Difference between revisions of "Rayleigh scattering"

Revision as of 14:54, 28 September 2022

in optcv.F90 :

TRAY(K,NW) = TAURAY(NW) * DPR(K)

Let's write it :

TRAY \( \displaystyle = \tau_{RAY}(\lambda) dP\)

We write \( \displaystyle TRAY = \tau_{RAY} dP\)

TAURAY(NW) is calculated in calc_rayleigh.F90

TRAY \( \displaystyle = \sigma_{exok} dN \) with dm in kg/m2

TRAY \( \displaystyle = \sigma_{exok} \frac{dm}{m_{molecule}} \) with dm in kg/m2

TRAY \( \displaystyle = \frac{\sigma_{exok}}{g * m_{molecule}} dP\)

so

\( \displaystyle \tau_{RAY}(\lambda) = \frac{\sigma_{exok}}{g * m_{molecule}} \)

TAURAY(NW) \[ \displaystyle \tau_{RAY} = \frac{\int \tau(\lambda) B_{\lambda} \, \mathrm{d}\lambda}{\int B_{\lambda} \, \mathrm{d}\lambda} \]

\( \displaystyle \tau(\lambda) \) is called TAUVAR

@@ Line 25: / Line 25: @@
 TAURAY(NW) is calculated in calc_rayleigh.F90
-TAURAY(NW) : <math> \displaystyle \tau_{RAY} = \frac{\int \tau(\lambda) B_{\lambda} \, \mathrm{d}\lambda}{\int B_{\lambda} \, \mathrm{d}\lambda} </math>
-<math> \displaystyle \tau(\lambda) </math> is called TAUVAR
-For a given <math> \displaystyle \lambda </math>, we have <math> \displaystyle TAURAY(\lambda) = \tau(\lambda) dP </math>
-here
 TRAY <math> \displaystyle = \sigma_{exok} dN </math> with dm in kg/m2
@@ Line 43: / Line 35: @@
 <math> \displaystyle \tau_{RAY}(\lambda) = \frac{\sigma_{exok}}{g * m_{molecule}} </math>
+TAURAY(NW) : <math> \displaystyle \tau_{RAY} = \frac{\int \tau(\lambda) B_{\lambda} \, \mathrm{d}\lambda}{\int B_{\lambda} \, \mathrm{d}\lambda} </math>
+<math> \displaystyle \tau(\lambda) </math> is called TAUVAR