process

beam focusing

The process of using fields to compress a particle beam, like a lens focuses light.
18 related articles

Description

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.

History

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.

How it works

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.

In practice

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.

Fun fact

In the LHC, the beams are focused to a transverse size of about 16 micrometers at the collision points — thinner than a human hair.

Concept graph →

Related articles · 18

Plasma waveguide for twisted electrons
A laser pulse slams into a gas cloud and knocks electrons out of it, leaving behind a bubble: a cavity almost devoid of particles. This bubble races through the plasma at nearly the speed of light, and its walls drag along the electrons trapped inside, much like a speedboat tows a water skier.
Plasma Physics2026-08-151 minarXiv:2608.15039express
Laser Corkscrew Accelerates Electrons
A regular laser beam travels straight, like the light from a flashlight. But light can be twisted into a spiral, like the thread of a corkscrew. Such a beam carries orbital angular momentum: it doesn't just illuminate, it also spins anything it encounters.
Plasma Physics2026-08-051 minarXiv:2608.04932express
A Magnetic Start for Electrons
To probe deeper into the workings of the universe, physicists accelerate electrons and smash them together. An ordinary electron is like a spinning top that wobbles randomly. For delicate experiments, you need particles whose spins all point in the same direction: this is called polarization.
Plasma Physics2026-06-052 minarXiv:2606.07147express
Industrial laser accelerates electrons
A factory laser that cuts and welds metal on production lines has been made to work as a particle accelerator for the first time. Physicists took a standard ytterbium laser, its heart is a crystal the size of a palm, and turned its flashes into a tool for accelerating electrons to nearly the speed of light.
Magnetic Forge: Plasma Pulsations Give Birth to Record Energies
Space is full of invisible sprinters — particles racing nearly at the speed of light. They are caught in the solar wind, near neutron stars, and even in the intergalactic void between galaxies. But what accelerates them where there are no shock waves or magnetic reconnections?
Medical Physics2026-04-272 minarXiv:2604.24417express
Electrons at Light Speed Against Brain Tumors
A garden hose shoots a thin, powerful jet. If you sweep it across the yard, you can water the whole bed without flooding the path. That's roughly how the new approach to treating deep tumors works: instead of a broad radiation field, you take a narrow beam of electrons accelerated to nearly the speed of light and scan it across the tumor like a jet of water.
Optics2026-04-121 minarXiv:2604.10463express
Random Light Patterns Instead of Long Scanning
Hunting for a single glowing spot in a dark sample is like trying to find a needle in a haystack: the microscope beam crawls line by line, wasting time and light. Physicists replaced this slow sweep with random light patterns. The sample is illuminated with a broad field, but each time with a new pattern of bright and dark patches, as if random shadows from a grid were projected onto it.
Proteins Frozen in Flight
Imagine trying to examine a snowflake without letting it melt or get damaged. That's roughly the challenge facing scientists who want to study individual proteins — the tiny molecular machines of life. In solution, a protein constantly jiggles and clumps with its neighbors, and in an electron microscope, the beam destroys it.
physics.acc-ph2026-03-291 minarXiv:2603.27692express
The beam squeezes itself
An electron beam in an accelerator is like a flock of birds: it flies in a tight group, but over time it spreads out. To keep particles together, heavy magnets are usually used. Here they did without them — the beam squeezed itself.
Quantum Gases2026-02-261 minarXiv:2602.23125express
The Sound That Bends Rays to a Point
The 'fish-eye' lens is an unusual piece of glass: its refractive index changes from the center to the edge so that any ray emitted from any point is focused to the point directly opposite. Making such a lens from ordinary glass is nearly impossible, but physicists found a workaround.
physics.acc-ph2026-02-221 minarXiv:2602.19081express
Light from a Perfectly Even Stream
Modern X-ray light sources are like an orchestra without a conductor: electrons in the beam fly every which way, and the radiation comes out blurry. The new idea is to make electrons line up in neat rows with a spacing of a few nanometers. Then the light they emit becomes coherent, like a laser beam.
High Energy2026-02-051 minarXiv:2602.05601express
Blazar Flares: How to Tell Particle Accelerators Apart
A blazar is a distant galaxy with a plasma jet shooting from its center, aimed almost directly at us. Inside this jet, particles are accelerated to near-light speeds and emit powerful radiation.
Plasma Physics2026-02-032 minarXiv:2602.03494express
How Plasma Focuses Itself
A laser strikes a target, and a cloud of plasma, accelerated to hundreds of kilometers per second, shoots into the chamber. The chamber isn't empty: it's filled with a tenuous gas that plays the role of the cosmic medium. The plasma slams into this gas like a speedboat hitting still water, shoving it aside.
Quantum Physics2026-01-311 minarXiv:2602.00633express
Light That Comes in Pairs
Light from an ordinary bulb is a stream of individual photons, like drops from a faucet. But there is also light where photons come in pairs, like twins walking together. Such grouped light has long been desired for measuring distances and imaging objects hidden around corners. But sources of this light were either too dim, or their flashes too short for ordinary detectors to catch.
physics.acc-ph2026-01-272 minarXiv:2601.19865express
A Laser Wall for Particle Beams
In giant particle accelerators, particles fly at nearly the speed of light and smash head-on. But sometimes one beam is slightly denser than the other, like someone stepping onto a packed escalator the wrong way. Then collisions become uneven, and detectors start 'flickering,' throwing off measurements.
Quantum Physics2026-01-221 minarXiv:2601.15565express
How Squeezed Light Makes Microscopes Sharper
Even a laser beam has an invisible tremor — quantum noise. Physicists have learned to 'squeeze' it, like a balloon pinched at the waist: the noise quiets in one direction but amplifies in another. Scientists hid the excess noise where it doesn't interfere with precise light measurements.
Plasma Physics2026-01-041 minarXiv:2601.01367express
How a Gold Accelerator Stopped Falling Apart
A heavy ion beam in an accelerator is like a crowd of people shoving each other with elbows: the more people, the wider the crowd. Charged particles repel each other, and at currents above a few microamps the beam spreads and loses its shape.
Optics2009-01-292 minarXiv:0901.4623
How to Squeeze Light Through a Needle's Eye and Keep It from Spreading
Shine a flashlight through a narrow slit, and the beam doesn't stay a thin stripe; it spreads out sideways. Light has a habit of bending around obstacles, and because of that, the smallest spot you can get with an ordinary lens is no smaller than half a wavelength.