*)*
p
/Solid Angle of the LEH

So our correction factor to convert the Dante
spectrum from *VisRad* to the Dante spectrum at the LEH is

p/(Solid
Angle of the LEH) = 1.962 x 106 (in
our simulation, the
DANTE surface is at 100 cm)

Converting the *VisRad* DANTE spectrum to the DANTE spectrum
at the LEH

Note: A similar correction is made to
the radiation temperature on DANTE calculated by *VisRad*.
See http://astro.swarthmore.edu/~cohen/presentations/DANTE-convfac- VisRad.pdf for more details on these corrections.