The process of using fields to compress a particle beam, like a lens focuses light.Beam focusing is the process of compressing a particle beam using electromagnetic fields, analogous to how a lens focuses light. In particle accelerators, beams of charged particles must be kept narrow and directed to maximize collision rates or to deliver precise doses in medical applications. Without focusing, the beam would spread due to mutual repulsion and momentum spread.
The concept of alternating-gradient focusing was developed in the 1950s by Ernest Courant, Milton Livingston, and Hartland Snyder, leading to the design of modern synchrotrons and storage rings.
Focusing is achieved using quadrupole magnets, which act as lenses for charged particles: they focus in one transverse plane while defocusing in the other. A sequence of alternating quadrupoles (a FODO lattice) provides net focusing in both planes. For laser beams, focusing is done with curved mirrors or lenses, but for particle beams, magnetic fields are the standard tool. More advanced techniques include plasma lenses and active feedback systems.
Beam focusing is essential in particle colliders like the LHC, where it increases luminosity, and in proton therapy machines for cancer treatment, where it shapes the dose to the tumor.
In the LHC, the beams are focused to a transverse size of about 16 micrometers at the collision points — thinner than a human hair.









