Amplitude and energy relation in optics

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SUMMARY

The discussion centers on the relationship between the transmission coefficient and power transmitivity at the interface of two dielectric media with refractive indices n1 and n2. The user, Roman, asserts that the power transmitivity should be calculated as (n2/n1) * t², while questioning whether it should instead be (n1/n2)² * t² due to the proportionality of intensity to the square of the electric field. Roman emphasizes that intensity, which is proportional to electromagnetic energy, is crucial in understanding this relationship.

PREREQUISITES
  • Understanding of dielectric materials and their properties
  • Familiarity with refractive indices and their implications in optics
  • Knowledge of transmission coefficients in electromagnetic theory
  • Basic principles of intensity and energy in electromagnetic fields
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  • Research the derivation of the transmission coefficient in optics
  • Study the relationship between electric field intensity and electromagnetic energy
  • Explore the implications of Snell's Law in dielectric interfaces
  • Learn about the energy conservation principles in optical systems
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Students and professionals in optics, physicists studying electromagnetic theory, and engineers working with dielectric materials will benefit from this discussion.

amir11
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Hi Guys

I have a very simple and basic question. Assume interface of two dielectric mediums. If the t is transmition cofficient for electricfield from medium 1 to medium 2 with refractive indexs n1 and n2, what is the transmitivity of power from medium 1 to medium 2?

I know it is n2/n1*t2. But wouldn't you expect it to be (n1/n2)2*t2 because the elecromagnetic energy is defined as epsilone*E2 which is the same as n2E2?
 
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From what I remember the transmition coefficient is defined as the ration of the intensity that is being transmitted to the total intensity and intensity is proportional to the electric field squared. Intensity is proportional to em energy. Does it make sense?

Cheers.Roman.
 

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