- #1
Beth N
- 41
- 4
Homework Statement
This is a 2 part question. I have a follow up question from the problem
1. A sheet of glass having an index of refraction of 1.40 is to be coated with a 187-nm thick film of material having a refractive index of 1.55 such that yellow light with a wavelength of 580nm (in vacuum) incident normally is preferentially transmitted. Are other parts of the visible light spectrum also preferentially transmitted?
2. A sheet of glass having an index of refraction of 1.40 is to be coated with a 187-nm thick film of material having a refractive index of 1.55 such that yellow light with a wavelength of 580nm (in vacuum) incident normally is preferentially transmitted. Will the transmission of any color be sharply reduced? If so, which color?
Homework Equations
Constructive interference:
##2t= \frac {m \lambda_{air}} {n_{film}}## where m is number of reflective phase change = 0,2,4...
##2t= \frac {(m+ {\frac {1} {2}}) \lambda_{air}} {n_{film}}## where m= 1,3, 5...
The Attempt at a Solution
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The answer is given in the picture, which shows that yellow is preferentially transmitted, and violet is preferentially reflected. My question is, what about other colors within the visible spectrum? Can I say that for yellow and violet, the effect is 100%, while all other colors (like red, green...) has some component that are reflected and some are transmitted?
I guess I'm confused on the wording "preferential". Does preferential mean the effect is 100%?
Thank you so much!