Hi,
I'm building an optical instrument that points a 850nm LED at a boundary between two materials at an oblique angle, and measures the (specular) reflection with a photodiode at the same (opposite) angle.
The first few prototypes are working well but I want to compare the performance I'm getting with the theoretical limits. My starting point is the Fresnel equations, but the part I'm having trouble with is that they give separate results for the s and p polarizations. How do I combine the two into a total reflected power?
As the incident angle approaches the critical angle for total reflection, both the s and p numbers approach unity, so clearly I can't just sum them, or take the vector sum, or I would get an answer greater than 1. Average? Use the highest of the two?
I'm assuming here that the photodiode detector (Osram SFH2700) has a response that's insensitive to polarization, but happy to be corrected on this point.
I have a copy of "Building Electro-Optical Systems" but there's clearly something I'm missing. Google is not much help either, it finds pretty- much exactly the same question (but for microwaves rather than IR) from two years ago, and no replies.
TIA
Rhydian (who should probably have paid more attention in electromagnetics classes
30 years ago)