Time delay for evanescent wave to spread (photon tunnelling)

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SUMMARY

Nimtz and Stahlhofen's tunneling experiment demonstrates that the tunneling time for light between double prisms is effectively zero. Herbert Winful clarifies that the evanescent wave formed in the gap between the prisms propagates only along the surface and not towards the second prism. The energy in the gap is released simultaneously from both sides, and the evanescent wave fills the gap instantaneously due to its exponential amplitude decay. Additionally, the evanescent wave oscillates in all directions, creating a standing wave pattern influenced by the Goos-Hanchen shift.

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  • Knowledge of wave propagation principles
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Nimtz and Stahlhofen claim that their recent tunnelling experiment proves that tunnelling time for light between double prisms is zero. In Herbert Winful's response to this (http://arxiv.org/ftp/arxiv/papers/0709/0709.2736.pdf) he explains that the evanescent wave formed in the gap only has real propagation along the surface of the prism (not towards the second prism). He compares the gap to a cavity that holds energy, transverses the distance of the Goos-Hanchen shift, and then releases the energy simultaneously out of both sides of the gap. I have two questions..

1) It makes sense that after the evanescent wave fills the gap it is able to "leak" out energy into both prisms, but does it not take time for the evanescent wave to fill the gap? Why does this time not vary with gap length?

2) I have also read that this evanescent wave is a standing wave that oscillates, but it is not clear to me in which direction it oscillates? Does the waves move downwards due to the goos-hanchen shift and then another evanescent wave from new incident waves begins at the incident point periodically resulting in a standing evanescent wave moving up and down the goos-hanchen shift with time?

sorry for my ignorance this is all very new to me and I'm just trying to grasp what I can..
 
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1) The evanescent wave is able to fill the gap instantaneously because its amplitude decays exponentially with distance from the source. This means that for two prisms of a given separation, the wave will reach both prisms at the same time regardless of the length of the gap. 2) The evanescent wave oscillates in all directions. This means that when an incident wave hits the interface between the two prisms, part of the wave will be reflected and part will be transmitted into the gap. The transmitted wave will then oscillate in the gap and move towards the second prism. As the wave moves, it will encounter the Goos-Hanchen shift which will cause it to move laterally, resulting in a standing wave pattern in the gap. Thus, the wave will periodically move up and down the Goos-Hanchen shift with time.
 

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