Thin film constructive vs destructive concept clarification

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SUMMARY

This discussion clarifies the conditions for constructive and destructive interference of light as it transitions through different media: vacuum, oil, and water. When light travels from air (index 1) to oil (index 1.4), a phase shift of 180 degrees occurs due to reflection at a higher refractive index. However, transitioning from oil to water (index 1.33) does not induce a phase shift. The overall interference pattern is determined by summing the phase shifts from reflections, with constructive interference occurring when the total phase shift is an integer multiple of 2π, and destructive interference occurring at odd multiples of π.

PREREQUISITES
  • Understanding of wave optics principles
  • Familiarity with refractive indices and their implications
  • Knowledge of phase shifts during reflection
  • Basic concepts of constructive and destructive interference
NEXT STEPS
  • Study the principles of thin film interference in detail
  • Learn about the mathematical formulation of phase shifts in optics
  • Explore practical applications of interference in optical coatings
  • Investigate the effects of varying refractive indices on light behavior
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Students and professionals in physics, particularly those focusing on optics, as well as anyone interested in understanding the behavior of light in different media and its applications in technology.

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Homework Statement


So if light travels from vacuum to oil to water (1 -> 1.4 -> 1.33) how do you know if there is a constructive or destructive interference?


Homework Equations





The Attempt at a Solution


I know that when it goes from air to the oil there is a phase shift of 1/2. But when it goes from oil to water, there is no phase shift. How would you determine if the entire thing is constructive or destructive or not? Would you add the two phase shifts together to determine it?
 
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If the light reflects from a medium with a higher index of refraction there is 180 deg phase change.

If the light reflects from a medium with lower index of refraction there is no phase change.

There is also no phase change from the light that is simply transmitted without reflecting, and this is true whether the light is traveling into a higher index of refraction or a lower index of refraction. Transmitted rays may have path length differences, but no phase changes.

Phase changes only happen on reflections, and only when reflecting off of a medium of higher index of refraction.
 

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