Light reflecting off a mirror actually penetrates a short distance into the mirror surface material. In metals, this distance is very short (much less than a wavelength) and so can be neglected. But metals tend to also absorb ~10% of the light, which is undesirable. Today’s modern multilayer dielectric coatings, on the other hand, don’t absorb any light, but light tends to penetrate further into them, usually further for the ppolarization than for the s-polarization. Suppose that light at a wavelength of 1um with 45 degree linear polarization reflects off a dielectric-coated mirror (let n = 2 for both polarizations in the dielectric coating). If the ppolarization penetrates 2um into the dielectric material, and the spolarization only penetrates 1.875um, what will be the polarization of the reflected light? What if the light has a wavelength of 500nm (use the same refractive indices and penetration depths)? Write down Jones matrices for the mirror for the two cases. I know (sorry for poor formatting) JQ=1√2⋅(1+icos(2θ) isin(2θ) isin(2θ) 1−icos(2θ)) but I'm not sure how to use the wavelength or n to solve this - or even how it relates to the different polarizations (aside from the ones in the chart at https://en.wikipedia.org/wiki/Jones_calculus). Any help would be much appreciated! Thank you.