What is the Damping Term of a Photon?

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    Damping Photon Term
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Discussion Overview

The discussion revolves around the concept of photon damping and attenuation, specifically examining the mathematical representation of intensity in relation to electromagnetic waves and photons. Participants explore the implications of using the attenuation equation in different contexts, including whether it accurately describes damping in terms of photons versus electromagnetic waves.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant proposes that the equation I = I_0 \cdot e^{ - (\mu \cdot z)} represents the damping term for electromagnetic waves associated with photons.
  • Another participant agrees with the use of the equation but questions the clarity of the original question, indicating a need for further elaboration.
  • A participant clarifies that if I refers to electric or magnetic field intensity, the proposed formula is correct under specific conditions, but if I refers to intensity, the formula may not be accurate.
  • It is noted that damping refers to the decrease in the number of photons as they travel through an absorbing medium, rather than damping of the photons themselves.

Areas of Agreement / Disagreement

There is no clear consensus on whether the proposed equation accurately describes damping in the context of photons versus electromagnetic waves. Participants express differing views on the interpretation of the variables and the context of the equation.

Contextual Notes

Participants highlight potential limitations in the assumptions made about the medium (homogeneous isotropic) and the definitions of intensity versus electric/magnetic field intensity, which may affect the validity of the proposed equations.

Watts
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Typically photon attenuation is determined by the equation [itex]I = I_0 \cdot e^{ - (\mu \cdot z)}[/itex]. The variable mu is the linear attenuation coefficient and z is the distance traveled through the substance of transport. Is it safe to say that [itex]I_0 \cdot e^{ - (\mu \cdot z)}[/itex] is the damping term of the electromagnetic wave for the photon? My question is can I write [itex]I(z,t) = I_0 \cdot e^{ - (\mu \cdot z)} \cdot e^{i \cdot (k \cdot z - \omega \cdot t)}[/itex].
 
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Yes. Carry on.
 
Photon

I can’t carry on any further my question is stated. Am I being unclear?
 
Watts said:
Typically photon attenuation is determined by the equation [itex]I = I_0 \cdot e^{ - (\mu \cdot z)}[/itex]. The variable mu is the linear attenuation coefficient and z is the distance traveled through the substance of transport. Is it safe to say that [itex]I_0 \cdot e^{ - (\mu \cdot z)}[/itex] is the damping term of the electromagnetic wave for the photon? My question is can I write [itex]I(z,t) = I_0 \cdot e^{ - (\mu \cdot z)} \cdot e^{i \cdot (k \cdot z - \omega \cdot t)}[/itex].


What do you mean on I? If it is electric or magnetic field intensity, your formula is right if that wave travels in direction z, in a homogeneous isotropic medium. If I is the intensity your formula is wrong. Moreover, the wave is damped, not the photon. Damping means that the number of photons decreases with the distance traveled in an absorbing medium.

ehild
 
Intensity

I is the intensity.
 
Watts said:
I is the intensity.

The intensity changes as

[tex]I=I_0 e^{-\mu z}[/tex]

ehild
 

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