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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.

Lecture 2. Beam optics: ... Consider the optical analogy of focusing a ray of light through a lens: x θ ... Properties of Solutions to Laplace’s Equation. If we adopt a cylindrical coordinate system for the solution, V, then we can guess a solution for the potential in the form of a Taylor

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