Two_Sphere_R

iadpython.sphere.Two_Sphere_R(RS, TS, UR1, URU, UT1, UTU, f=0)

Total gain in R sphere for two sphere configuration.

The light on the detector in the reflection sphere arises from three sources: the fraction of light directly reflected off the sphere wall

\[f r_w^2 (1-a_e) P,\]

the fraction of light reflected by the sample

\[(1-f) r_{direct} r_w^2 (1-a_e) P,\]

and the light transmitted through the sample

\[(1-f) t_{direct} r_w' (1-a_e') P,\]

If we use the gain for each part then we add

\[G_{11} a_d (1-a_e) r_w^2 f P\]

to

\[G_{11} a_d (1-a_e) r_w (1-f) r_{direct} P\]

and

\[G_{21} a_d (1-a_e') r_w' (1-f) t_{direct} P\]

which simplifies slightly to the formula used below