# Analogy with Light: Total Internal Reflection & Quantum Tunneling

• actionintegral
In summary, total internal reflection is a phenomenon where light is reflected back into its original medium when it reaches a boundary with a less dense medium at an angle greater than the critical angle. It is often used as an analogy for quantum tunneling, which is a similar phenomenon that occurs with particles. Quantum tunneling is when a particle can pass through an energy barrier even though it does not have enough energy to do so, due to the probabilistic nature of quantum mechanics. Both total internal reflection and quantum tunneling demonstrate the wave-particle duality of light and matter. These phenomena have practical applications in technologies such as fiber optics and electronics, allowing for imaging at the atomic level.
actionintegral
Is there an analogy between total internal reflection and quantum tunneling? And did I spell tunnelling right?

actionintegral said:
Is there an analogy between total internal reflection and quantum tunneling?
Yes, look up "frustrated total internal reflection".
And did I spell tunnelling right?
Yes, but only once.

Yes, there is an analogy between total internal reflection and quantum tunneling. In both cases, a wave or particle is confined to a certain region (such as a medium or potential barrier) and has a certain probability of crossing that boundary. In total internal reflection, a light wave is confined within a medium and has a certain angle of incidence at which it will reflect back into the medium rather than passing through it. Similarly, in quantum tunneling, a particle is confined within a potential barrier and has a certain energy at which it can tunnel through the barrier rather than being completely reflected or absorbed.

As for the spelling of "tunneling," both "tunneling" and "tunnelling" are accepted spellings, with "tunneling" being more commonly used in American English and "tunnelling" being more commonly used in British English.

## 1. What is total internal reflection?

Total internal reflection is a phenomenon that occurs when a beam of light traveling through a medium reaches a boundary with a less dense medium at an angle greater than the critical angle. Instead of passing through the boundary, the beam is reflected back into the original medium.

## 2. How is total internal reflection related to analogies with light?

Total internal reflection is often used as an analogy for quantum tunneling, which is a similar phenomenon that occurs with particles instead of light. In both cases, the energy of the particle or light beam is not enough to pass through the boundary, so it is reflected back into the original medium.

## 3. What is quantum tunneling?

Quantum tunneling is a phenomenon in quantum mechanics where a particle can pass through an energy barrier even though it does not have enough energy to do so. This is possible due to the probabilistic nature of quantum mechanics, where particles can exist in multiple states simultaneously.

## 4. How does quantum tunneling relate to total internal reflection?

Quantum tunneling and total internal reflection are both examples of the wave-particle duality of light and matter. In both cases, the particle or light beam exhibits wave-like behavior by passing through or reflecting off an energy barrier.

## 5. What practical applications does total internal reflection and quantum tunneling have?

Total internal reflection is used in various technologies, such as fiber optics, where light is guided through a medium by continuously reflecting off the boundaries. Quantum tunneling has practical applications in electronics, such as in flash memory and scanning tunneling microscopy, which allows for imaging at the atomic level.

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