Wavelength in the visible spectrum most strongly transmitted

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SUMMARY

The discussion focuses on calculating the wavelength of light most strongly transmitted through a thin film of magnesium fluoride (n = 1.71) on a camera lens (n = 1.29) with a thickness of 87.0 nm. The initial calculation using the formula λ = 2nt/m resulted in an incorrect wavelength of 297 nm. The error lies in the application of the formula, specifically in not considering the phase change upon reflection at the boundaries of different refractive indices.

PREREQUISITES
  • Understanding of thin film interference principles
  • Familiarity with refractive indices and their implications
  • Knowledge of the formula λ = 2nt/m for wavelength calculation
  • Basic concepts of light transmission and reflection
NEXT STEPS
  • Review thin film interference and its applications in optics
  • Study the effects of phase changes during reflection at different refractive indices
  • Explore the calculation of wavelengths in various media using Snell's Law
  • Investigate the properties of magnesium fluoride coatings in optical devices
USEFUL FOR

Students studying optics, physics educators, and professionals involved in optical engineering or lens design will benefit from this discussion.

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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