concept

focus

The point where converging rays or particles meet after being bent by a lens.
24 related articles

Description

The focus is the point at which rays of light, sound, or particles converge after being reflected or refracted by a lens or mirror. In optics, a perfect lens focuses parallel rays to a single point, but in practice, aberrations and diffraction spread the focus into a finite spot. The concept extends beyond light: gravitational lenses focus light from distant objects, and in particle physics, magnetic lenses focus charged particle beams.

History

The concept of focus dates back to ancient Greek burning glasses, but the mathematical description was developed by Ibn al-Haytham in the 11th century and later refined by Kepler and Descartes.

How it works

A lens bends rays according to Snell's law, with the amount of bending depending on the angle of incidence and the refractive index. For a spherical lens, rays parallel to the optical axis converge at the focal point, located at a distance equal to the focal length. In gravitational lensing, massive objects curve spacetime, bending light paths so that rays from a distant source converge at a focus, though the analogy is imperfect due to the absence of a single focal point.

In practice

Focusing is essential in telescopes, microscopes, cameras, and laser systems; gravitational lensing is used to study dark matter and distant galaxies, and to search for axions as described in the cited article.

Fun fact

A gravitational lens can produce multiple images of the same distant object, and the focus of these images can be so sharp that it acts as a natural telescope, magnifying objects billions of light-years away.

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Related articles · 24

General Relativity2026-08-162 minarXiv:2608.15658express
Light Bent by Gravity: Precision Down to Billionths of a Degree
A light ray passing by a massive body slightly changes its direction, like a stream of water bending around a rock in a creek. In the solar system, there are many such "rocks": planets, their moons, asteroids. And each one, with its own gravity, bends the path of light coming from distant stars.
Biological Physics2026-08-092 minarXiv:2608.08816express
The Boundary Sees All Better
If a smell seeps into a room through a slightly open door, you could stand in the middle and sniff. But the most accurate way to catch the moment the smell arrives is to stand right at the threshold. A cell behaves much the same way when it needs to measure the concentration of a substance around it.
Quantum Physics2026-08-052 minarXiv:2608.04876express
A Quantum Compass for 3D Vision
A camera looks at two distant sparks. They're so close together that they merge into a single fuzzy blob. It seems impossible to tell them apart — the classic limit of optical microscopy has been reached. But quantum mechanics hints that the light field still holds a secret about where each spark sits.
General Relativity2026-07-272 minarXiv:2607.24091express
How Gravity Repaints Gravitational Waves
Light bends in a lens — everyone knows that. Gravitational waves passing a massive body also curve their path. But the authors of this work looked further: what happens to the wave's very "color" — its polarization, that is, the direction of oscillation? Gravitational lensing is the deflection of…
Cosmology2026-07-233 minarXiv:2607.21834
Cosmic Funhouse Mirror: The Mystery of Signal GW231123
On November 23, 2023, LIGO detectors caught something strange. The gravitational wave signal from a black hole merger, designated GW231123, pointed to record masses—137 and 101 solar masses, and anomalously fast spin. That would be the most massive and fastest-spinning pair ever detected.
Cosmic Masquerade: How a Neural Network Unmasks Gravitational Lenses
Ever since Einstein predicted gravitational lensing, and gravitational waves were first heard by LIGO detectors, physicists have dreamed of catching the lensed echo — a repeating signal from one merger, multiplied by the gravity of a massive body.
General Relativity2026-06-282 minarXiv:2606.29418express
A Cosmic Lens at the Very Edge of a Black Hole
A cosmic ray approaches a black hole almost tangentially. Instead of falling straight in, it lingers on an unstable orbit, like an acrobat balancing on a tightrope over an abyss. After a few loops, the light finally escapes toward a distant observer. Such rays produce multiple images of the same source, known as higher-order images.
General Relativity2026-05-201 minarXiv:2605.21064express
Fermion Cloud as a Quantum Atmosphere of a Black Hole
In the microscopic world, the Pauli exclusion principle holds sway: fermions — particles with half-integer spin, such as electrons — cannot occupy the same quantum state. This fundamental rule of the Standard Model forces electrons in atoms to occupy different orbitals, giving matter its volume and structure.
Graviton Laser: Translating Gravity into the Language of Light
The Universe speaks two fundamental languages — gravity and light. Under normal conditions, they do not mix: gravitational waves glide through matter without a trace, while photons dance in mirror labyrinths.
General Relativity2026-05-041 minarXiv:2605.02807express
How Particle Clouds Bend Light Rays
When light swings past a massive body like a black hole, its path warps — an effect predicted by Einstein. New research has taken into account that near such objects, clouds of hadrons often swirl — the very particles we know from protons and neutrons in atomic nuclei.
Optics2026-04-281 minarXiv:2604.25475express
A Mirror That Doesn't Mess with Light
Light, like a shaken rope, oscillates in a specific plane. Astronomers and engineers often rotate images using a three-mirror system, the so-called K-mirror, but this inadvertently rotates the plane of oscillation as well. For precise measurements, that's a problem.
Mesoscale2026-04-191 minarXiv:2604.17591express
Light That Tells You Where It Came From
An ordinary light sensor answers the question "how much light" but not "where did it come from." To do that, you need lenses, mirrors, or entire arrays. In a new study, researchers propose a sensor that determines the direction of a light beam on its own, without any optics.
Cosmology2026-04-162 minarXiv:2604.15313express
Ripples of Space Through Invisible Lenses
A pebble drops into a pond, and neat circles spread across the water. But the pond's bottom is strewn with invisible glass shards: each one slightly delays the wave, scatters it here, or alters its pace. That's roughly how gravitational waves, the trembling of space itself, pass through distant galaxies and dark clumps of matter.
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.
A Single-Celled Lens: How an Alga Confuses Light and Shadow
The tiny green alga Chlamydomonas spends its life rowing with two flagella toward light, like a swimmer heading for shore. It senses light with a photoreceptor protein, and behind it lies a red spot — the 'eyespot'—which casts a shadow and helps the cell figure out where the light is coming from.
Optics2026-03-082 minarXiv:2603.07735express
Light Finds the Point Where Scattering Blows Up
Two tiny emitters, each about the size of an atom, can together do what neither can do alone. We're talking about light scattering — when light hits particles and bounces off in all directions. Usually, a pair of particles scatters light only slightly more than a single one.
Materials2026-03-051 minarXiv:2603.05242express
Ion Beam Turns Film into Magnetic Pattern
A beam of charged particles, like a fine pen, draws an invisible pattern on a metal film. Where it touches, the material changes its internal atomic order: from a close-packed arrangement, like a pyramid of oranges in a crate, the atoms rearrange into a looser one, like cubes stacked in a box.
Optics2026-03-021 minarXiv:2603.02362express
Light as Water: Seeing the Electric Field of a Pulse
Light is not just a beam but a wave with an electric field that changes at a speed unimaginable to ordinary clocks. Until now, this field could only be measured at a single point, like taking temperature with a single thermometer. Now researchers have created a method that shows the entire field at once, like a thermal imager showing a heat map.
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.
Atomic Physics2026-01-301 minarXiv:2601.22981express
Light Kicks an Atom Sideways
A football kicked with spin doesn't fly straight: it bends to the side. A tightly focused beam of light does something similar: it starts pushing an atom not just forward but also sideways. Physicists measured this shift on a single calcium ion trapped in a light trap. The beam was aimed at the atom like a spotlight on a grain of sand.
General Relativity2025-11-241 minarXiv:2511.19606express
Ghost Stars as Precise Cosmic Clocks
Scientists have described a new type of invisible star that behaves like a breathing lens. Such a star is made of ultralight boson particles (not yet discovered). Its gravity causes spacetime curvature — this is the lens, which rhythmically expands and contracts, as if breathing.
Cosmology2025-10-312 minarXiv:2510.27416express
Earth's Gravitational Lens: Hunting Axions in the Focus of Spacetime
Dark matter is the invisible scaffold of the Universe, revealing itself only through gravity. Vera Rubin, studying the rotation of galaxies, found that stars at the periphery move too fast, as if held by an unseen mass. This became compelling evidence for the existence of dark matter, yet its particles still elude direct detection.
Reflection as a Resource: Two-Pass Photon Capture
Light is a finicky guest. It flies into a cavity but doesn't stay: part of the pulse inevitably reflects and carries away quantum information. Classical single-pass capture schemes hit this limit no matter how much you improve control. Reflection was considered a loss, but the authors of a new study suggest looking at it differently.
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.