What is the theoretical basis for Kramer's Law?

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SUMMARY

Kramer's Law defines the spectrum of Bremsstrahlung radiation emitted by charged particles, particularly electrons, when they are decelerated in the vicinity of atomic nuclei. The theoretical basis for the shape of this spectrum is rooted in the assumptions about the energy distribution of the incident electrons, which are typically modeled using a Gaussian distribution. This law is crucial for understanding the interactions between high-energy electrons and matter, particularly in fields such as medical physics and radiation therapy.

PREREQUISITES
  • Understanding of Bremsstrahlung radiation
  • Familiarity with Gaussian distribution in statistics
  • Knowledge of electron interactions with matter
  • Basic principles of quantum mechanics
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  • Research the mathematical derivation of Kramer's Law
  • Explore the applications of Bremsstrahlung in medical imaging
  • Study the impact of electron energy distribution on radiation spectra
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Physicists, medical physicists, and researchers in radiation therapy who seek to deepen their understanding of electron interactions and radiation spectra.

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Kramer's Law describes the spectrum of Bremsstrahlung:

468c95106085999af2654786188234bc.png
170px-Bremsstrahlung.svg.png


What is the theoretical basis as to why the spectrum assumes this shape?
 
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What kind of assumptions are distributions do we ascribe to the incident electrons?
 

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