Probability of photons reflecting or refracting

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    Photons Probability
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SUMMARY

The probability of a photon reflecting or refracting when transitioning between mediums is determined by the angle of incidence and the refractive indices of the involved materials. Specifically, the classical electromagnetic (EM) Fresnel relations provide the necessary equations to calculate these probabilities. For a photon striking a sheet of glass at a 45-degree angle, the reflection (R) and transmission (T) coefficients can be derived from these relations, as detailed in standard EM textbooks and resources such as the University of Texas lecture notes.

PREREQUISITES
  • Understanding of classical electromagnetic theory
  • Familiarity with Fresnel equations
  • Knowledge of refractive index concepts
  • Basic skills in calculating angles and probabilities
NEXT STEPS
  • Study the Fresnel equations in detail to understand reflection and transmission coefficients
  • Calculate photon probabilities for various angles of incidence using the Fresnel relations
  • Explore the implications of different refractive indices on photon behavior
  • Review classical EM textbooks for deeper insights into light-matter interactions
USEFUL FOR

Physicists, optical engineers, and students studying electromagnetic theory who are interested in the behavior of photons at material interfaces.

QuED
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I understand that the probability of a photon refracting or reflecting between mediums is dependent on the photon's angle of incidence and the two medium's refractive indexes.

How can I calculate the probability of a photon reflecting instead of refracting for example, a sheet of glass at a 45 degree angle of incidence?

thanks
 
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All the photon probabilities come from the classical EM Fresnel relations. These are given in most EM textbooks. The classical reflection (R) and transmission (T) coefficients derived from the Fresnel relations are just the photon probabilities.
 

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