Does Light Have Advanced Knowledge of Denser Mediums Along Its Path?

In summary, Feynman lectures explain that light takes the shortest time path when going from air to a denser medium. This does not require any non-local phenomenon, as it is a general property of solutions to the wave equation in different media. The concept of information, including entropy and thermodynamics, can also be linked to this phenomenon. While there may be uncertainties in our understanding, the solutions to the wave equation are considered fully satisfying.
  • #1
spidey
213
0
In Feynman lectures, Feynman says if light goes from air to denser medium,light goes more in air and less in denser medium so that it takes shortest time to reach its destination.

My question are

How light knows that there is a denser medium ahead in its path?

Does light get information about the denser medium?

what is information?
 
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  • #2
Feyman's own explanation is that the light goes everywhere, but only the shortest-time path is not interfered away - in other words only the shortest-time path survives destructive inteference. This seems to require some non-local phenomenon to take place.
 
  • #3
Mentz114 said:
Feyman's own explanation is that the light goes everywhere, but only the shortest-time path is not interfered away - in other words only the shortest-time path survives destructive inteference. This seems to require some non-local phenomenon to take place.

Yes, i understand shortest time path is the only one surviving..but how does light know its destination and making its path survive from interference? Does light get information about medium and destination?
 
  • #4
spidey said:
Yes, i understand shortest time path is the only one surviving..but how does light know its destination and making its path survive from interference? Does light get information about medium and destination?
It doesn't. That was what Mentz114 just said.
 
  • #5
Refraction is a general property of solutions to the wave equation in different media. The wave equation is purely local, therefore no non-local information is required.

You can certainly describe the solution in terms of a photon asking yahoo maps to plot it the optimal route, but you don't need to do that. The optimality automatically falls out of solutions to the purely local wave equation.
 
  • #6
Spidey:
I'd say while it's experimentally known that light takes the least time path, in general the less dense medium, the precise interaction is one of many uncertainities/unknowns in physics. We have insights, as posted, maybe we can call them working rules, but they are not fully "satisfying".

As for "information", check out Wikipedia for an introduction. Entropy and thermodynamics can be considered as sub categories of information. In Claude Shannons information theory, a "bit" becomes the fundamental unit and in quantum theory, a qubit.

An interesting book is by Charles Sief: DECODING THE UNIVERSE,2006 (How the new science of information theory is explaining everything in the cosmos...)...even What is life? Does entanglement explain telepathy? and so on.
 
  • #7
I think Fermat's principle comes from Newton's first law that " all objects in uniform motion tends to be in uniform motion"..so that objects reach their destination in straight line path in least time..For objects to take other paths, a force has to be applied and this will change its uniform motion and they cannot reach their destination in least time..same applies to Light as well..Light also travels in uniform motion and tends to travel in uniform motion..Is this correct?
 
  • #8
Naty1 said:
We have insights, as posted, maybe we can call them working rules, but they are not fully "satisfying".
That is an aestetic judgement. I find Maxwell's equations, the resulting wave equation, and their solutions fully satisfying.
 

1. What is the Fermat principle?

The Fermat principle is a concept in optics that states that light will always follow the path that takes the least amount of time to travel between two points. This principle is based on the idea that light travels at different speeds through different mediums, and will therefore take the shortest path to reach its destination.

2. How does the Fermat principle relate to the behavior of light?

The Fermat principle explains the behavior of light by showing that it will always take the path of least time, which is often the straightest path. This principle is the basis for many optical phenomena, such as refraction and reflection.

3. What is the significance of the Fermat principle in optics?

The Fermat principle is significant in optics because it helps us understand and predict the behavior of light. By following this principle, we can accurately calculate the path of light and determine how it will interact with different surfaces and materials.

4. How does the Fermat principle apply to everyday life?

The Fermat principle applies to everyday life in numerous ways. For example, it explains why light appears to bend when passing through water or a glass prism, and why objects appear distorted when viewed through curved lenses. It also plays a role in the design of optical instruments, such as cameras and telescopes.

5. Are there any limitations to the Fermat principle?

While the Fermat principle is a useful tool for understanding the behavior of light, it does have some limitations. It only applies to light traveling in a uniform medium, and does not take into account other factors such as diffraction and scattering. Additionally, the principle only applies to light, and does not accurately predict the behavior of other types of electromagnetic radiation.

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