Fancy background subtraction: an initial look

As indicated last week, some spare time has been spent trying to re-derive a correction for separating sample container scattering from the sample itself. Normally, a simple background subtraction suffices, but for those who want to go the extra mile (and in particular for those working with strongly absorbing sample containers and samples), you need something a bit more fancy.

Here’s a quick initial derivation (which has not yet been thoroughly checked) for doing such a fancy background subtraction. It leans heavily on the previous work involving the sample self-absorption correction, which I would recommend glancing over in case you are not familiar with it.

Unfortunately, I have not yet been able to spend a lot of time on it, so it is still a bit rough around the edges. The correction corrects for absorption and sample thickness at the same time, which needs to be taken into account during the implementation phase (this will be implemented in the imp2 data correction procedures in due time). Please take a look at the derivation itself here.