A property where emitters in different locations emit light in a coordinated, phase-locked manner.Spatial coherence describes the degree to which light waves emitted from different points across a source are phase-locked, meaning their peaks and troughs align in a predictable way. A perfectly spatially coherent source behaves as if all its emission comes from a single point, producing sharp interference patterns and tightly focused beams. In contrast, an incoherent source, like a standard light bulb, emits from many independent points with random phases, washing out interference effects.
The concept was formalized in the 1930s by Frits Zernike, who developed the coherence theory and the van Cittert–Zernike theorem, building on earlier work by Emil Wolf and others.
Spatial coherence is quantified by the correlation between the electric field at two separated points in a plane perpendicular to the beam direction. If the phase difference between those points remains constant over time, the light is spatially coherent. This property is determined by the source size and distance: a smaller source and greater distance increase coherence, as described by the van Cittert–Zernike theorem. In practice, spatial coherence is achieved by passing light through a pinhole or using a laser, where the emission is naturally synchronized across the aperture.
Spatial coherence is essential for holography, interferometry, and laser-based applications like LIGO's gravitational wave detection, where phase stability across a wide aperture is critical.
The light from a distant star, despite being emitted from a huge surface, can have high spatial coherence when it reaches Earth because the star's angular size is tiny, making it behave like a point source.







