Thin Film Interference: Can You Have a Phase Difference>2pi

AI Thread Summary
The discussion centers on the concept of phase difference in thin film interference, particularly whether a phase difference greater than 2π can be simplified to a smaller equivalent value, such as 0.25π. It is noted that while mathematically both values are equivalent, real-world factors like the coherence length of the light source can affect the stability of phase relationships. The coherence length influences how well signals with large path differences can interfere, potentially leading to cancellation failures. Additionally, the bandwidth of the source can contribute to instability in phase, resulting in less distinct interference fringes, especially in off-axis patterns. Overall, while mathematical equivalence holds, practical limitations must be considered in interference phenomena.
Riley Yakel
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If the equation for phase difference, 2(pi)(path difference/wavelength) gave you a value like 12.25pi
would that be the phase difference or would it be .25pi?
 
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Both are equivalent.
 
think about what phase difference means. If you start with a phase difference of 0.25π then complete 1 whole circle you will be back where you start, which is now 2π + 0.25π = 2.25π, one more rotation brings you to 4.25π, one more to 6.25π...you see all the possibilities that are 'equal'
 
blue_leaf77 said:
Both are equivalent.
Mathematically yes but, in real life the vector addition can go wrong because of the Coherence length of the source. Another way of looking at it is the bandwidth of the source and the phase will not be stable. This means that a signal with a large path difference will not necessarily be identical to the undelayed signal and cancellation can fail. Interference fringes get fuzzier and fuzzier for off-axis parts of the pattern.
 
sophiecentaur said:
Mathematically yes but, in real life the vector addition can go wrong because of the Coherence length of the source. Another way of looking at it is the bandwidth of the source and the phase will not be stable. This means that a signal with a large path difference will not necessarily be identical to the undelayed signal and cancellation can fail. Interference fringes get fuzzier and fuzzier for off-axis parts of the pattern.
Ah, that's a good point. I completely forget about the possibility for the source to have limited coherence length.
 
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