Phase Shifts and Interference in Reflection: Understanding the Differences

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SUMMARY

The discussion focuses on the phase shifts experienced by electromagnetic waves when reflected by mirrors and beam splitters, specifically in the context of thin film interference and Mach-Zehnder interferometers. It is established that a π phase shift occurs during reflection from a medium with a higher refractive index, while reflections at beam splitters introduce a π/2 phase shift. The difference in phase shifts is attributed to the geometry of the beam splitter and the angle of incidence of the light, which affects the resulting interference patterns.

PREREQUISITES
  • Understanding of electromagnetic wave behavior
  • Knowledge of phase shifts in optics
  • Familiarity with thin film interference principles
  • Basic concepts of Mach-Zehnder interferometers
NEXT STEPS
  • Research the principles of thin film interference in detail
  • Study the operation and design of Mach-Zehnder interferometers
  • Explore the effects of angle of incidence on phase shifts in optics
  • Investigate the characteristics and applications of beam splitters
USEFUL FOR

Students and professionals in optics, physicists studying wave behavior, and engineers working with interferometric systems will benefit from this discussion.

condorino
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Hi all!

I have a problem about the phase shift an e.m. wave acquire when, traveling through air, it's reflected back by a mirror (or a beam splitter) with n > n(air).

Now, I know the example of the thin film interference due to a π shift of the wave reflected by the medium.

But I see that in the Mach-Zender interferometer (for photons), when the two paths are different for the presence of two additonal reflections (on the beam splitters), we obtain a destructive interference (meaning a π phase shift). So it seems that each reflection on a beam splitter produces a π/2 phase shift, instead of a π phase shift.

So the thin film interference and the Mach-Zender interference have something different.

Now the question is:

Is that due to a feature (that I'm not able to find) of the beam splitters or is that a consequence of the different angle of incidence of light on the beam splitters (π/4 instead of π/2)??

Thx
 
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