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











