Re: Question about the Abraham-Lorentz force

On Feb 17, 7:03 am, Dono <sa...@xxxxxxxxxxx> wrote:
The AL force is opposite to the particle speed (http://
en.wikipedia.org/wiki/Abraham-Lorentz_force). How do synchrotrons keep
particles on trajectory? How do they counter the AL force?

[Note that this formula applies only for non-relativistic
velocities...]

Quadrupole and dipole magnets for focusing, as per usual.

Notice that the force is -not- perpendicular to the trajectory, so the
only consequence will be to amplify any acceleration that is already
there. The Lorentz foce would be one, the centrifugal force would be
another.

Since it is sensitive to only -changes- in acceleration, it looks like
the force it would be most sensitive to would be the centrifugal
force. Which will be weaker and weaker as you increase the diameter of
the accelerator.

But both of those effects are already kept in check by the focusing of
the beamline by the series of magnets that drive an accelerator, so
they shouldn't be changing much and this should be a minimal effect.


Any suggestions where I can find the solution for the equation of
motion in the presence of both the Lorentz and the Abraham-Lorentz
force?

Tom Roberts will probably know the answer to this better than me but
my first suggestion other than "do it yourself" would be an
accelerator physics textbook.
.

Relevant Pages

  • Re: Question about the Abraham-Lorentz force
    ... the beamline by the series of magnets that drive an accelerator, ... they shouldn't be changing much and this should be a minimal effect. ... motion in the presence of both the Lorentz and the Abraham-Lorentz ...
    (sci.physics.relativity)
  • Re: Question about the Abraham-Lorentz force
    ... the beamline by the series of magnets that drive an accelerator, ... they shouldn't be changing much and this should be a minimal effect. ... motion in the presence of both the Lorentz and the Abraham-Lorentz ...
    (sci.physics.relativity)
  • Re: Question about the Abraham-Lorentz force
    ... the beamline by the series of magnets that drive an accelerator, ... they shouldn't be changing much and this should be a minimal effect. ... motion in the presence of both the Lorentz and the Abraham-Lorentz ...
    (sci.physics.relativity)
  • Re: Question about the Abraham-Lorentz force
    ... the beamline by the series of magnets that drive an accelerator, ... they shouldn't be changing much and this should be a minimal effect. ... motion in the presence of both the Lorentz and the Abraham-Lorentz ...
    (sci.physics.relativity)