Where Does the l22 Term in the Fluence Rate Numerator Come From?

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SUMMARY

The discussion centers on the origin of the term l22 in the numerator of the fluence rate equation for scattered and transferred photons. The fluence rate, denoted as ##\dot \varphi_0##, is defined at the position of the graphite cylinder, located at a distance of ##l_1 = l_2## from the source. The inquiry seeks to express the fluence rate at a distance of ##l_3## from the source in terms of ##\dot \varphi_0##, ##l_2##, and ##l_3##, without the influence of a lead shield. Understanding this relationship is crucial for accurate calculations in photon scattering scenarios.

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  • Understanding of fluence and fluence rate in photon transport.
  • Familiarity with the concepts of scattered and transferred photons.
  • Knowledge of distance variables in radiation physics, specifically l1, l2, and l3.
  • Basic grasp of mathematical expressions used in physics equations.
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Graham87
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I managed to calculate the fluence of the scattered photons. However, not the transferred photons. In the solution sheet the fluence rate has an l22 in the numerator in the end of the solution sheet. Where does that come from?

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Graham87 said:
I managed to calculate the fluence of the scattered photons. However, not the transferred photons. In the solution sheet the fluence rate has an l22 in the numerator in the end of the solution sheet. Where does that come from?
Note that ##\dot \varphi_0## is defined to be the fluence rate at the position of the graphite cylinder, which is at a distance ##l_1 = l_2## from the source. Thus, what would be the fluence rate at a distance of ##l_3## from the source, expressed in terms of ##\dot \varphi_0##, ##l_2##, and ##l_3##, assuming no lead shield?
 
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