Goos hänchen shift and phase shift

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SUMMARY

The discussion centers on the Goos-Hänchen shift and phase shift associated with total internal reflection (TIR) of light waves transitioning from a denser medium to a less dense medium. It is established that the Goos-Hänchen shift results from boundary conditions at the interface, leading to a lateral shift of the light ray. While the energy associated with the evanescent wave is typically considered zero, the potential for photon tunneling in contexts like Near-field Scanning Optical Microscopy introduces complexity to this concept. The phase shift at the interface is effectively equivalent to the lateral shift experienced by the light ray.

PREREQUISITES
  • Understanding of total internal reflection (TIR)
  • Familiarity with Goos-Hänchen shift
  • Knowledge of evanescent waves
  • Basic principles of photon tunneling
NEXT STEPS
  • Research the mathematical derivation of the Goos-Hänchen shift
  • Explore the implications of evanescent waves in optical applications
  • Study the phenomenon of photon tunneling in Near-field Scanning Optical Microscopy
  • Investigate phase shifts in various optical systems
USEFUL FOR

Physicists, optical engineers, and students studying wave optics who seek to deepen their understanding of light behavior at media interfaces.

taimoortalpur
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Dear All,
I am confusing total internal reflection for a light wave traveling from denser medium to lower dense medium. I know we get lateral shift i.e. goos hänchen shift with total internal reflection, but Do we have phase shift due to goos hänchen shift with total internal reflection. Because the light travel in the less denser medium for some distance equal to lateral shift.

Secondly the lateral shift or goos hanchen shift is due to energy conservation and energy associated with evanescent wave in less denser medium. Can anybody tell me how much energy is associated with evanescent wave, as I remember its zero. If possible kindly refer some sources.

Many Thanks for your consideraion...
 
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The phase shift that occurs at the interface is equivalent to laterally shifting the light ray.

The Goos Hanchen shift occurs due to the boundary conditions at the interface between two media. Emitted energy due to a evanescent wave is usually zero, but is not implicitly zero since there is a possibility that a photon tunneling can occur such that occurs in Near-field Scanning Optical Microscopy.

Claude.
 
Many Thanks for your elaborate response. It cleared me the concept.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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