Magetic lens electron beam bremsstrahlung

[scientist1234]

I am trying to find information about the creation of bremsstrahlung due to the convergence or deflection of an electron beam using an magnetic lens.

I can not find any information about the creation of bremsstrahlung when electron beams pass through magnetic lenses, I have only found information about bremsstrahlung when the electron beam strikes an object (metal target like in a x ray machine).

I am wondering if someone here may now the formulas to solve the creation of bremsstrahlung and so energy loss of an electron beam when it is deflected or converged by a magnetic field.

 

[NateD]

Unfortunately, I am unaware of any formulas that would specifically address the creation of bremsstrahlung due to electron beam deflection or convergence using a magnetic lens. However, there is extensive research available on the general subject of bremsstrahlung. Bremsstrahlung (German for "braking radiation") is the emission of electromagnetic radiation due to the deceleration of a charged particle when deflected by another charged particle. This type of radiation is produced when electrons are accelerated through a potential difference or when they interact with a magnetic field. When an electron beam passes through a magnetic lens, the beam can be deflected or converged depending on the strength of the magnetic field and the distance between the electron beam and the lens. The resulting deflection or convergence of the electron beam will cause the electrons to accelerate and emit bremsstrahlung radiation in the form of x-rays. This phenomenon is known as "Lorentz Force Bremsstrahlung" or "LFB". The intensity of the emitted radiation depends on the energy of the electron beam, the strength of the magnetic field, and the distance between the electron beam and the lens. The exact mathematical equations used to calculate the intensity of the emitted radiation depend on the specific conditions of the experiment and the specific type of magnetic lens being used. However, some of the equations that may be used in this context include the Bethe-Heitler equation, the Bethe-Maximon equation, and the Klein-Nishina equation. These equations can be used to calculate the angular distribution and spectral distribution of the emitted radiation. In addition to these equations, other factors such as the electron beam energy spread and the effects of multiple scatterings must also be taken into account when calculating the intensity of the emitted radiation.