Understanding Thin Film Interference

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SUMMARY

This discussion focuses on the principles of thin film interference, specifically analyzing phase shifts during light reflection at boundaries with different indices of refraction. The top material has an index of 1.80, the thin film has an index of 1.66, and the bottom material has an index of 1.50. A phase shift of π occurs when light reflects from a medium with a lower index to a higher index. The participants confirm that there is no phase shift when transitioning from the thin film to the bottom material since the index of the film (1.66) is greater than that of the bottom material (1.50).

PREREQUISITES
  • Understanding of optical physics, specifically thin film interference
  • Familiarity with the concept of indices of refraction
  • Knowledge of phase shifts in wave mechanics
  • Basic principles of light reflection and transmission
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  • Study the mathematical derivation of thin film interference patterns
  • Learn about the conditions for constructive and destructive interference in thin films
  • Explore practical applications of thin film interference in coatings and optics
  • Investigate the impact of varying film thickness on interference effects
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Homework Statement




White light is sent downward onto a horizontal thin film that is sandwiched between two materials. The indexes of refraction are 1.80 for the top material, 1.66 for the thin film, and 1.50 for the bottom material. The film thickness is 5.4 10-7 m.


Homework Equations



The Attempt at a Solution



From air to 1.80 (top), we have a phase shift of pi. From 1.80 to 1.66, we don't have phase shift, right?

From 1.66 to 1.50, do we have phase shift? Do we look at the phase shift based on n_f (index of refraction of the film) vs n?
If 1.66 is greater than 1.50 then we have a phase shift?
 

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can anyone please verify my "claim?

Thank you! sorry for the bump!
 
You get a phase shift for the reflection whenever you transition from a medium with a lower index of refraction to one of higher index of refraction.
 

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