The surface of constant phase of a propagating wave, used to describe light's spatial structure.A wavefront is an imaginary surface that connects all points of a wave that are in the same phase — for example, all the crests of a light wave at a given instant. For a simple point source, wavefronts are spheres expanding outward; for a perfectly collimated beam, they are flat planes. The concept is central to physical optics because it provides a geometric way to track how light propagates, bends, and focuses, even when the wave is distorted by lenses, mirrors, or turbulent media.
The wavefront concept was formalized by Christiaan Huygens in his 1690 Traité de la Lumière, where he introduced the principle of secondary wavelets to explain reflection and refraction.
Wavefronts are defined by the wave equation: at any moment, the wave's phase is constant along the surface. As the wave travels, each point on a wavefront acts as a source of secondary spherical waves (Huygens' principle), and the new wavefront is the envelope of these secondary waves. This allows one to compute the evolution of light through complex optical systems by tracing how the surface deforms — for instance, a perfect lens turns a spherical wavefront into a planar one, while a turbulent atmosphere wrinkles it into an irregular shape.
Adaptive optics systems in telescopes measure and correct distorted wavefronts in real time to sharpen images of stars and satellites; wavefront sensors are also used in laser eye surgery and optical testing.
A hologram stores the full wavefront of light scattered from an object, not just its intensity, which is why a holographic image appears three-dimensional and changes perspective when viewed from different angles.







