Hi, please help me with this chemistry problem!

Note: Please show all your work! Thank you!

3. Consider the design of a Fabry-Perot interference filter consisting of two sapphire plates, each 1mm in thickness, two thin Ag layers that are 88% transmissive each, and a LaSFN9 glass dielectric layer. a. How thick (in m ) should this dielectric layer be in order to transmit =501.7nm in the first order for light incident along the filter normal? b. Estimate the overall transmittance of this filter at its peak throughput of 501.7nm ? (NOTE: Transmittance data provided for sapphire includes losses from reflection; assume transmittance is independent of thickness.) LaSFN9 Glass External transmission for 10-mm-thick LaSFN9 glass