A jewelry maker has asked your glass studio to produce a sheet of dichroic glass that will appear red (wavelength=692 nm) for transmitted light and blue (wavelength=519 nm) for reflected light. If you use a MgF2 coating (n=1.39), how thick should the coating be.
for constructive interference: lambda = (2nd)/m
for destructive interference: lambda = (2nd)/(m-.5)
The Attempt at a Solution
Both constructive and destructive interference of the reflected waves are required here, at different wavelengths. I think we need to minimize the red for reflection and maximize the blue. I really don't know how to make sense of this problem. I'm sorry I don't have a better attempt. I will really appreciate any help you can offer. Thanks so much!