
The change in direction of a wave when it bounces off a surface or boundary.Reflection is the change in direction of a wavefront when it encounters a surface or boundary that it cannot pass through. It is one of the most fundamental behaviors of waves, applying to light, sound, water waves, and even gravitational waves. The basic rule is simple: the angle at which the wave arrives equals the angle at which it leaves, measured from the normal (a line perpendicular to the surface). This law holds for smooth surfaces, producing specular reflection like a mirror, while rough surfaces scatter waves in many directions, producing diffuse reflection.
The law of reflection was known to the ancient Greeks, and Euclid described it in his work on optics around 300 BCE. Hero of Alexandria later provided a geometric proof based on the principle of least distance.
When a wave hits a boundary, the interaction is governed by the principle that the wave cannot penetrate the new medium (or can only partially). The incoming wave sets up oscillations in the boundary material, which then re-radiate waves in all directions. For a smooth, flat surface, these re-radiated waves interfere constructively in only one direction — the direction where the angle of reflection equals the angle of incidence. This is a consequence of Huygens' principle, where every point on the wavefront acts as a new source of spherical waves.
Reflection is used in countless technologies, from mirrors and periscopes to radar and sonar systems. In astronomy, the reflection of light off dust clouds reveals the structure of nebulae, and in gravitational wave astronomy, the reflection of waves off black hole horizons carries information about their properties.
A 'retroreflector' — a mirror that reflects light directly back to its source — was placed on the Moon by Apollo astronauts, and laser pulses bounced off it are still used to measure the Earth-Moon distance to centimeter precision.






