Thin Film Interference Patterns

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Homework Help Overview

The discussion revolves around thin film interference patterns, specifically examining the effects of changing the medium from air to a liquid on the interference observed. Participants are exploring the phase shifts that occur during reflections at the boundaries of different media.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to analyze the phase shifts associated with reflections in air and liquid, questioning how to derive an expression for the interference pattern. Other participants inquire about the conditions for destructive interference and express uncertainty about determining thickness values related to interference.

Discussion Status

The discussion is active, with participants raising questions about the relationship between phase shifts and interference types. Some guidance has been offered regarding the phase shift inside the wedge, but there is no explicit consensus on how to proceed with the calculations or interpretations.

Contextual Notes

Participants are working with the assumption that the phase shifts are critical to understanding the interference patterns, but there is a lack of clarity on how to quantify the thickness values for destructive interference. The original poster notes the change in wavelength due to the liquid's refractive index, which may influence the analysis.

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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