Thin Film Interference Patterns

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SUMMARY

This discussion focuses on the analysis of thin film interference patterns, specifically examining phase shifts during reflections when transitioning from air to a liquid medium. The key points include that the first reflection from glass to air incurs no phase shift, while the second reflection from air to glass results in a phase shift of π. When a liquid with an index of 4/3 replaces air, the wavelength changes, affecting the interference pattern. The participants seek to derive an expression for destructive interference based on film thickness.

PREREQUISITES
  • Understanding of thin film interference principles
  • Knowledge of phase shifts in wave reflections
  • Familiarity with refractive indices and their effects on wavelength
  • Basic mathematical skills for deriving expressions
NEXT STEPS
  • Research the derivation of thin film interference equations
  • Study the impact of varying refractive indices on interference patterns
  • Learn about conditions for constructive and destructive interference
  • Explore practical applications of thin film interference in optics
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Students studying optics, physics educators, and anyone interested in understanding the principles of thin film interference and its applications in real-world scenarios.

jegues
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Homework Statement



See figure attached.

Homework Equations





The Attempt at a Solution



Not too sure how to do this one.

I tried thinking about what it was doing before the air was replaced with the liquid.

With air,

The first reflection would have no phase shift (glass index to air index), the second reflection would have a phase shift of pi (air index to glass index) so overall we a have a phase shift of pi.

How do I obtain an expression about the interference pattern from this?

With the liquid instead of the air, we will still have a phase change of pi but the wavelength will change since the index of the liquid is 4/3 not 1.

Any ideas?

Thanks again!
 

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At what thickness values do you get destructive interference?

ehild
 
ehild said:
At what thickness values do you get destructive interference?

ehild

I have no clue. How do I go about figuring that out? I thought the type of interference I had was determined by the resultant phase shift (if any) of the 2 reflections.

Can you explain?
 
jegues said:
I thought the type of interference I had was determined by the resultant phase shift (if any) of the 2 reflections.

Yes, an the phase shift inside the wedge is 4pi times the thickness.

ehild
 

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