Wavelength in the visible spectrum most strongly transmitted

AI Thread Summary
The discussion focuses on calculating the wavelength in the visible spectrum that is most strongly transmitted through a magnesium fluoride-coated camera lens. The initial calculation using the formula λ = 2nt/m resulted in an incorrect wavelength of 297 nm. Participants emphasize the importance of considering the refractive indices at each surface of the film and lens. A correct approach must account for the phase change upon reflection and the appropriate order of interference. Understanding these factors is crucial for accurately determining the transmitted wavelength.
xamy
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Homework Statement


A camera lens (n = 1.29) is coated with a thin film of magnesium fluoride (n = 1.71) of thickness 87.0 nm. What wavelength in the visible spectrum is most strongly transmitted through the film?

Homework Equations


λ = 2nt/m

The Attempt at a Solution


λ = 2(1.71)(87E-9m)/(1) = 297 nm

Answer is not correct. Please point out the mistake. Thanks
 
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xamy said:

Homework Statement


A camera lens (n = 1.29) is coated with a thin film of magnesium fluoride (n = 1.71) of thickness 87.0 nm. What wavelength in the visible spectrum is most strongly transmitted through the film?

Homework Equations


λ = 2nt/m

The Attempt at a Solution


λ = 2(1.71)(87E-9m)/(1) = 297 nm

Answer is not correct. Please point out the mistake. Thanks
Look at how the refractive indices are related at each surface.
 
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