Find Optimal Wavelength for Thin Film Camera Lens Coated with Magnesium Fluoride

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SUMMARY

The discussion focuses on determining the optimal wavelength for a camera lens coated with a 90.0 nm thin film of magnesium fluoride (n = 1.40) over a lens with a refractive index of 1.90. The key concept is thin film interference, which requires understanding the relationship between the refractive indices and the film thickness to identify the wavelength that maximizes transmission. Participants emphasize the need for specific equations related to thin film interference to solve the problem effectively.

PREREQUISITES
  • Understanding of thin film interference principles
  • Knowledge of refractive indices and their impact on light transmission
  • Familiarity with the visible spectrum and wavelength calculations
  • Basic skills in optics and wave behavior
NEXT STEPS
  • Research the equations governing thin film interference, particularly for constructive interference
  • Learn how to calculate optimal wavelengths using the refractive indices of materials
  • Explore the impact of film thickness on light transmission in optical coatings
  • Study practical applications of thin film coatings in camera lens design
USEFUL FOR

Optics students, camera lens designers, and anyone involved in the field of optical engineering or materials science will benefit from this discussion.

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Homework Statement



A camera lens (n = 1.90) is coated with a thin film of magnesium fluoride (n = 1.40) of thickness 90.0 nm. What wavelength in the visible spectrum is most strongly transmitted through the film?


Homework Equations



?

The Attempt at a Solution



I have no idea where to start, is there an equation that will use both n's at once?
 
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