correct, i did not. i demonstrated that the Sun's spotlight cannot illuminate only parts of the Earth at a time. the spotlight would still cast light on the entire FE. that is it actual problem with the spotlight-Sun model (among others)
As light passes through the atmosphere, it gets scattered, or faded, or something of the sort. Therefore, the light would be more concentrated at the closest point to the Sun on the Earth.
even so, the light would still be visible (even though dimmer) from all places on the FE.
again, this is not observed.
also, the phenomenon you mentioned is called Compton Scattering, which scatters light by the following equation:
L' - L = h/(mc) ( 1 - cos(A) ),
where
L' is the final wavelength of the light,
L is the initial wavelength,
h is Planck's constant (h = 6.626 * 10^(-34) J s),
m is the mass of the object it scatters off (typically an electron; m = 9.11 * 10^(-31) kg),
c is the speed of light (c = 3.00 * 10^8 m/s), and
A is the angle that the light is scattered.
However, the light doesn't get faded at all, it still has the same intensity. it only shifts in wavelength, so the color changes.
So actually, the Compton Effect would spread the light out more, making the distribution of light more even, not more concentrated.
Thus, the Compton Effect is a bigger problem for FET.