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Lecture2 Magnet Design - Fermilab

Magnetic Fields and Magnet DesignJeff Holmes, Stuart Henderson, Yan ZhangUSPASJ anuary, 2009 VanderbiltLecture 2 Beam optics: The process of guiding a charged particle beam from A to B using magnets. An array of magnets which accomplishes this is a transport system, or magnetic lattice. Recall the Lorentz Force on a particle: F = ma = e/c(E + v B) = mv2/ , where m= m0(relativistic mass)In magnetic transport systems, typically we have E=0. So, F = ma = e/c(v B) = m0 v2/ Definition of Beam OpticsThe simplest type of magnetic field is a constant field. A charged particle in a constant field executes a circular orbit, with radius and frequency .Bv To find the direction of the force on the particle, use the right-hand-rule. Force on a Particle in a Magnetic FieldWhat would happen if the initial velocity had a component in the direction of the field?

Magnetic Fields and Magnet Design Jeff Holmes, Stuart Henderson, Yan Zhang USPAS January, 2009 Vanderbilt Lecture 2. Beam optics: The process of guiding a charged particle beam from A to B using magnets. An array of magnets which accomplishes this is a transport system, or

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